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Author ID: michiels.wim Recent zbMATH articles by "Michiels, Wim"
Published as: Michiels, Wim; Michiels, W.
External Links: MGP
all top 5

Co-Authors

5 single-authored
19 Niculescu, Silviu-Iulian
14 Meerbergen, Karl
13 Jarlebring, Elias
9 Gomez, Marco A.
9 Gumussoy, Suat
9 Nijmeijer, Henk
9 Zhou, Bin
8 Roose, Dirk
8 Vyhlídal, Tomáš
6 Appeltans, Pieter
6 Steur, Erik
6 Van Beeumen, Roel
5 Diehl, Moritz Mathias
5 Mondié, Sabine
5 Richard, Jean-Pierre
4 Vanbiervliet, Joris
3 Dileep, Deesh
3 Efimov, Denis V.
3 Engelborghs, Koen
3 Fenzi, Luca
3 Hetel, Laurentiu
3 Huijberts, Henri J. C.
3 Jungers, Raphaël M.
3 Pilbauer, Dan
3 Pipeleers, Goele
3 Ruymbeek, Koen
3 Silm, Haik
3 Ünal, Hakkı Ulaş
3 Ushirobira, Rosane
2 Abdallah, Chaouki Tanios
2 Borgioli, Francesco
2 Boussaada, Islam
2 Fridman, Emilia
2 Green, Kirk
2 Gu, Keqin
2 Hilhorst, Gijs
2 Kungurtsev, Vyacheslav
2 Kvaal, Simen
2 Mengi, Emre
2 Moreau, Luc
2 Pogromsky, Alexander Yu.
2 Rogov, Kirill
2 Su, Libo
2 Swevers, Jan
2 Tran Dinh Quoc
2 van de Wouw, Nathan
2 Vandereycken, Bart
2 Vandewalle, Stefan G.
2 Verheyden, Koen
2 Verriest, Erik I.
2 Wagenknecht, Thomas
2 Zhang, Zhe
1 Aeyels, Dirk
1 Anderle, Milan
1 Besselink, Bart
1 Biemond, J. J. Benjamin
1 Boucher, Xavier
1 Bušek, Jaroslav
1 Čelikovský, Sergej
1 Cepeda-Gomez, Rudy
1 Chen, Jie
1 Dambrine, Michel
1 Damm, Tobias
1 De Iuliis, Vittorio
1 Dochain, Denis
1 Duan, Guangren
1 Egorov, Alexey V.
1 Fiter, Christophe
1 Guglielmi, Nicola
1 Güttel, Stefan
1 Henrion, Didier
1 Jungers, Marc
1 Kangal, Fatih
1 Kharitonov, Vladimir Leonidovich
1 Liu, Qingsong
1 Lu, Ding
1 Luzyanina, Tatyana
1 Mattenet, Sébastien Maurice
1 McGahan, Paul
1 Melchor-Aguilar, Daniel
1 Michel, Loïc
1 Morărescu, Constantin-Irinel
1 Morărescu, Irinel-Constantin
1 Osta, David
1 Pepe, Pierdomenico
1 Provoost, Evert
1 Sepulchre, Rodolphe J.
1 Sipahi, Rifat
1 Song, Yunxia
1 Thomas, Jijju
1 Valmórbida, Giórgio
1 van Assche, Vincent
1 van Leeuwen, Cees
1 Van Parys, Ruben
1 Vansevenant, P.
1 Vite-Hernández, Leopoldo
1 Wei, Yanling
1 Wu, Zhen
1 Yang, Xuefei
1 Zhao, Tianrui
...and 1 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 1,542 times in 949 Documents Cited by Year
Stability and stabilization of time-delay systems. An eigenvalue based approach. Zbl 1140.93026
Michiels, Wim; Niculescu, Silviu-Iulian
133
2007
Stability and stabilization of systems with time delay: limitations and opportunities. Zbl 1395.93271
Sipahi, Rifat; Niculescu, Silviu-Iulian; Abdallah, Chaouki T.; Michiels, Wim; Gu, Keqin
126
2011
Finite spectrum assignment of unstable time-delay systems with a safe implementation. Zbl 1364.93312
Mondié, Sabine; Michiels, Wim
105
2003
Stability, control, and computation of time-delay systems. An eigenvalue based approach. 2nd revised ed. Zbl 1305.93002
Michiels, Wim; Niculescu, Silviu-Iulian
65
2014
Continuous pole placement for delay equations. Zbl 1034.93026
Michiels, W.; Engelborghs, K.; Vansevenant, P.; Roose, D.
50
2002
Compact rational Krylov methods for nonlinear eigenvalue problems. Zbl 1319.65042
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
48
2015
Stabilizing a chain of integrators using multiple delays. Zbl 1365.93412
Niculescu, Silviu-Iulian; Michiels, Wim
44
2004
Combining convex-concave decompositions and linearization approaches for solving BMIs, with application to static output feedback. Zbl 1369.90170
Tran Dinh, Quoc; Gumussoy, Suat; Michiels, Wim; Diehl, Moritz
43
2012
NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems. Zbl 1321.47128
Güttel, Stefan; van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
40
2014
Static output feedback stabilization: necessary conditions for multiple delay controllers. Zbl 1365.93448
Kharitonov, Vladimir L.; Niculescu, Silviu-Iulian; Moreno, Jaime; Michiels, Wim
39
2005
Consensus problems with distributed delays, with application to traffic flow models. Zbl 1182.93069
Michiels, Wim; Morărescu, Constantin-Irinel; Niculescu, Silviu-Iulian
38
2009
Stabilization of time-delay systems with a controlled time-varying delay and applications. Zbl 1365.93411
Michiels, Wim; Van Assche, Vincent; Niculescu, Silviu-Iulian
37
2005
An eigenvalue based approach for the stabilization of linear time-delay systems of neutral type. Zbl 1091.93026
Michiels, Wim; Vyhlídal, Tomáš
36
2005
A linear eigenvalue algorithm for the nonlinear eigenvalue problem. Zbl 1256.65043
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl
32
2012
Characterizing and computing the \(\mathcal H_2\) norm of time-delay systems by solving the delay Lyapunov equation. Zbl 1368.93094
Jarlebring, Elias; Vanbiervliet, Joris; Michiels, Wim
32
2011
Reliably computing all characteristic roots of delay differential equations in a given right half plane using a spectral method. Zbl 1237.65065
Wu, Zhen; Michiels, Wim
31
2012
Krylov-based model order reduction of time-delay systems. Zbl 1247.65086
Michiels, Wim; Jarlebring, Elias; Meerbergen, Karl
28
2011
A Krylov method for the delay eigenvalue problem. Zbl 1226.65069
Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim
26
2010
On the delay sensitivity of Smith predictors. Zbl 1052.93029
Michiels, W.; Niculescu, S.-I.
24
2003
A rational Krylov method based on Hermite interpolation for nonlinear eigenvalue problems. Zbl 1284.47041
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
24
2013
Sensitivity to infinitesimal delays in neutral equations. Zbl 1016.34079
Michiels, W.; Engelborghs, K.; Roose, D.; Dochain, D.
19
2001
A nonsmooth optimisation approach for the stabilisation of time-delay systems. Zbl 1146.65056
Vanbiervliet, Joris; Verheyden, Koen; Michiels, Wim; Vandewalle, Stefan
19
2008
Synchronization of delay-coupled nonlinear oscillators: an approach based on the stability analysis of synchronized equilibria. Zbl 1317.34121
Michiels, Wim; Nijmeijer, Henk
19
2009
Strong stability of neutral equations with an arbitrary delay dependency structure. Zbl 1194.93190
Michiels, Wim; Vyhlídal, Tomáš; Zítek, Pavel; Nijmeijer, Henk; Henrion, Didier
18
2009
An inverse iteration method for eigenvalue problems with eigenvector nonlinearities. Zbl 1307.65068
Jarlebring, Elias; Kvaal, Simen; Michiels, Wim
18
2014
Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems. Zbl 1108.15010
Michiels, Wim; Green, Kirk; Wagenknecht, Thomas; Niculescu, Silviu-Iulian
16
2006
Linearization of Lagrange and Hermite interpolating matrix polynomials. Zbl 1314.41002
van Beeumen, Roel; Michiels, Wim; Meerbergen, Karl
16
2015
Model reduction of time-delay systems using position balancing and delay Lyapunov equations. Zbl 1272.93036
Jarlebring, Elias; Damm, Tobias; Michiels, Wim
16
2013
Fixed-order H-infinity control for interconnected systems using delay differential algebraic equations. (Fixed-order \(H_{\infty}\) control for interconnected systems using delay differential algebraic equations.) Zbl 1234.93038
Gumussoy, Suat; Michiels, Wim
15
2011
Computing a partial Schur factorization of nonlinear eigenvalue problems using the infinite Arnoldi method. Zbl 1319.65040
Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim
14
2014
Invariance properties in the root sensitivity of time-delay systems with double imaginary roots. Zbl 1191.93049
Jarlebring, Elias; Michiels, Wim
13
2010
An explicit formula for the splitting of multiple eigenvalues for nonlinear eigenvalue problems and connections with the linearization for the delay eigenvalue problem. Zbl 1515.35177
Michiels, Wim; Boussaada, Islam; Niculescu, Silviu-Iulian
13
2017
The effect of approximating distributed delay control laws on stability. Zbl 1134.93392
Michiels, Wim; Mondié, Sabine; Roose, Dirk; Dambrine, Michel
12
2004
Using delays and time-varying gains to improve the static output feedback stabilizability of linear systems: a comparison. Zbl 1083.93047
Michiels, Wim; Niculescu, Silviu-Iulian; Moreau, Luc
12
2004
A subspace method for large-scale eigenvalue optimization. Zbl 1378.65090
Kangal, Fatih; Meerbergen, Karl; Mengi, Emre; Michiels, Wim
12
2018
Networks of diffusively time-delay coupled systems: conditions for synchronization and its relation to the network topology. Zbl 1345.34126
Steur, Erik; Michiels, Wim; Huijberts, Henri; Nijmeijer, Henk
12
2014
Computing all pairs \((\lambda , \mu )\) such that \(\lambda \) is a double eigenvalue of \(A+\mu B\). Zbl 1245.65043
Jarlebring, Elias; Kvaal, Simen; Michiels, Wim
10
2011
Optimization of the \(\mathcal H_2\) norm for single-delay systems, with application to control design and model approximation. Zbl 1482.93191
Gomez, Marco A.; Egorov, Alexey V.; Mondié, Sabine; Michiels, Wim
10
2019
Fixed-time stabilization of linear delay systems by smooth periodic delayed feedback. Zbl 07480806
Zhou, Bin; Michiels, Wim; Chen, Jie
10
2022
Stabilizability and stability robustness of state derivative feedback controllers. Zbl 1176.93064
Michiels, Wim; Vyhlídal, Tomáš; Huijberts, Henri; Nijmeijer, Henk
9
2009
Some special cases in the stability analysis of multi-dimensional time-delay systems using the matrix Lambert \(W\) function. Zbl 1371.93089
Cepeda-Gomez, Rudy; Michiels, Wim
9
2015
An eigenvalue based approach for the robust stabilization of linear time-delay systems. Zbl 1039.93059
Michiels, W.; Roose, D.
9
2003
Using spectral discretisation for the optimal \(\mathcal H_{2}\) design of time-delay systems. Zbl 1222.93177
Vanbiervliet, Joris; Michiels, Wim; Jarlebring, Elias
8
2011
A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems. Zbl 1413.65105
Van Beeumen, Roel; Jarlebring, Elias; Michiels, Wim
8
2016
Analyzing the convergence factor of residual inverse iteration. Zbl 1247.65070
Jarlebring, Elias; Michiels, Wim
7
2011
Stability analysis of systems with stochastically varying delays. Zbl 1181.93088
Verriest, Erik I.; Michiels, Wim
7
2009
The smoothed spectral abscissa for robust stability optimization. Zbl 1185.93110
Vanbiervliet, Joris; Vandereycken, Bart; Michiels, Wim; Vandewalle, Stefan; Diehl, Moritz
7
2009
Stability analysis of some classes of TCP/AQM networks. Zbl 1125.93445
Michiels, W.; Melchor-Aguilar, D.; Niculescu, S.-I.
7
2006
Robustness assessment via stability radii in delay parameters. Zbl 1298.93266
Michiels, Wim; Fridman, Emilia; Niculescu, Silviu-Iulian
7
2009
Sufficient LMI conditions for reduced-order multi-objective \(\mathcal H_2/\mathcal H_\infty\) control of LTI systems. Zbl 1360.93217
Hilhorst, Gijs; Pipeleers, Goele; Michiels, Wim; Swevers, Jan
7
2015
A note on distributed finite-time observers. Zbl 1482.93411
Silm, Haik; Ushirobira, Rosane; Efimov, Denis; Richard, Jean-Pierre; Michiels, Wim
7
2019
Delay effects on output feedback control of dynamical systems. Zbl 1237.93077
Niculescu, Silviu-Iulian; Michiels, Wim; Gu, Keqin; Abdallah, Chaouki T.
6
2010
Stability analysis of a fluid flow model for TCP like behavior. Zbl 1092.93580
Michiels, Wim; Niculescu, Silviu-Iulian
6
2005
Characterization of delay-independent stability and delay interference phenomena. Zbl 1134.34050
Michiels, Wim; Niculescu, Silviu-Iulian
6
2007
Stability analysis of linear time-varying time-delay systems by non-quadratic Lyapunov functions with indefinite derivatives. Zbl 1408.93115
Zhao, Tianrui; Zhou, Bin; Michiels, Wim
6
2018
Synthesis of strongly stable state-derivative controllers for a time-delay system using constrained non-smooth optimization. Zbl 1206.93038
Vyhlídal, Tomáš; Michiels, Wim; McGahan, Paul
5
2010
Stabilizability via time-delayed feedback: an eigenvalue optimization approach. Zbl 1159.93023
Huijberts, Henri; Michiels, Wim; Nijmeijer, Henk
5
2009
Structured pseudospectra for nonlinear eigenvalue problems. Zbl 1149.65063
Wagenknecht, T.; Michiels, W.; Green, K.
5
2008
Robust stability optimization for linear delay systems in a probabilistic framework. Zbl 1362.65043
Fenzi, Luca; Michiels, Wim
5
2017
A predictor-corrector type algorithm for the pseudospectral abscissa computation of time-delay systems. Zbl 1193.93105
Gumussoy, Suat; Michiels, Wim
5
2010
Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix. Zbl 1429.93115
Gomez, Marco A.; Michiels, Wim; Mondié, Sabine
5
2019
Design of robust decentralised controllers for MIMO plants with delays through network structure exploitation. Zbl 1453.93120
Dileep, Deesh; Van Parys, Ruben; Pipeleers, Goele; Hetel, Laurentiu; Richard, Jean-Pierre; Michiels, Wim
5
2020
Distributed delay input shaper design by optimizing smooth kernel functions. Zbl 1395.93218
Pilbauer, Dan; Michiels, Wim; Vyhlídal, Tomáš
5
2017
Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems. Zbl 1002.34069
Michiels, W.; Sepulchre, R.; Roose, D.
4
2001
Design of pseudo-predictor feedback for neutral-type linear systems with both state and input delays. Zbl 1429.93121
Zhou, Bin; Liu, Qingsong; Michiels, Wim
4
2019
On the fixed-time stabilization of input delay systems using act-and-wait control. Zbl 1454.93251
Michiels, Wim; Zhou, Bin
4
2020
A novel method to compute the structured distance to instability for combined uncertainties on delays and system matrices. Zbl 07256297
Borgioli, Francesco; Michiels, Wim
4
2020
Characterization and computation of \({\mathcal H}_\infty\) norms for time-delay systems. Zbl 1202.93062
Michiels, Wim; Gumussoy, Suat
4
2010
A simple finite-time distributed observer design for linear time-invariant systems. Zbl 1447.93128
Silm, Haik; Efimov, Denis; Michiels, Wim; Ushirobira, Rosane; Richard, Jean-Pierre
4
2020
Mathematical and computational tools for the stability analysis of time-varying delay systems and applications in mechanical engineering. Zbl 1246.93057
Michiels, Wim; Verheyden, Koen; Niculescu, Silviu-Iulian
3
2007
Inverse routh table construction and stability of delay equations. Zbl 1100.93040
Verriest, Erik I.; Michiels, Wim
3
2006
Model reduction for delay differential equations with guaranteed stability and error bound. Zbl 1378.93028
van de Wouw, Nathan; Michiels, Wim; Besselink, Bart
3
2015
Effect of a distributed delay on relative stability of diffusely coupled systems, with application to synchronized equilibria. Zbl 1334.93147
Morărescu, Irinel-Constantin; Michiels, Wim; Jungers, Marc
3
2016
Characterization and optimization of the smoothed spectral abscissa for time-delay systems. Zbl 1426.93250
Gomez, Marco A.; Michiels, Wim
3
2019
Polynomial (chaos) approximation of maximum eigenvalue functions. Efficiency and limitations. Zbl 1437.65016
Fenzi, Luca; Michiels, Wim
3
2019
Pattern analysis in networks of diffusively coupled Lur’e systems. Zbl 1432.34040
Rogov, Kirill; Pogromsky, Alexander; Steur, Erik; Michiels, Wim; Nijmeijer, Henk
3
2019
Estimation of basins of attraction for controlled systems with input saturation and time-delays. Zbl 1344.93053
Biemond, J. J. Benjamin; Michiels, Wim
3
2016
Characterization and computation of partial synchronization manifolds for diffusive delay-coupled systems. Zbl 1356.34072
Steur, E.; Ünal, H. U.; van Leeuwen, C.; Michiels, W.
3
2016
Stability analysis of oscillatory systems subject to large delays: a synchronization point of view. Zbl 1269.93084
Michiels, Wim
3
2010
An iterative method for computing the pseudospectral abscissa for a class of nonlinear eigenvalue problems. Zbl 1251.35061
Michiels, Wim; Guglielmi, Nicola
3
2012
On the dual linear periodic time-delay system: spectrum and Lyapunov matrices, with application to \(\mathcal{H}_2\) analysis and balancing. Zbl 1466.93077
Michiels, Wim; Gomez, Marco A.
3
2020
Robust partial synchronization of delay-coupled networks. Zbl 1431.34069
Su, Libo; Wei, Yanling; Michiels, Wim; Steur, Erik; Nijmeijer, Henk
3
2020
On the \(m\)-dimensional Cayley-Hamilton theorem and its application to an algebraic decision problem inferred from the \(\mathcal{H}_2\) norm analysis of delay systems. Zbl 1440.93142
Gomez, Marco A.; Jungers, Raphaël M.; Michiels, Wim
3
2020
Distributed observers with time-varying delays. Zbl 07480544
Silm, Haik; Ushirobira, Rosane; Efimov, Denis; Fridman, Emilia; Richard, Jean-Pierre; Michiels, Wim
3
2021
Prediction of partial synchronization in delay-coupled nonlinear oscillators, with application to Hindmarsh-Rose neurons. Zbl 1293.34098
Ünal, Hakkı Ulaş; Michiels, Wim
3
2013
Computing delay Lyapunov matrices and \(\mathcal{H}_2\) norms for large-scale problems. Zbl 1474.34426
Michiels, Wim; Zhou, Bin
3
2019
Control design and experimental validation for flexible multi-body systems pre-compensated by inverse shapers. Zbl 1386.93136
Pilbauer, Dan; Michiels, Wim; Bušek, Jaroslav; Osta, David; Vyhlídal, Tomáš
2
2018
Software for stability and bifurcation analysis of delay differential equations and applications to stabilization. Zbl 1065.34077
Roose, Dirk; Luzyanina, Tatyana; Engelborghs, Koen; Michiels, Wim
2
2004
The infinite Arnoldi method and an application to time-delay systems with distributed delays. Zbl 1298.65194
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl
2
2012
Pseudo predictor feedback stabilisation of linear systems with both state and input delays. Zbl 1478.93516
Zhang, Zhe; Zhou, Bin; Michiels, Wim
2
2021
Calculating the minimal/maximal eigenvalue of symmetric parameterized matrices using projection. Zbl 1474.65088
Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim
2
2019
Design of \(\mathcal{L}_2\) stable fixed-order decentralised controllers in a network of sampled-data systems with time-delays. Zbl 1455.93006
Dileep, Deesh; Thomas, Jijju; Hetel, Laurentiu; van de Wouw, Nathan; Richard, Jean-Pierre; Michiels, Wim
2
2020
Spectrum-based stability analysis and stabilization of time-periodic time-delay systems. Zbl 1461.65049
Michiels, Wim; Fenzi, Luca
2
2020
Analysis and computation of the \(\mathcal{H}_2\) norm of delay differential algebraic equations. Zbl 07256336
Gomez, Marco A.; Michiels, Wim
2
2020
Design of structured controllers for linear time-delay systems. Zbl 1504.93183
Michiels, Wim
2
2023
A method for computation and analysis of partial synchronization manifolds of delay coupled systems. Zbl 1504.93361
Su, Libo; Michiels, Wim; Steur, Erik; Nijmeijer, Henk
2
2022
Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices. Zbl 1485.65039
Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim
2
2022
Strong stability analysis of linear delay-difference equations with multiple time delays. Zbl 1471.93213
Song, Yunxia; Michiels, Wim; Zhou, Bin; Duan, Guang-Ren
2
2021
An SL/QP algorithm for minimizing the spectral abscissa of time delay systems. Zbl 1390.90417
Kungurtsev, Vyacheslav; Michiels, Wim; Diehl, Moritz
1
2017
Robustness of nonlinear delay equations with respect to input perturbations: a trajectory-based approach. Zbl 1069.93037
Moreau, Luc; Michiels, Wim; Aeyels, Dirk; Roose, Dirk
1
2002
Design of structured controllers for linear time-delay systems. Zbl 1504.93183
Michiels, Wim
2
2023
Fixed-time stabilization of linear delay systems by smooth periodic delayed feedback. Zbl 07480806
Zhou, Bin; Michiels, Wim; Chen, Jie
10
2022
A method for computation and analysis of partial synchronization manifolds of delay coupled systems. Zbl 1504.93361
Su, Libo; Michiels, Wim; Steur, Erik; Nijmeijer, Henk
2
2022
Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices. Zbl 1485.65039
Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim
2
2022
Subspace method for multiparameter-eigenvalue problems based on tensor-train representations. Zbl 07584147
Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim
1
2022
On the strong \(\mathcal{H}_2\) norm of differential algebraic systems with multiple delays: finiteness criteria, regularization, and computation. Zbl 07480760
Gomez, Marco A.; Jungers, Raphaël M.; Michiels, Wim
1
2022
Distributed observers with time-varying delays. Zbl 07480544
Silm, Haik; Ushirobira, Rosane; Efimov, Denis; Fridman, Emilia; Richard, Jean-Pierre; Michiels, Wim
3
2021
Pseudo predictor feedback stabilisation of linear systems with both state and input delays. Zbl 1478.93516
Zhang, Zhe; Zhou, Bin; Michiels, Wim
2
2021
Strong stability analysis of linear delay-difference equations with multiple time delays. Zbl 1471.93213
Song, Yunxia; Michiels, Wim; Zhou, Bin; Duan, Guang-Ren
2
2021
A pseudo-spectrum based characterization of the robust strong H-infinity norm of time-delay systems with real-valued and structured uncertainties. Zbl 1475.93034
Appeltans, Pieter; Michiels, Wim
1
2021
Design of robust decentralised controllers for MIMO plants with delays through network structure exploitation. Zbl 1453.93120
Dileep, Deesh; Van Parys, Ruben; Pipeleers, Goele; Hetel, Laurentiu; Richard, Jean-Pierre; Michiels, Wim
5
2020
On the fixed-time stabilization of input delay systems using act-and-wait control. Zbl 1454.93251
Michiels, Wim; Zhou, Bin
4
2020
A novel method to compute the structured distance to instability for combined uncertainties on delays and system matrices. Zbl 07256297
Borgioli, Francesco; Michiels, Wim
4
2020
A simple finite-time distributed observer design for linear time-invariant systems. Zbl 1447.93128
Silm, Haik; Efimov, Denis; Michiels, Wim; Ushirobira, Rosane; Richard, Jean-Pierre
4
2020
On the dual linear periodic time-delay system: spectrum and Lyapunov matrices, with application to \(\mathcal{H}_2\) analysis and balancing. Zbl 1466.93077
Michiels, Wim; Gomez, Marco A.
3
2020
Robust partial synchronization of delay-coupled networks. Zbl 1431.34069
Su, Libo; Wei, Yanling; Michiels, Wim; Steur, Erik; Nijmeijer, Henk
3
2020
On the \(m\)-dimensional Cayley-Hamilton theorem and its application to an algebraic decision problem inferred from the \(\mathcal{H}_2\) norm analysis of delay systems. Zbl 1440.93142
Gomez, Marco A.; Jungers, Raphaël M.; Michiels, Wim
3
2020
Design of \(\mathcal{L}_2\) stable fixed-order decentralised controllers in a network of sampled-data systems with time-delays. Zbl 1455.93006
Dileep, Deesh; Thomas, Jijju; Hetel, Laurentiu; van de Wouw, Nathan; Richard, Jean-Pierre; Michiels, Wim
2
2020
Spectrum-based stability analysis and stabilization of time-periodic time-delay systems. Zbl 1461.65049
Michiels, Wim; Fenzi, Luca
2
2020
Analysis and computation of the \(\mathcal{H}_2\) norm of delay differential algebraic equations. Zbl 07256336
Gomez, Marco A.; Michiels, Wim
2
2020
Optimization of the \(\mathcal H_2\) norm for single-delay systems, with application to control design and model approximation. Zbl 1482.93191
Gomez, Marco A.; Egorov, Alexey V.; Mondié, Sabine; Michiels, Wim
10
2019
A note on distributed finite-time observers. Zbl 1482.93411
Silm, Haik; Ushirobira, Rosane; Efimov, Denis; Richard, Jean-Pierre; Michiels, Wim
7
2019
Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix. Zbl 1429.93115
Gomez, Marco A.; Michiels, Wim; Mondié, Sabine
5
2019
Design of pseudo-predictor feedback for neutral-type linear systems with both state and input delays. Zbl 1429.93121
Zhou, Bin; Liu, Qingsong; Michiels, Wim
4
2019
Characterization and optimization of the smoothed spectral abscissa for time-delay systems. Zbl 1426.93250
Gomez, Marco A.; Michiels, Wim
3
2019
Polynomial (chaos) approximation of maximum eigenvalue functions. Efficiency and limitations. Zbl 1437.65016
Fenzi, Luca; Michiels, Wim
3
2019
Pattern analysis in networks of diffusively coupled Lur’e systems. Zbl 1432.34040
Rogov, Kirill; Pogromsky, Alexander; Steur, Erik; Michiels, Wim; Nijmeijer, Henk
3
2019
Computing delay Lyapunov matrices and \(\mathcal{H}_2\) norms for large-scale problems. Zbl 1474.34426
Michiels, Wim; Zhou, Bin
3
2019
Calculating the minimal/maximal eigenvalue of symmetric parameterized matrices using projection. Zbl 1474.65088
Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim
2
2019
A globally convergent method to compute the real stability radius for time-delay systems. Zbl 1425.93223
Borgioli, Francesco; Michiels, Wim; Lu, Ding; Vandereycken, Bart
1
2019
A comparison of shaper-based and shaper-free architectures for feedforward compensation of flexible modes. Zbl 1447.93112
Pilbauer, Dan; Michiels, Wim; Vyhlídal, Tomáš
1
2019
A subspace method for large-scale eigenvalue optimization. Zbl 1378.65090
Kangal, Fatih; Meerbergen, Karl; Mengi, Emre; Michiels, Wim
12
2018
Stability analysis of linear time-varying time-delay systems by non-quadratic Lyapunov functions with indefinite derivatives. Zbl 1408.93115
Zhao, Tianrui; Zhou, Bin; Michiels, Wim
6
2018
Control design and experimental validation for flexible multi-body systems pre-compensated by inverse shapers. Zbl 1386.93136
Pilbauer, Dan; Michiels, Wim; Bušek, Jaroslav; Osta, David; Vyhlídal, Tomáš
2
2018
An explicit formula for the splitting of multiple eigenvalues for nonlinear eigenvalue problems and connections with the linearization for the delay eigenvalue problem. Zbl 1515.35177
Michiels, Wim; Boussaada, Islam; Niculescu, Silviu-Iulian
13
2017
Robust stability optimization for linear delay systems in a probabilistic framework. Zbl 1362.65043
Fenzi, Luca; Michiels, Wim
5
2017
Distributed delay input shaper design by optimizing smooth kernel functions. Zbl 1395.93218
Pilbauer, Dan; Michiels, Wim; Vyhlídal, Tomáš
5
2017
An SL/QP algorithm for minimizing the spectral abscissa of time delay systems. Zbl 1390.90417
Kungurtsev, Vyacheslav; Michiels, Wim; Diehl, Moritz
1
2017
Computation of pseudospectral abscissa for large-scale nonlinear eigenvalue problems. Zbl 1433.65270
Meerbergen, Karl; Michiels, Wim; Van Beeumen, Roel; Mengi, Emre
1
2017
A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems. Zbl 1413.65105
Van Beeumen, Roel; Jarlebring, Elias; Michiels, Wim
8
2016
Effect of a distributed delay on relative stability of diffusely coupled systems, with application to synchronized equilibria. Zbl 1334.93147
Morărescu, Irinel-Constantin; Michiels, Wim; Jungers, Marc
3
2016
Estimation of basins of attraction for controlled systems with input saturation and time-delays. Zbl 1344.93053
Biemond, J. J. Benjamin; Michiels, Wim
3
2016
Characterization and computation of partial synchronization manifolds for diffusive delay-coupled systems. Zbl 1356.34072
Steur, E.; Ünal, H. U.; van Leeuwen, C.; Michiels, W.
3
2016
Compact rational Krylov methods for nonlinear eigenvalue problems. Zbl 1319.65042
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
48
2015
Linearization of Lagrange and Hermite interpolating matrix polynomials. Zbl 1314.41002
van Beeumen, Roel; Michiels, Wim; Meerbergen, Karl
16
2015
Some special cases in the stability analysis of multi-dimensional time-delay systems using the matrix Lambert \(W\) function. Zbl 1371.93089
Cepeda-Gomez, Rudy; Michiels, Wim
9
2015
Sufficient LMI conditions for reduced-order multi-objective \(\mathcal H_2/\mathcal H_\infty\) control of LTI systems. Zbl 1360.93217
Hilhorst, Gijs; Pipeleers, Goele; Michiels, Wim; Swevers, Jan
7
2015
Model reduction for delay differential equations with guaranteed stability and error bound. Zbl 1378.93028
van de Wouw, Nathan; Michiels, Wim; Besselink, Bart
3
2015
Evaluating and approximating FIR filters: an approach based on functions of matrices. Zbl 1360.93706
Michiels, Wim; Ünal, Hakki Ulaş
1
2015
Computation of extremum singular values and the strong \(H_\infty\) norm of SISO time-delay systems. Zbl 1318.93037
Gumussoy, Suat; Michiels, Wim
1
2015
Stability, control, and computation of time-delay systems. An eigenvalue based approach. 2nd revised ed. Zbl 1305.93002
Michiels, Wim; Niculescu, Silviu-Iulian
65
2014
NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems. Zbl 1321.47128
Güttel, Stefan; van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
40
2014
An inverse iteration method for eigenvalue problems with eigenvector nonlinearities. Zbl 1307.65068
Jarlebring, Elias; Kvaal, Simen; Michiels, Wim
18
2014
Computing a partial Schur factorization of nonlinear eigenvalue problems using the infinite Arnoldi method. Zbl 1319.65040
Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim
14
2014
Networks of diffusively time-delay coupled systems: conditions for synchronization and its relation to the network topology. Zbl 1345.34126
Steur, Erik; Michiels, Wim; Huijberts, Henri; Nijmeijer, Henk
12
2014
Eigenvalue based algorithms and software for the design of fixed-order stabilizing controllers for interconnected systems with time-delays. Zbl 1275.93031
Michiels, Wim; Gumussoy, Suat
1
2014
A rational Krylov method based on Hermite interpolation for nonlinear eigenvalue problems. Zbl 1284.47041
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
24
2013
Model reduction of time-delay systems using position balancing and delay Lyapunov equations. Zbl 1272.93036
Jarlebring, Elias; Damm, Tobias; Michiels, Wim
16
2013
Prediction of partial synchronization in delay-coupled nonlinear oscillators, with application to Hindmarsh-Rose neurons. Zbl 1293.34098
Ünal, Hakkı Ulaş; Michiels, Wim
3
2013
Combining convex-concave decompositions and linearization approaches for solving BMIs, with application to static output feedback. Zbl 1369.90170
Tran Dinh, Quoc; Gumussoy, Suat; Michiels, Wim; Diehl, Moritz
43
2012
A linear eigenvalue algorithm for the nonlinear eigenvalue problem. Zbl 1256.65043
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl
32
2012
Reliably computing all characteristic roots of delay differential equations in a given right half plane using a spectral method. Zbl 1237.65065
Wu, Zhen; Michiels, Wim
31
2012
An iterative method for computing the pseudospectral abscissa for a class of nonlinear eigenvalue problems. Zbl 1251.35061
Michiels, Wim; Guglielmi, Nicola
3
2012
The infinite Arnoldi method and an application to time-delay systems with distributed delays. Zbl 1298.65194
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl
2
2012
Design of fixed-order stabilizing and \(\mathcal{H}_2\) - \(\mathcal{H}_\infty\) optimal controllers: an eigenvalue optimization approach. Zbl 1298.93166
Michiels, Wim
1
2012
Stability and stabilization of systems with time delay: limitations and opportunities. Zbl 1395.93271
Sipahi, Rifat; Niculescu, Silviu-Iulian; Abdallah, Chaouki T.; Michiels, Wim; Gu, Keqin
126
2011
Characterizing and computing the \(\mathcal H_2\) norm of time-delay systems by solving the delay Lyapunov equation. Zbl 1368.93094
Jarlebring, Elias; Vanbiervliet, Joris; Michiels, Wim
32
2011
Krylov-based model order reduction of time-delay systems. Zbl 1247.65086
Michiels, Wim; Jarlebring, Elias; Meerbergen, Karl
28
2011
Fixed-order H-infinity control for interconnected systems using delay differential algebraic equations. (Fixed-order \(H_{\infty}\) control for interconnected systems using delay differential algebraic equations.) Zbl 1234.93038
Gumussoy, Suat; Michiels, Wim
15
2011
Computing all pairs \((\lambda , \mu )\) such that \(\lambda \) is a double eigenvalue of \(A+\mu B\). Zbl 1245.65043
Jarlebring, Elias; Kvaal, Simen; Michiels, Wim
10
2011
Using spectral discretisation for the optimal \(\mathcal H_{2}\) design of time-delay systems. Zbl 1222.93177
Vanbiervliet, Joris; Michiels, Wim; Jarlebring, Elias
8
2011
Analyzing the convergence factor of residual inverse iteration. Zbl 1247.65070
Jarlebring, Elias; Michiels, Wim
7
2011
A Krylov method for the delay eigenvalue problem. Zbl 1226.65069
Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim
26
2010
Invariance properties in the root sensitivity of time-delay systems with double imaginary roots. Zbl 1191.93049
Jarlebring, Elias; Michiels, Wim
13
2010
Delay effects on output feedback control of dynamical systems. Zbl 1237.93077
Niculescu, Silviu-Iulian; Michiels, Wim; Gu, Keqin; Abdallah, Chaouki T.
6
2010
Synthesis of strongly stable state-derivative controllers for a time-delay system using constrained non-smooth optimization. Zbl 1206.93038
Vyhlídal, Tomáš; Michiels, Wim; McGahan, Paul
5
2010
A predictor-corrector type algorithm for the pseudospectral abscissa computation of time-delay systems. Zbl 1193.93105
Gumussoy, Suat; Michiels, Wim
5
2010
Characterization and computation of \({\mathcal H}_\infty\) norms for time-delay systems. Zbl 1202.93062
Michiels, Wim; Gumussoy, Suat
4
2010
Stability analysis of oscillatory systems subject to large delays: a synchronization point of view. Zbl 1269.93084
Michiels, Wim
3
2010
Consensus problems with distributed delays, with application to traffic flow models. Zbl 1182.93069
Michiels, Wim; Morărescu, Constantin-Irinel; Niculescu, Silviu-Iulian
38
2009
Synchronization of delay-coupled nonlinear oscillators: an approach based on the stability analysis of synchronized equilibria. Zbl 1317.34121
Michiels, Wim; Nijmeijer, Henk
19
2009
Strong stability of neutral equations with an arbitrary delay dependency structure. Zbl 1194.93190
Michiels, Wim; Vyhlídal, Tomáš; Zítek, Pavel; Nijmeijer, Henk; Henrion, Didier
18
2009
Stabilizability and stability robustness of state derivative feedback controllers. Zbl 1176.93064
Michiels, Wim; Vyhlídal, Tomáš; Huijberts, Henri; Nijmeijer, Henk
9
2009
Stability analysis of systems with stochastically varying delays. Zbl 1181.93088
Verriest, Erik I.; Michiels, Wim
7
2009
The smoothed spectral abscissa for robust stability optimization. Zbl 1185.93110
Vanbiervliet, Joris; Vandereycken, Bart; Michiels, Wim; Vandewalle, Stefan; Diehl, Moritz
7
2009
Robustness assessment via stability radii in delay parameters. Zbl 1298.93266
Michiels, Wim; Fridman, Emilia; Niculescu, Silviu-Iulian
7
2009
Stabilizability via time-delayed feedback: an eigenvalue optimization approach. Zbl 1159.93023
Huijberts, Henri; Michiels, Wim; Nijmeijer, Henk
5
2009
A nonsmooth optimisation approach for the stabilisation of time-delay systems. Zbl 1146.65056
Vanbiervliet, Joris; Verheyden, Koen; Michiels, Wim; Vandewalle, Stefan
19
2008
Structured pseudospectra for nonlinear eigenvalue problems. Zbl 1149.65063
Wagenknecht, T.; Michiels, W.; Green, K.
5
2008
Stability and stabilization of time-delay systems. An eigenvalue based approach. Zbl 1140.93026
Michiels, Wim; Niculescu, Silviu-Iulian
133
2007
Characterization of delay-independent stability and delay interference phenomena. Zbl 1134.34050
Michiels, Wim; Niculescu, Silviu-Iulian
6
2007
Mathematical and computational tools for the stability analysis of time-varying delay systems and applications in mechanical engineering. Zbl 1246.93057
Michiels, Wim; Verheyden, Koen; Niculescu, Silviu-Iulian
3
2007
Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems. Zbl 1108.15010
Michiels, Wim; Green, Kirk; Wagenknecht, Thomas; Niculescu, Silviu-Iulian
16
2006
Stability analysis of some classes of TCP/AQM networks. Zbl 1125.93445
Michiels, W.; Melchor-Aguilar, D.; Niculescu, S.-I.
7
2006
Inverse routh table construction and stability of delay equations. Zbl 1100.93040
Verriest, Erik I.; Michiels, Wim
3
2006
Static output feedback stabilization: necessary conditions for multiple delay controllers. Zbl 1365.93448
Kharitonov, Vladimir L.; Niculescu, Silviu-Iulian; Moreno, Jaime; Michiels, Wim
39
2005
Stabilization of time-delay systems with a controlled time-varying delay and applications. Zbl 1365.93411
Michiels, Wim; Van Assche, Vincent; Niculescu, Silviu-Iulian
37
2005
An eigenvalue based approach for the stabilization of linear time-delay systems of neutral type. Zbl 1091.93026
Michiels, Wim; Vyhlídal, Tomáš
36
2005
Stability analysis of a fluid flow model for TCP like behavior. Zbl 1092.93580
Michiels, Wim; Niculescu, Silviu-Iulian
6
2005
Stabilizing a chain of integrators using multiple delays. Zbl 1365.93412
Niculescu, Silviu-Iulian; Michiels, Wim
44
2004
...and 10 more Documents
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Cited by 1,416 Authors

67 Michiels, Wim
39 Niculescu, Silviu-Iulian
26 Krstić, Miroslav
24 Jarlebring, Elias
21 Mondié, Sabine
21 Zhou, Bin
16 Fridman, Emilia
15 Boussaada, Islam
12 Meerbergen, Karl
11 Breda, Dimitri
10 Chen, Jie
10 Egorov, Alexey V.
10 Gomez, Marco A.
10 Mazenc, Frédéric
10 Nijmeijer, Henk
10 Seuret, Alexandre
10 Steur, Erik
10 Vyhlídal, Tomáš
9 Dopico, Froilán M.
9 Jiang, Yaolin
9 Kharitonov, Vladimir Leonidovich
9 Sipahi, Rifat
8 Bai, Zhaojun
8 Lu, Ding
7 Aleksandrova, Irina Vladimirovna
7 Insperger, Tamás
7 Li, Xuguang
7 Lin, Zongli
7 Melchor-Aguilar, Daniel
7 Ramírez, Adrian
7 Trinh, Hieu Minh
7 van de Wouw, Nathan
7 Vermiglio, Rossana
6 Cacace, Filippo
6 Choi, Ho-Lim
6 Feng, Gang
6 Germani, Alfredo
6 Gouaisbaut, Frédéric
6 Güttel, Stefan
6 Henning, Patrick
6 Kressner, Daniel
6 Le Van Hien
6 Liu, Lu
6 Malisoff, Michael
6 Matveeva, Inessa Izotovna
6 Pérez, Javier J.
6 Perruquetti, Wilfrid
6 Richard, Jean-Pierre
6 Velasco-Villa, Martín
6 Villafuerte-Segura, Raúl
6 Xu, Xiang
5 Bekiaris-Liberis, Nikolaos
5 Bresch-Pietri, Delphine
5 Cela, Arben
5 Dehghani, Maryam
5 Ding, Dawei
5 Efimov, Denis V.
5 Gumussoy, Suat
5 Iftar, Altuǧ
5 Liu, Qingsong
5 Marcaida, Silvia
5 Mazanti, Guilherme
5 Mele, Giampaolo
5 Morărescu, Irinel-Constantin
5 Pepe, Pierdomenico
5 Quintana, María C.
5 Román, Jose E.
5 Szyld, Daniel B.
5 Van Dooren, Paul M.
5 Xiao, Jinyou
5 Yang, Xuefei
5 Zhabko, Alexey P.
5 Zhang, Huaguang
4 Appeltans, Pieter
4 Assunção, Edvaldo
4 Auriol, Jean
4 Besselink, Bart
4 Briat, Corentin
4 Chaillet, Antoine
4 Corless, Robert Malcolm
4 Del-Muro-Cuellar, Basilio
4 Di Meglio, Florent
4 Diekmann, Odo
4 Engström, Christian
4 Garcia, Pedro
4 Green, Kirk
4 Gu, Keqin
4 Gündeş, A. Nazli
4 Hetel, Laurentiu
4 Jiang, Huaiyuan
4 Kwon, Ohmin
4 Lam, James
4 Léchappé, Vincent
4 Liessi, Davide
4 Lin, Wei
4 Méndez-Barrios, César-Fernando
4 Mengi, Emre
4 Milton, John G.
4 Moulay, Emmanuel
4 Olgac, Nejat M.
...and 1,316 more Authors
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Cited in 158 Serials

150 Automatica
60 International Journal of Robust and Nonlinear Control
55 Systems & Control Letters
54 International Journal of Control
52 Journal of the Franklin Institute
30 Linear Algebra and its Applications
29 SIAM Journal on Matrix Analysis and Applications
22 International Journal of Systems Science. Principles and Applications of Systems and Integration
20 SIAM Journal on Control and Optimization
18 Chaos
17 Applied Mathematics and Computation
17 SIAM Journal on Scientific Computing
17 European Journal of Control
15 Mathematical Problems in Engineering
13 Nonlinear Dynamics
11 Journal of Computational and Applied Mathematics
9 Numerical Algorithms
8 Numerische Mathematik
8 MCSS. Mathematics of Control, Signals, and Systems
7 Automation and Remote Control
7 Communications in Nonlinear Science and Numerical Simulation
7 Nonlinear Analysis. Hybrid Systems
6 International Journal of Systems Science
6 BIT
6 Optimal Control Applications & Methods
6 Applied Mathematics Letters
6 Differential Equations
5 Biological Cybernetics
5 Journal of Computational Physics
5 Journal of Optimization Theory and Applications
5 Journal of Scientific Computing
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Numerical Linear Algebra with Applications
5 Journal of Vibration and Control
5 SIAM Journal on Applied Dynamical Systems
4 Chaos, Solitons and Fractals
4 International Journal for Numerical Methods in Engineering
4 Kybernetika
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Computer Methods in Applied Mechanics and Engineering
3 Calcolo
3 Information Sciences
3 Siberian Mathematical Journal
3 Physica D
3 International Journal of Adaptive Control and Signal Processing
3 SIAM Review
3 Journal of Dynamics and Differential Equations
3 ETNA. Electronic Transactions on Numerical Analysis
3 Complexity
3 Engineering Analysis with Boundary Elements
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Applied Mathematics
2 Linear and Multilinear Algebra
2 Nonlinearity
2 Physica A
2 Mathematics and Computers in Simulation
2 SIAM Journal on Numerical Analysis
2 Applied Numerical Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Discrete and Continuous Dynamical Systems
2 ELA. The Electronic Journal of Linear Algebra
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 International Journal of Applied Mathematics and Computer Science
2 Journal of Systems Science and Complexity
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Advances in Difference Equations
2 Networks and Heterogeneous Media
2 Axioms
2 Journal of Computational Dynamics
1 Acta Mechanica
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 International Journal of Theoretical Physics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Physics Letters. A
1 Physics Reports
1 Reports on Mathematical Physics
1 Bulletin of Mathematical Biology
1 ACM Transactions on Mathematical Software
1 Fuzzy Sets and Systems
1 Journal of Differential Equations
1 Meccanica
1 Numerical Functional Analysis and Optimization
1 Ricerche di Matematica
1 Studies in Applied Mathematics
1 Theoretical Computer Science
1 Circuits, Systems, and Signal Processing
1 Acta Applicandae Mathematicae
1 Information and Computation
1 Computational Mechanics
1 Mathematical and Computer Modelling
1 Multidimensional Systems and Signal Processing
1 Neural Computation
1 Japan Journal of Industrial and Applied Mathematics
1 Applied Mathematical Modelling
1 Communications in Statistics. Theory and Methods
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Cited in 36 Fields

655 Systems theory; control (93-XX)
186 Numerical analysis (65-XX)
177 Ordinary differential equations (34-XX)
73 Linear and multilinear algebra; matrix theory (15-XX)
50 Partial differential equations (35-XX)
41 Operations research, mathematical programming (90-XX)
34 Biology and other natural sciences (92-XX)
27 Mechanics of particles and systems (70-XX)
26 Dynamical systems and ergodic theory (37-XX)
20 Operator theory (47-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
18 Computer science (68-XX)
12 Difference and functional equations (39-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Special functions (33-XX)
10 Probability theory and stochastic processes (60-XX)
10 Optics, electromagnetic theory (78-XX)
9 Approximations and expansions (41-XX)
9 Mechanics of deformable solids (74-XX)
8 Functions of a complex variable (30-XX)
8 Integral equations (45-XX)
8 Quantum theory (81-XX)
8 Information and communication theory, circuits (94-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Real functions (26-XX)
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3 Fluid mechanics (76-XX)
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