## Byrnes, Christopher Ian

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 Author ID: byrnes.christopher-ian Published as: Byrnes, Christopher I.; Byrnes, C. I.; Byrnes, Christopher; Byrnes, C.; Byrnes, Christopher Ian; Byrnes, Christopher I; Byrnes, Chris I.; Byrnes, Ch. I. more...less External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 153 Publications since 1974, including 1 Book 13 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 57 Co-Authors with 139 Joint Publications 1,867 Co-Co-Authors
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### Co-Authors

 27 single-authored 34 Lindquist, Anders Gunnar 32 Isidori, Alberto 24 Gilliam, David S. 15 Shubov, Viktor Isaakovich 11 Martin, Clyde Franklin 9 Lin, Wei 5 Willems, Jan Camiel 4 Baillieul, John B. 4 Crouch, Peter E. 4 Georgiou, Tryphon T. 3 Gauger, Michael A. 3 Gusev, Sergeĭ Valentinovich 3 Hu, Xiaoming 2 Anderson, Brian David Outram 2 Enqvist, Per 2 Frankowska, Hélène 2 Ghosh, Bijoy Kumar 2 He, Jianqiu 2 Kang, Wei 2 Kokotovic, Petar V. 2 Kurzhanskiĭ, Aleksandr Borisovich 2 Laukó, István G. 2 Marconi, Lorenzo 2 Saeks, Richard E. 2 Sastry, S. Shankar 2 Stevens, Peter K. 2 Wang, Xiaochang 2 Zhou, Yishao 1 Ackermann, Juergen E. 1 Åström, Karl Johan 1 Aubin, Jean-Pierre 1 Balchen, Jens Glad 1 Barmish, B. Ross 1 Bensoussan, Alain 1 Blondel, Vincent D. 1 Brockett, Roger Ware 1 Caines, Peter Edwin 1 Celani, Fabio 1 Datta, Biswa N. 1 Davis, Mark Herbert Ainsworth 1 Davison, Edward Joseph 1 Delli Priscoli, Francesco 1 Doll, Kenneth A. 1 Duncan, Tyrone E. 1 Falb, Peter L. 1 Fanizza, Giovanna 1 Fliess, Michel 1 Gevers, Michel R. 1 Goodwin, Graham Clifford 1 Hazewinkel, Michiel 1 Helmke, Uwe R. 1 Helton, John William 1 Ikeda, Yutaka 1 Jhemi, Ali 1 Kimura, Hidenori 1 Krener, Arthur James 1 Kučera, Vladimir V. 1 Landau, Henry Jacob 1 Laub, Alan J. 1 Ljung, Lennart 1 Matveev, Aleksei S. 1 McFarlane, A. J. G. 1 McGregor, T. 1 McMahon, Douglas C. 1 Megretski, Alexandre 1 Picci, Giorgio 1 Poznyak, Aleksandr Semënovich 1 Rantzer, Anders 1 Rouchaleau, Yves 1 Serrani, Andrea 1 Skelton, Robert E. 1 Spong, Mark W. 1 Tarn, Tzyh-Jong 1 Tsypkin, Yakov Zalmanovich 1 Vaidyanathan, Sundarapandian 1 Varaiya, Pravin Pratap 1 Vidyasagar, Mathukumalli 1 Washburn, Robert B. jun. 1 Weiss, George 1 Wonham, W. Murray 1 Wyman, Bostwick F. 1 Wyman, Myra F. 1 Xu, Zaichao
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### Serials

 16 IEEE Transactions on Automatic Control 12 Systems & Control Letters 7 SIAM Journal on Control and Optimization 7 International Journal of Robust and Nonlinear Control 6 International Journal of Control 5 Automatica 4 Journal of Mathematical Systems, Estimation, and Control 3 Mathematical Systems Theory 3 Comptes Rendus de l’Académie des Sciences. Série I 2 American Journal of Mathematics 2 Mathematical and Computer Modelling 2 IEEE Transactions on Signal Processing 2 Journal of Dynamical and Control Systems 2 Bulletin of the American Mathematical Society 2 Lecture Notes in Control and Information Sciences 1 American Mathematical Monthly 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Advances in Mathematics 1 IEEE Transactions on Circuits and Systems 1 Integral Equations and Operator Theory 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 IMA Journal of Mathematical Control and Information 1 SIAM Journal on Matrix Analysis and Applications 1 IEEE Transactions on Systems, Man, and Cybernetics 1 Linear Algebra and its Applications 1 SIAM Review 1 Notices of the American Mathematical Society 1 European Journal of Control 1 Communications in Information and Systems 1 Lecture Notes in Pure and Applied Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Systems & Control: Foundations & Applications
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### Fields

 144 Systems theory; control (93-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Algebraic geometry (14-XX) 15 Partial differential equations (35-XX) 13 General and overarching topics; collections (00-XX) 13 Functions of a complex variable (30-XX) 11 Ordinary differential equations (34-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Manifolds and cell complexes (57-XX) 6 Operations research, mathematical programming (90-XX) 5 Topological groups, Lie groups (22-XX) 4 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Numerical analysis (65-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

127 Publications have been cited 2,018 times in 1,433 Documents Cited by Year
Output regulation of nonlinear systems. Zbl 0704.93034
Isidori, Alberto; Byrnes, Christopher I.
1990
Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems. Zbl 0758.93007
Byrnes, Christopher I.; Isidori, Alberto; Willems, Jan C.
1991
Asymptotic properties of nonlinear minimum phase systems. Zbl 0714.93021
Byrnes, C.; Isidori, A.
1989
Asymptotic stabilization of minimum phase nonlinear systems. Zbl 0758.93060
Byrnes, Christopher I.; Isidori, Alberto
1991
Structurally stable output regulation of nonlinear systems. Zbl 0873.93043
Byrnes, C. I.; Delli Priscoli, F.; Isidori, Alberto; Kang, W.
1997
New results and examples in nonlinear feedback stabilization. Zbl 0684.93059
Byrnes, Christopher I.; Isidori, Alberto
1989
Multivariable Nyquist criteria, root loci, and pole placement: A geometric viewpoint. Zbl 0462.93026
Brockett, Roger W.; Byrnes, Christopher I.
1981
Output regulation for linear distributed parameter systems. Zbl 1056.93552
Byrnes, Christopher I.; Laukó, István G.; Gilliam, David S.; Shubov, Victor I.
2000
Losslessness, feedback equivalence, and the global stabilization of discrete-time nonlinear systems. Zbl 0807.93037
Byrnes, Christopher I.; Lin, Wei
1994
Global adaptive stabilization in the absence of information on the sign of the high frequency gain. Zbl 0549.93043
Willems, J. C.; Byrnes, C. I.
1984
Nonlinear internal models for output regulation. Zbl 1365.93388
Byrnes, C. I.; Isidori, A.
2004
Local stabilization of minimum-phase nonlinear systems. Zbl 0649.93030
Byrnes, Christopher I; Isidori, Alberto
1988
On the attitude stabilization of rigid spacecraft. Zbl 0733.93051
Byrnes, Christopher I.; Isidori, Alberto
1991
Passivity and absolute stabilization of a class of discrete-time nonlinear systems. Zbl 0826.93060
Lin, Wei; Byrnes, Christopher I.
1995
$$H_ \infty$$-control of discrete-time nonlinear systems. Zbl 0857.93035
Lin, Wei; Byrnes, Christopher I.
1996
A generalized entropy criterion for Nevanlinna-Pick interpolation with degree constraint. Zbl 1007.93013
Byrnes, Christopher I.; Georgiou, Tryphon T.; Lindquist, Anders
2001
Output regulation for nonlinear systems: An overview. Zbl 0962.93007
Byrnes, C. I.; Isidori, A.
2000
Limit sets, zero dynamics, and internal models in the problem of nonlinear output regulation. Zbl 1364.93329
Byrnes, Christopher I.; Isidori, Alberto
2003
Pole assignment by output feedback. Zbl 0701.93047
Byrnes, C. I.
1989
Regular linear systems governed by a boundary controlled heat equation. Zbl 1010.93052
Byrnes, C. I.; Gilliam, D. S.; Shubov, V. I.; Weiss, G.
2002
Design of discrete-time nonlinear control systems via smooth feedback. Zbl 0825.93424
Lin, Wei; Byrnes, Christopher I.
1994
Remarks on linearization of discrete-time autonomous systems and nonlinear observer design. Zbl 0877.93022
Lin, Wei; Byrnes, Christopher I.
1995
A complete parameterization of all positive rational extensions of a covariance sequence. Zbl 0847.93008
Byrnes, Christopher I.; Lindquist, Anders; Gusev, Sergei V.; Matveev, Alexei S.
1995
Survey on the state of systems and control. Zbl 1177.93001
Blondel, Vincent; Gevers, Michel; Lindquist, Anders
1995
A convex optimization approach to the rational covariance extension problem. Zbl 0947.30027
Byrnes, Christopher I.; Gusev, Sergei V.; Lindquist, Anders
1999
A new approach to spectral estimation: A tunable high-resolution spectral estimator. Zbl 1040.93063
Byrnes, Christopher I.; Georgiou, Tryphon T.; Lindquist, Anders
2000
Output regulation of uncertain nonlinear systems. Zbl 0876.93003
Byrnes, Christopher I.; Delli Priscoli, Francesco; Isidori, Alberto
1997
On the global dynamics of a controlled viscous Burgers’ equation. Zbl 0943.35080
Byrnes, Ch. I.; Gilliam, D. S.; Shubov, V. I.
1998
An integral-invariance principle for nonlinear systems. Zbl 0831.93058
Byrnes, Christopher I.; Martin, Clyde F.
1995
Output feedback and generic stabilizability. Zbl 0557.93047
Byrnes, C. I.; Anderson, B. D. O.
1984
Discrete-time nonlinear $$H_ \infty$$ control with measurement feedback. Zbl 0821.93034
Lin, Wei; Byrnes, Christopher I.
1995
KYP lemma, state feedback and dynamic output feedback in discrete-time bilinear systems. Zbl 0820.93056
Lin, W.; Byrnes, C. I.
1994
Geometric critical point analysis of lossless power system models. Zbl 0523.93046
Baillieul, John; Byrnes, Christopher I.
1982
On the control of certain deterministic, infinite-dimensional systems by algebro-geometric techniques. Zbl 0406.93017
Byrnes, Christopher I.
1978
A several complex variables approach to feedback stabilization of linear neutral delay-differential systems. Zbl 0539.93064
Byrnes, Christopher I.; Spong, Mark W.; Tarn, Tzyhjong
1984
The stability and instability of partial realizations. Zbl 0494.93009
Byrnes, Christopher I.; Lindquist, Anders
1982
Decidability criteria for the similarity problem, with applications to the moduli of linear dynamical systems. Zbl 0364.15006
Byrnes, Christopher I.; Gauger, Michael A.
1977
Root-locus and boundary feedback design for a class of distributed parameter systems. Zbl 0819.93035
Byrnes, Christopher I.; Gilliam, David S.; He, Jianqiu
1994
Stabilization of discrete-time nonlinear systems by smooth state feedback. Zbl 0784.93089
Byrnes, Christopher I.; Lin, Wei; Ghosh, Bijoy K.
1993
Characteristic free, improved decidability criteria for the similarity problem. Zbl 0364.15007
Gauger, Michael A.; Byrnes, Christopher I.
1977
From finite covariance windows to modeling filters: a convex optimization approach. Zbl 1152.93506
Byrnes, Christopher I.; Gusev, Sergei V.; Lindquist, Anders
2001
Simultaneous stabilization and simultaneous pole-placement by nonswitching dynamic compensation. Zbl 0543.93053
Ghosh, Bijoy K.; Byrnes, Christopher I.
1983
On a theorem of Hermite and Hurwitz. Zbl 0544.15010
Byrnes, Christopher I.
1983
On the partial stochastic realization problem. Zbl 0885.93012
Byrnes, Christopher I.; Lindquist, Anders
1997
Generalized interpolation in $$H^\infty$$ with a complexity constraint. Zbl 1077.47015
Byrnes, Christopher I.; Georgiou, Tryphon T.; Lindquist, Anders; Megretski, Alexander
2006
Identifiability and well-posedness of shaping-filter parameterizations: a global analysis approach. Zbl 1094.93006
Byrnes, Christopher I.; Enqvist, Per; Lindquist, Anders
2002
Singularly perturbed zero dynamics of nonlinear systems. Zbl 0770.93050
Isidori, A.; Sastry, S. S.; Kokotović, P. V.; Byrnes, C. I.
1992
Applications of algebraic geometry in system theory. Zbl 0436.93013
Byrnes, Christopher I.; Falb, Peter L.
1979
On Brockett’s necessary condition for stabilizability and the topology of Liapunov functions on $$\mathbb R^n$$. (On Brockett’s necessary condition for stabilizability and the topology of Lyapunov functions on $$\mathbb R^n$$.) Zbl 1217.93139
Byrnes, Christopher I.
2008
Cepstral coefficients, covariance lags, and pole-zero models for finite data strings. Zbl 1369.94103
Byrnes, Christopher I.; Enqvist, Per; Lindquist, Anders
2001
Observability of minimal, distal systems. Zbl 0604.58045
Byrnes, Christopher I.; Crouch, Peter E.
1986
The generalized moment problem with complexity constraint. Zbl 1181.30020
Byrnes, Christopher I.; Lindquist, Anders
2006
The additive inverse eigenvalue problem for Lie perturbations. Zbl 0774.15006
Byrnes, Christopher I.; Wang, Xiaochang
1993
The McMillan and Newton polygons of a feedback system and the construction of root loci. Zbl 0479.93021
Byrnes, C. I.; Stevens, P. K.
1982
On certain topological invariants arising in system theory. Zbl 0483.93049
Byrnes, Christopher I.; Duncan, Tyrone E.
1982
Zero dynamics modeling and boundary feedback design for parabolic systems. Zbl 1141.93033
Byrnes, C. I.; Gilliam, D. S.; Isidori, A.; Shubov, V. I.
2006
On the duality between filtering and Nevanlinna-Pick interpolation. Zbl 1049.93080
Byrnes, Christopher I.; Lindquist, Anders
2000
Geometric methods for the classification of linear feedback systems. Zbl 0576.93016
Byrnes, Christopher I.; Crouch, Peter E.
1985
Omega-limit sets of a class of nonlinear systems that are semiglobally practically stabilized. Zbl 1073.93045
Byrnes, Christopher I.; Celani, Fabio; Isidori, Alberto
2005
Topological methods for nonlinear oscillations. Zbl 1203.37033
Byrnes, Christopher I.
2010
Asymptotic tracking and disturbance rejection in nonlinear systems. Zbl 0736.93033
Isidori, A.; Byrnes, C. I.
1991
Zero dynamics boundary control for regulation of the Kuramoto-Sivashinsky equation. Zbl 1202.93061
Byrnes, C. I.; Gilliam, D. S.; Hu, C.; Shubov, V. I.
2010
Important moments in systems and control. Zbl 1176.30087
Byrnes, Christopher I.; Lindquist, Anders
2008
Stabilizability of multivariable systems and the Ljusternik-Snirel’mann category of real Grassmannians. Zbl 0554.93055
Byrnes, Christopher I.
1983
Least-squares estimation, linear programming, and momentum: A geometric parametrization of local minima. Zbl 0633.49019
Byrnes, Christopher I.; Willems, Jan C.
1986
Local accessibility, local reachability, and representations of compact groups. Zbl 0664.93006
Crouch, P. E.; Byrnes, C. I.
1986
Symmetries and local controllability. Zbl 0607.93010
Crouch, P. E.; Byrnes, C. I.
1986
Predictability and unpredictability in Kalman filtering. Zbl 0738.93071
Byrnes, C. I.; Lindquist, A.; McGregor, T.
1991
Boundary feedback stabilization of distributed parameter systems. Zbl 0743.93081
Byrnes, C. I.; Gilliam, D. S.
1990
A convex optimization approach to generalized moment problems. Zbl 1073.93513
Byrnes, Christopher I.; Lindquist, Anders
2003
Boundary control, stabilization and zero-pole dynamics for a nonlinear distributed parameter system. Zbl 0949.93038
Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I.
1999
Persistence of equilibria for locally asymptotically stable systems. Zbl 0973.93041
Byrnes, Christopher I.; Sundarapandian, Vaidyanathan
2001
Boundary control for a viscous Burgers’ equation. Zbl 0795.93058
Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I.
1993
Asymptotic expansions, root-loci and the global stability of nonlinear feedback systems. Zbl 0606.93039
Byrnes, Christopher I.; Isidori, Alberto
1986
The zero dynamics algorithm for general nonlinear systems and its application in exact output tracking. Zbl 0770.93048
Byrnes, Christopher I.; Hu, Xiaoming
1993
On root loci in several variables: continuity in the high gain limit. Zbl 0484.93044
Byrnes, Christopher I.
1981
Feedback design from the zero dynamics point of view. Zbl 0703.93057
Byrnes, Christopher I.; Isidori, Alberto
1989
The moduli space for linear dynamical systems. Zbl 0367.93014
Byrnes, Christopher I.
1977
On the well-posedness of the rational covariance extension problem. Zbl 0932.93015
Byrnes, Christopher I.; Landau, Henry J.; Lindquist, Anders
1997
Asymptotic regulation for distributed parameter systems via zero dynamics inverse design. Zbl 1273.93142
Byrnes, C. I.; Gilliam, D. S.; Hu, C.; Shubov, V. I.
2013
The moment problem for rational measures: convexity in the spirit of Krein. Zbl 1196.30028
Byrnes, Christopher I.; Lindquist, Anders
2009
Global observability and detectability: An overview. Zbl 0850.93127
Byrnes, C. I.; Martin, C. F.
1988
The uncertain generalized moment problem with complexity constraint. Zbl 1203.30038
Byrnes, Christopher I.; Lindquist, Anders
2003
Recent advances in output regulation of nonlinear systems. Zbl 0989.93041
Serrani, Andrea; Isidori, Alberto; Byrnes, Christopher I.; Marconi, Lorenzo
2001
Harmonic forcing for linear distributed parameter systems. Zbl 0906.93028
Byrnes, C. I.; Gilliam, D. S.; Laukó, I. G.; Shubov, V. I.
1998
On the nonlinear dynamics of fast filtering algorithms. Zbl 0825.93906
Byrnes, Christopher I.; Lindquist, Anders; Zhou, Yishao
1994
Geometry of the Kimura-Georgiou parametrization of modelling filters. Zbl 0694.93101
Byrnes, Christopher I.; Lindquist, Anders
1989
Cascade equivalence of linear systems. Zbl 0615.93020
Byrnes, Christopher I.; Helton, J. William
1986
Unicité des solutions optimales et absence de chocs pour les équations d’Hamilton-Jacobi-Bellman et de Riccati. (Uniqueness of optimal solutions and the nonexistence of shocks for Hamilton-Jacobi- Bellman and Riccati PDE). Zbl 0777.49021
Byrnes, Christopher; Frankowska, Hélène
1992
Shock waves for Riccati partial differential equations arising in nonlinear optimal control. Zbl 0770.35007
Byrnes, Christopher I.; Jhemi, Ali
1992
Zero-state observability and stability of discrete-time nonlinear systems. Zbl 0826.93008
Lin, Wei; Byrnes, Christopher I.
1995
On certain problems of arithmetic arising in the realization of linear systems with symmetries. Zbl 0458.93015
Byrnes, Christopher I.
1980
Algebraic and geometric aspects of the analysis of feedback systems. Zbl 0479.93048
Byrnes, Christopher I.
1980
Introduction to geometrical methods for the theory of linear systems. Zbl 0489.93001
Byrnes, C.; Hazewinkel, M.; Martin, C.; Rouchaleau, Y.
1980
The singularity theory of the load flow equations for a 3-node electrical power system. Zbl 0506.90024
Baillieul, J.; Byrnes, C. I.
1983
The analysis of singularly perturbed zero dynamics. Zbl 0711.93060
Isidori, A.; Kokotovic, P. V.; Sastry, S. S.; Byrnes, C. I.
1990
Viability kernels, controlled invariance and zero dynamics for nonlinear systems. Zbl 0713.93026
Aubin, Jean Pierre; Byrnes, Christopher I.; Isidori, Alberto
1990
Uniqueness of optimal trajectories and the nonexistence of shocks for Hamilton-Jacobi-Bellman and Riccati partial differential equations. Zbl 1092.35502
Byrnes, Christopher I.; Frankowska, Hélène
1998
Algebraic transformation groups and the similarity problem. Zbl 0393.15009
Gauger, Michael A.; Byrnes, Christopher I.
1978
Interior point solutions of variational problems and global inverse function theorems. Zbl 1116.49015
Byrnes, Christopher I.; Lindquist, Anders
2007
Asymptotic regulation for distributed parameter systems via zero dynamics inverse design. Zbl 1273.93142
Byrnes, C. I.; Gilliam, D. S.; Hu, C.; Shubov, V. I.
2013
Topological methods for nonlinear oscillations. Zbl 1203.37033
Byrnes, Christopher I.
2010
Zero dynamics boundary control for regulation of the Kuramoto-Sivashinsky equation. Zbl 1202.93061
Byrnes, C. I.; Gilliam, D. S.; Hu, C.; Shubov, V. I.
2010
The moment problem for rational measures: convexity in the spirit of Krein. Zbl 1196.30028
Byrnes, Christopher I.; Lindquist, Anders
2009
On Brockett’s necessary condition for stabilizability and the topology of Liapunov functions on $$\mathbb R^n$$. (On Brockett’s necessary condition for stabilizability and the topology of Lyapunov functions on $$\mathbb R^n$$.) Zbl 1217.93139
Byrnes, Christopher I.
2008
Important moments in systems and control. Zbl 1176.30087
Byrnes, Christopher I.; Lindquist, Anders
2008
Interior point solutions of variational problems and global inverse function theorems. Zbl 1116.49015
Byrnes, Christopher I.; Lindquist, Anders
2007
Differential forms and dynamical systems. Zbl 1137.37009
Byrnes, Christopher I.
2007
Generalized interpolation in $$H^\infty$$ with a complexity constraint. Zbl 1077.47015
Byrnes, Christopher I.; Georgiou, Tryphon T.; Lindquist, Anders; Megretski, Alexander
2006
The generalized moment problem with complexity constraint. Zbl 1181.30020
Byrnes, Christopher I.; Lindquist, Anders
2006
Zero dynamics modeling and boundary feedback design for parabolic systems. Zbl 1141.93033
Byrnes, C. I.; Gilliam, D. S.; Isidori, A.; Shubov, V. I.
2006
Omega-limit sets of a class of nonlinear systems that are semiglobally practically stabilized. Zbl 1073.93045
Byrnes, Christopher I.; Celani, Fabio; Isidori, Alberto
2005
A homotopy continuation solution of the covariance extension equation. Zbl 1203.93067
Byrnes, Christopher I.; Fanizza, Giovanna; Lindquist, Anders
2005
Set-point boundary control for a viscous Burgers equation. Zbl 1203.93103
Byrnes, C. I.; Gilliam, D. S.; Isidori, A.; Shubov, V. I.
2005
Nonlinear internal models for output regulation. Zbl 1365.93388
Byrnes, C. I.; Isidori, A.
2004
Limit sets, zero dynamics, and internal models in the problem of nonlinear output regulation. Zbl 1364.93329
Byrnes, Christopher I.; Isidori, Alberto
2003
A convex optimization approach to generalized moment problems. Zbl 1073.93513
Byrnes, Christopher I.; Lindquist, Anders
2003
The uncertain generalized moment problem with complexity constraint. Zbl 1203.30038
Byrnes, Christopher I.; Lindquist, Anders
2003
On the steady-state behavior of forced nonlinear systems. Zbl 1203.93095
Byrnes, C. I.; Gilliam, D. S.; Isidori, A.; Ramsey, J.
2003
Internal model based design for the suppression of harmonic disturbances. Zbl 1088.93531
Byrnes, Christopher I.; Gilliam, David S.; Isidori, Alberto; Ikeda, Yutaka; Marconi, Lorenzo
2003
Regular linear systems governed by a boundary controlled heat equation. Zbl 1010.93052
Byrnes, C. I.; Gilliam, D. S.; Shubov, V. I.; Weiss, G.
2002
Identifiability and well-posedness of shaping-filter parameterizations: a global analysis approach. Zbl 1094.93006
Byrnes, Christopher I.; Enqvist, Per; Lindquist, Anders
2002
A generalized entropy criterion for Nevanlinna-Pick interpolation with degree constraint. Zbl 1007.93013
Byrnes, Christopher I.; Georgiou, Tryphon T.; Lindquist, Anders
2001
From finite covariance windows to modeling filters: a convex optimization approach. Zbl 1152.93506
Byrnes, Christopher I.; Gusev, Sergei V.; Lindquist, Anders
2001
Cepstral coefficients, covariance lags, and pole-zero models for finite data strings. Zbl 1369.94103
Byrnes, Christopher I.; Enqvist, Per; Lindquist, Anders
2001
Persistence of equilibria for locally asymptotically stable systems. Zbl 0973.93041
Byrnes, Christopher I.; Sundarapandian, Vaidyanathan
2001
Recent advances in output regulation of nonlinear systems. Zbl 0989.93041
Serrani, Andrea; Isidori, Alberto; Byrnes, Christopher I.; Marconi, Lorenzo
2001
Toward a nonequilibrium theory for nonlinear control systems. Zbl 1239.93047
Byrnes, Christopher I.
2001
Output regulation for linear distributed parameter systems. Zbl 1056.93552
Byrnes, Christopher I.; Laukó, István G.; Gilliam, David S.; Shubov, Victor I.
2000
Output regulation for nonlinear systems: An overview. Zbl 0962.93007
Byrnes, C. I.; Isidori, A.
2000
A new approach to spectral estimation: A tunable high-resolution spectral estimator. Zbl 1040.93063
Byrnes, Christopher I.; Georgiou, Tryphon T.; Lindquist, Anders
2000
On the duality between filtering and Nevanlinna-Pick interpolation. Zbl 1049.93080
Byrnes, Christopher I.; Lindquist, Anders
2000
A convex optimization approach to the rational covariance extension problem. Zbl 0947.30027
Byrnes, Christopher I.; Gusev, Sergei V.; Lindquist, Anders
1999
Boundary control, stabilization and zero-pole dynamics for a nonlinear distributed parameter system. Zbl 0949.93038
Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I.
1999
On the global dynamics of a controlled viscous Burgers’ equation. Zbl 0943.35080
Byrnes, Ch. I.; Gilliam, D. S.; Shubov, V. I.
1998
Harmonic forcing for linear distributed parameter systems. Zbl 0906.93028
Byrnes, C. I.; Gilliam, D. S.; Laukó, I. G.; Shubov, V. I.
1998
Uniqueness of optimal trajectories and the nonexistence of shocks for Hamilton-Jacobi-Bellman and Riccati partial differential equations. Zbl 1092.35502
Byrnes, Christopher I.; Frankowska, Hélène
1998
On the Riccati partial differential equation for nonlinear Bolza and Lagrange problems. Zbl 0896.49013
Byrnes, Christopher I.
1998
On the global analysis of linear systems. Zbl 1065.93500
Byrnes, Christopher I.
1998
Structurally stable output regulation of nonlinear systems. Zbl 0873.93043
Byrnes, C. I.; Delli Priscoli, F.; Isidori, Alberto; Kang, W.
1997
Output regulation of uncertain nonlinear systems. Zbl 0876.93003
Byrnes, Christopher I.; Delli Priscoli, Francesco; Isidori, Alberto
1997
On the partial stochastic realization problem. Zbl 0885.93012
Byrnes, Christopher I.; Lindquist, Anders
1997
On the well-posedness of the rational covariance extension problem. Zbl 0932.93015
Byrnes, Christopher I.; Landau, Henry J.; Lindquist, Anders
1997
$$H_ \infty$$-control of discrete-time nonlinear systems. Zbl 0857.93035
Lin, Wei; Byrnes, Christopher I.
1996
High gain limits of trajectories and attractors for a boundary controlled viscous Burgers’ equation. Zbl 0856.93048
Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I.
1996
Passivity and absolute stabilization of a class of discrete-time nonlinear systems. Zbl 0826.93060
Lin, Wei; Byrnes, Christopher I.
1995
Remarks on linearization of discrete-time autonomous systems and nonlinear observer design. Zbl 0877.93022
Lin, Wei; Byrnes, Christopher I.
1995
A complete parameterization of all positive rational extensions of a covariance sequence. Zbl 0847.93008
Byrnes, Christopher I.; Lindquist, Anders; Gusev, Sergei V.; Matveev, Alexei S.
1995
Survey on the state of systems and control. Zbl 1177.93001
Blondel, Vincent; Gevers, Michel; Lindquist, Anders
1995
An integral-invariance principle for nonlinear systems. Zbl 0831.93058
Byrnes, Christopher I.; Martin, Clyde F.
1995
Discrete-time nonlinear $$H_ \infty$$ control with measurement feedback. Zbl 0821.93034
Lin, Wei; Byrnes, Christopher I.
1995
Zero-state observability and stability of discrete-time nonlinear systems. Zbl 0826.93008
Lin, Wei; Byrnes, Christopher I.
1995
Steady state response to Burgers’ equation with varying viscosity. Zbl 0841.35101
Byrnes, C. I.; Gilliam, David S.; Shubov, Victor I.; Xu, Zaichao
1995
Losslessness, feedback equivalence, and the global stabilization of discrete-time nonlinear systems. Zbl 0807.93037
Byrnes, Christopher I.; Lin, Wei
1994
Design of discrete-time nonlinear control systems via smooth feedback. Zbl 0825.93424
Lin, Wei; Byrnes, Christopher I.
1994
KYP lemma, state feedback and dynamic output feedback in discrete-time bilinear systems. Zbl 0820.93056
Lin, W.; Byrnes, C. I.
1994
Root-locus and boundary feedback design for a class of distributed parameter systems. Zbl 0819.93035
Byrnes, Christopher I.; Gilliam, David S.; He, Jianqiu
1994
On the nonlinear dynamics of fast filtering algorithms. Zbl 0825.93906
Byrnes, Christopher I.; Lindquist, Anders; Zhou, Yishao
1994
Stability, detectability and the problem of disturbance decoupling. Zbl 0817.93060
Byrnes, C. I.; Kang, W.
1994
Stabilization of discrete-time nonlinear systems by smooth state feedback. Zbl 0784.93089
Byrnes, Christopher I.; Lin, Wei; Ghosh, Bijoy K.
1993
The additive inverse eigenvalue problem for Lie perturbations. Zbl 0774.15006
Byrnes, Christopher I.; Wang, Xiaochang
1993
Boundary control for a viscous Burgers’ equation. Zbl 0795.93058
Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I.
1993
The zero dynamics algorithm for general nonlinear systems and its application in exact output tracking. Zbl 0770.93048
Byrnes, Christopher I.; Hu, Xiaoming
1993
Singularly perturbed zero dynamics of nonlinear systems. Zbl 0770.93050
Isidori, A.; Sastry, S. S.; Kokotović, P. V.; Byrnes, C. I.
1992
Unicité des solutions optimales et absence de chocs pour les équations d’Hamilton-Jacobi-Bellman et de Riccati. (Uniqueness of optimal solutions and the nonexistence of shocks for Hamilton-Jacobi- Bellman and Riccati PDE). Zbl 0777.49021
Byrnes, Christopher; Frankowska, Hélène
1992
Shock waves for Riccati partial differential equations arising in nonlinear optimal control. Zbl 0770.35007
Byrnes, Christopher I.; Jhemi, Ali
1992
Decentralized-feedback pole placement of linear systems. Zbl 0748.93035
Wang, X.; Martin, C. F.; Gilliam, D.; Byrnes, C. I.
1992
The cohomology of the moduli space of controllable linear systems. Zbl 0768.93009
Helmke, Uwe; Byrnes, Christopher I.
1992
Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems. Zbl 0758.93007
Byrnes, Christopher I.; Isidori, Alberto; Willems, Jan C.
1991
Asymptotic stabilization of minimum phase nonlinear systems. Zbl 0758.93060
Byrnes, Christopher I.; Isidori, Alberto
1991
On the attitude stabilization of rigid spacecraft. Zbl 0733.93051
Byrnes, Christopher I.; Isidori, Alberto
1991
Asymptotic tracking and disturbance rejection in nonlinear systems. Zbl 0736.93033
Isidori, A.; Byrnes, C. I.
1991
Predictability and unpredictability in Kalman filtering. Zbl 0738.93071
Byrnes, C. I.; Lindquist, A.; McGregor, T.
1991
Feedback equivalence to passive nonlinear systems. Zbl 0789.93105
Byrnes, C. I.; Isidori, A.; Willems, J. C.
1991
Stable, unstable and center manifolds for fast filtering algorithms. Zbl 0749.93076
Byrnes, C. I.; Lindquist, A.; Zhou, Yishao
1991
New methods for shaping the response of a nonlinear system. Zbl 0752.93034
Byrnes, Christopher I.; Isidori, Alberto
1991
A root locus methodology for parabolic distributed parameter feedback systems. Zbl 0823.93024
Byrnes, Christopher I.; Gilliam, David S.; He, Jianqiu
1991
Output regulation of nonlinear systems. Zbl 0704.93034
Isidori, Alberto; Byrnes, Christopher I.
1990
Boundary feedback stabilization of distributed parameter systems. Zbl 0743.93081
Byrnes, C. I.; Gilliam, D. S.
1990
The analysis of singularly perturbed zero dynamics. Zbl 0711.93060
Isidori, A.; Kokotovic, P. V.; Sastry, S. S.; Byrnes, C. I.
1990
Viability kernels, controlled invariance and zero dynamics for nonlinear systems. Zbl 0713.93026
Aubin, Jean Pierre; Byrnes, Christopher I.; Isidori, Alberto
1990
Asymptotic properties of nonlinear minimum phase systems. Zbl 0714.93021
Byrnes, C.; Isidori, A.
1989
New results and examples in nonlinear feedback stabilization. Zbl 0684.93059
Byrnes, Christopher I.; Isidori, Alberto
1989
Pole assignment by output feedback. Zbl 0701.93047
Byrnes, C. I.
1989
Feedback design from the zero dynamics point of view. Zbl 0703.93057
Byrnes, Christopher I.; Isidori, Alberto
1989
Geometry of the Kimura-Georgiou parametrization of modelling filters. Zbl 0694.93101
Byrnes, Christopher I.; Lindquist, Anders
1989
Robust feedback stabilization of nonlinear systems. Zbl 0712.93044
Byrnes, Christopher I.; Hu, Xiaoming; Isidori, Alberto
1989
Local stabilization of minimum-phase nonlinear systems. Zbl 0649.93030
Byrnes, Christopher I; Isidori, Alberto
1988
Global observability and detectability: An overview. Zbl 0850.93127
Byrnes, C. I.; Martin, C. F.
1988
Fourier analytic observability criteria for certain ergodic systems. Zbl 0711.93017
Byrnes, Christopher I.; McMahon, Douglas
1988
Observability of minimal, distal systems. Zbl 0604.58045
Byrnes, Christopher I.; Crouch, Peter E.
1986
Least-squares estimation, linear programming, and momentum: A geometric parametrization of local minima. Zbl 0633.49019
Byrnes, Christopher I.; Willems, Jan C.
1986
Local accessibility, local reachability, and representations of compact groups. Zbl 0664.93006
Crouch, P. E.; Byrnes, C. I.
1986
Symmetries and local controllability. Zbl 0607.93010
Crouch, P. E.; Byrnes, C. I.
1986
Asymptotic expansions, root-loci and the global stability of nonlinear feedback systems. Zbl 0606.93039
Byrnes, Christopher I.; Isidori, Alberto
1986
Cascade equivalence of linear systems. Zbl 0615.93020
Byrnes, Christopher I.; Helton, J. William
1986
Geometric methods for the classification of linear feedback systems. Zbl 0576.93016
Byrnes, Christopher I.; Crouch, Peter E.
1985
Remarks on nonlinear planar control systems which are linearizable by feedback. Zbl 0567.93039
Byrnes, Christopher I.
1985
Global adaptive stabilization in the absence of information on the sign of the high frequency gain. Zbl 0549.93043
Willems, J. C.; Byrnes, C. I.
1984
Output feedback and generic stabilizability. Zbl 0557.93047
Byrnes, C. I.; Anderson, B. D. O.
1984
...and 27 more Documents
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### Cited by 1,806 Authors

 30 Byrnes, Christopher Ian 26 Marconi, Lorenzo 23 Isidori, Alberto 22 Huang, Jie 20 Lin, Wei 18 Vaidyanathan, Sundarapandian 17 Guo, Bao-Zhu 17 Yavin, Yaakov 16 Ortega, Romeo S. 14 Astolfi, Alessandro 14 Ilchmann, Achim 14 Monaco, Salvatore 13 Jiang, Zhong-Ping 13 Khalil, Hassan K. 13 Normand-Cyrot, Dorothée 13 Teel, Andrew Richard 12 Nijmeijer, Henk 12 Ryan, Eugene P. 12 Zhao, Jun 11 Karcanias, Nicos 11 Lindquist, Anders Gunnar 11 Praly, Laurent 10 Chen, Zhiyong 10 Ding, Zhengtao 10 Logemann, Hartmut 10 Serrani, Andrea 9 Ahn, Choon Ki 9 Dubljevic, Stevan S. 9 Helmke, Uwe R. 9 Kokotovic, Petar V. 8 Gilliam, David S. 8 Leventides, John 8 Sontag, Eduardo D. 8 Sottile, Frank 8 Su, Hongye 8 Zorzi, Mattia 7 Bloch, Anthony Michael 7 Castillo-Toledo, Bernardino 7 Cheng, Daizhan 7 Emelianova, Julia P. 7 Fradkov, Aleksandr L’vovich 7 Guo, Wei 7 Kravaris, Costas 7 Lin, Zongli 7 Paunonen, Lassi 7 Qian, Chunjiang 7 Townley, Stuart B. 7 Xu, Xiaodong 7 Zaitsev, Vasilii Alexandrovich 7 Zhang, Weihai 6 Battilotti, Stefano 6 Dayawansa, Wijesuriya P. 6 Haddad, Wassim Michael 6 Karlsson, Johan 6 Kazantzis, Nikolaos K. 6 Lin, Zhongwei 6 Liu, Jizhen 6 Loria, Antonio 6 Marino, Riccardo 6 Meyer, George E. 6 Outbib, Rachid 6 Pakshin, P. V. 6 Pogromsky, Alexander Yu. 6 Pohjolainen, Seppo A. 6 Sanchez, Edgar N. 6 Shi, Peng 6 Shubov, Viktor Isaakovich 6 Zhou, Hua-Cheng 5 Alanis, Alma Y. 5 Allgower, Frank 5 Balasubramaniam, Pagavathigounder 5 Bernstein, Dennis S. 5 Čelikovský, Sergej 5 Duarte-Mermoud, Manuel Armando 5 Ferrante, Augusto 5 Florchinger, Patrick 5 Gałkowski, Krzysztof 5 Grüne, Lars 5 Guo, Lei 5 Immonen, Eero 5 Jin, Fengfei 5 Krstić, Miroslav 5 Loukianov, Alexander G. 5 Manthey, Wilfried 5 Müller, Matthias A. 5 Nagamani, G. 5 Navarro-López, Eva María 5 Nguang, Sing Kiong 5 Niu, Yuguang 5 Orlov, Yury V. 5 Rogers, Eric 5 Rosenthal, Joachim 5 Schumacher, Johannes M. 5 Shao, Zhichao 5 Shiriaev, Anton Stanislavovich 5 Shtessel, Yuri B. 5 Su, Youfeng 5 Sun, Zongyao 5 Tsinias, John 5 Tsiotras, Panagiotis ...and 1,706 more Authors
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### Cited in 166 Serials

 256 Automatica 248 Systems & Control Letters 129 International Journal of Control 60 International Journal of Robust and Nonlinear Control 53 European Journal of Control 50 Journal of the Franklin Institute 34 Linear Algebra and its Applications 30 MCSS. Mathematics of Control, Signals, and Systems 28 Mathematical Problems in Engineering 26 Mathematical and Computer Modelling 24 Automation and Remote Control 18 International Journal of Systems Science 18 Kybernetika 17 SIAM Journal on Control and Optimization 15 Asian Journal of Control 14 Applied Mathematics and Computation 13 Applied Mathematics Letters 13 Nonlinear Dynamics 13 International Journal of Systems Science. Principles and Applications of Systems and Integration 11 Fuzzy Sets and Systems 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Hybrid Systems 9 Information Sciences 9 Journal of Differential Equations 8 Computers & Mathematics with Applications 8 Chaos, Solitons and Fractals 8 International Journal of Adaptive Control and Signal Processing 8 Abstract and Applied Analysis 7 Circuits, Systems, and Signal Processing 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Journal of Mathematical Sciences (New York) 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Optimization Theory and Applications 6 Chaos 5 Mathematical Systems Theory 5 Journal of Systems Science and Complexity 5 Journal of Control Theory and Applications 5 Nonlinear Analysis. Theory, Methods & Applications 4 Linear and Multilinear Algebra 4 Physics Letters. A 4 Mathematics of Computation 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Dynamics and Control 4 Applied Mathematical Modelling 4 Journal of Vibration and Control 4 Differential Equations 3 Journal of Mathematical Physics 3 Mathematical Biosciences 3 Mathematical Methods in the Applied Sciences 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Quarterly of Applied Mathematics 3 Optimal Control Applications & Methods 3 Stochastic Analysis and Applications 3 Physica D 3 Discrete Dynamics in Nature and Society 3 Journal of Applied Mathematics 3 Journal of Control Science and Engineering 2 Annales de l’Institut Fourier 2 Journal of Computational and Applied Mathematics 2 Journal of Pure and Applied Algebra 2 Theoretical Computer Science 2 Moscow University Computational Mathematics and Cybernetics 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Robotic Systems 2 Signal Processing 2 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Journal of Difference Equations and Applications 2 International Journal of Applied Mathematics and Computer Science 2 Nonlinear Analysis. Real World Applications 2 Advances in Difference Equations 2 Science in China. Series F 2 Bulletin of the American Mathematical Society 2 Journal of Zhejiang University. Science A 2 Mathematical Control and Related Fields 2 Control Theory and Technology 2 SIAM Journal on Applied Algebra and Geometry 1 Modern Physics Letters B 1 Acta Mechanica 1 Communications in Mathematical Physics 1 International Journal of General Systems 1 Information Processing Letters 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Physica A 1 Prikladnaya Matematika i Mekhanika 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 International Journal of Circuit Theory and Applications ...and 66 more Serials
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### Cited in 51 Fields

 1,295 Systems theory; control (93-XX) 127 Ordinary differential equations (34-XX) 84 Mechanics of particles and systems (70-XX) 68 Partial differential equations (35-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 60 Dynamical systems and ergodic theory (37-XX) 57 Linear and multilinear algebra; matrix theory (15-XX) 36 Numerical analysis (65-XX) 29 Biology and other natural sciences (92-XX) 25 Computer science (68-XX) 25 Information and communication theory, circuits (94-XX) 24 Probability theory and stochastic processes (60-XX) 24 Operations research, mathematical programming (90-XX) 22 Algebraic geometry (14-XX) 20 Operator theory (47-XX) 17 Functions of a complex variable (30-XX) 13 Mechanics of deformable solids (74-XX) 11 Statistics (62-XX) 9 Real functions (26-XX) 7 Difference and functional equations (39-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 General topology (54-XX) 6 Algebraic topology (55-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Topological groups, Lie groups (22-XX) 4 Functional analysis (46-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Geophysics (86-XX)

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