Edit Profile (opens in new tab) Michiels, Wim Co-Author Distance Author ID: michiels.wim Published as: Michiels, Wim; Michiels, W. External Links: MGP Documents Indexed: 133 Publications since 2001, including 2 Books and 6 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 101 Co-Authors with 129 Joint Publications 2,737 Co-Co-Authors 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 all top 5 Serials 16 IEEE Transactions on Automatic Control 12 Automatica 10 SIAM Journal on Matrix Analysis and Applications 9 SIAM Journal on Control and Optimization 8 Systems & Control Letters 6 International Journal of Control 6 International Journal of Robust and Nonlinear Control 5 SIAM Journal on Scientific Computing 4 Journal of Computational and Applied Mathematics 4 IMA Journal of Mathematical Control and Information 3 Numerical Linear Algebra with Applications 3 Chaos 2 IMA Journal of Numerical Analysis 2 Journal of the Franklin Institute 2 MCSS. Mathematics of Control, Signals, and Systems 2 Linear Algebra and its Applications 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 European Journal of Control 2 SIAM Journal on Applied Dynamical Systems 2 Advances in Design and Control 1 International Journal of Systems Science 1 Nonlinearity 1 BIT 1 Numerische Mathematik 1 Physica D 1 Numerical Algorithms 1 SIAM Journal on Optimization 1 Journal of Vibration and Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Advances in Delays and Dynamics 1 IEEE Control Systems all top 5 Fields 91 Systems theory; control (93-XX) 34 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Operations research, mathematical programming (90-XX) 6 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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. 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