## Curtain, Ruth Frances

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 Author ID: curtain.ruth-f Published as: Curtain, Ruth F.; Curtain, R. F.; Curtain, Ruth Homepage: http://www.math.rug.nl/curtain/ External Links: MGP · Wikidata · ResearchGate · dblp
 Documents Indexed: 155 Publications since 1970, including 4 Books 5 Contributions as Editor · 1 Further Contribution Reviewing Activity: 2 Reviews Biographic References: 2 Publications Co-Authors: 38 Co-Authors with 93 Joint Publications 1,134 Co-Co-Authors
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### Co-Authors

 65 single-authored 15 Zwart, Hans J. 9 Pritchard, Anthony J. 7 Bontsema, Jan 7 Sasane, Amol J. 7 Weiss, George 6 Glover, Keith 6 Opmeer, Mark R. 5 Kotelenez, Peter M. 5 Logemann, Hartmut 5 Oostveen, Job C. 4 Iftime, Orest V. 4 Weiss, Martin G. 4 Zhou, Yishao 3 Ichikawa, Akira 3 Partington, Jonathan R. 3 van Keulen, Bert A. M. 2 Falb, Peter L. 2 Hinrichsen, Diederich 2 Ito, Kazufumi 2 Kubrusly, Carlos S. 2 Rodman, Leiba X. 2 Salamon, Dietmar Arno 2 Schumacher, Johannes M. 2 Staffans, Olof Johan 2 Townley, Stuart B. 1 Amouroux, Marcel 1 Araya, Rodrigo 1 Arnold, Ludwig 1 Aubrun, J.-N. 1 Babary, Jean-Pierre 1 Bahar, Leon Y. 1 Baillieul, John B. 1 Balas, Mark J. 1 Banks, Harvey Thomas 1 Bar-Kana, Izhak 1 Bayard, David S. 1 Bensoussan, Alain 1 Bentsman, Joseph 1 Bertoni, Gianni 1 Boussalis, Dhemetrios 1 Brisbane, T. E. 1 Burke, Shawn E. 1 Burns, John A. 1 Capitani, Gloria 1 Cliff, Eugene M. 1 Costveen, Job C. 1 de Lafontaine, Jean 1 Delfour, Michel Claude 1 Demetriou, Michael A. 1 El Bagdouri, M. 1 El Jai, Abdelhaq 1 Eldred, D. 1 Fathi, Zohreh 1 Felippe de Souza, J. A. M. 1 Fiagbedzi, Yawvi A. 1 Fischl, Robert 1 Forrest-Barlach, M. G. 1 Garba, John A. 1 Gay, D. H. 1 Graham, John W. 1 Hadaegh, Fred Y. 1 Havas, T. W. 1 Helferty, John J. 1 Henninger, W. C. 1 Herczfeld, P. R. 1 Hubbard, James E. jun. 1 Ih, Che-Hang Charles 1 Jacob, Birgit 1 Jarny, Yvon 1 Jay-Chung Chen 1 Juang, Jer-Nan 1 Kaashoek, Marinus Adriaan 1 Kaufman, Howard 1 Keyhani, Ali 1 Kojima, Fumio 1 Koski, Timo J. T. 1 Kuiper, C. R. 1 Kunisch, Karl 1 Levan, Nhan 1 Levi, Mark L. 1 Lilly, John H. 1 Lions, Jacques-Louis 1 Liu, Mingyan 1 Lorell, K. R. 1 Malebranche, Helios 1 Marshall, J. E. 1 Marzwell, N. 1 Meerkov, Semyon M. 1 Meldrum, D. R. 1 Mikkola, Kalle M. 1 Milman, Mark H. 1 Minnick, D. 1 Miri, S. Mohsen 1 Modi, Vinod J. 1 Morris, Kirsten A. 1 Musalem, Andrés 1 Ohnaka, Kohzaburo 1 Omatu, Sigeru 1 Osinga, Hinke Maria 1 Ouyang, J. J. ...and 48 more Co-Authors
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### Serials

 23 Systems & Control Letters 17 SIAM Journal on Control and Optimization 11 Automatica 10 IEEE Transactions on Automatic Control 9 International Journal of Control 7 Integral Equations and Operator Theory 6 Journal of Mathematical Analysis and Applications 4 Stochastics 4 MCSS. Mathematics of Control, Signals, and Systems 2 IMA Journal of Mathematical Control and Information 2 Linear Algebra and its Applications 2 International Journal of Robust and Nonlinear Control 2 Journal of Mathematical Systems, Estimation, and Control 2 International Journal of Applied Mathematics and Computer Science 2 SIAM Journal on Control 2 Lecture Notes in Control and Information Sciences 2 Texts in Applied Mathematics 1 Journal of the Franklin Institute 1 IEEE Transactions on Circuits and Systems 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Mathematical Systems Theory 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Matrix Analysis and Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Matemática Aplicada e Computacional 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Indagationes Mathematicae. New Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Lecture Notes in Mathematics 1 Mathematics in Science and Engineering 1 NATO ASI Series. Series F. Computer and Systems Sciences 1 Mathematical Control and Related Fields 1 IEEE Control Systems
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### Fields

 151 Systems theory; control (93-XX) 48 Operator theory (47-XX) 22 Probability theory and stochastic processes (60-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 15 Ordinary differential equations (34-XX) 12 Partial differential equations (35-XX) 12 Functional analysis (46-XX) 7 Approximations and expansions (41-XX) 6 General and overarching topics; collections (00-XX) 6 Mechanics of deformable solids (74-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

132 Publications have been cited 2,221 times in 1,551 Documents Cited by Year
An introduction to infinite-dimensional linear systems theory. Zbl 0839.93001
Curtain, Ruth F.; Zwart, Hans
1995
Infinite dimensional linear systems theory. Zbl 0389.93001
Curtain, Ruth F.; Pritchard, Anthony J.
1978
Spectral realizations for delay systems. Zbl 0646.93014
Curtain, R. F.; Zwart, H. J.
1987
Functional analysis in modern applied mathematics. Zbl 0448.46002
Curtain, Ruth F.; Pritchard, A. J.
1977
Realisation and approximation of linear infinite-dimensional systems with error bounds. Zbl 0654.93011
Glover, Keith; Curtain, Ruth F.; Partington, Jonathan R.
1988
The infinite-dimensional Riccati equation for systems defined by evolution operators. Zbl 0352.49003
Curtain, Ruth; Pritchard, A. J.
1976
Stochastic differential equations in Hilbert space. Zbl 0225.60028
Curtain, Ruth F.; Falb, Peter L.
1971
Transfer functions of distributed parameter systems: a tutorial. Zbl 1162.93300
Curtain, Ruth; Morris, Kirsten
2009
A semigroup approach to infinite dimensional system theory. Zbl 0426.93001
Curtain, Ruth F.; Pritchard, A. J.
1978
Dynamic stabilization of regular linear systems. Zbl 0876.93074
Weiss, George; Curtain, Ruth F.
1997
Finite dimensional compensators for parabolic distributed systems with unbounded control and observation. Zbl 0542.93056
Curtain, Ruth F.
1984
Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input. Zbl 0477.93039
Curtain, Ruth F.
1982
Invariance concepts in infinite dimensions. Zbl 0602.93037
Curtain, Ruth F.
1986
Finite dimensional compensators for infinite dimensional systems with unbounded input operators. Zbl 0598.93033
Curtain, R. F.; Salamon, D.
1986
Ito’s lemma in infinite dimensions. Zbl 0233.60051
Curtain, Ruth F.; Falb, Peter L.
1970
The Salamon-Weiss class of well-posed infinite-dimensional linear systems: A survey. Zbl 0880.93021
Curtain, Ruth F.
1997
Equivalence of input-output stability and exponential stability for infinite-dimensional systems. Zbl 0657.93050
Curtain, Ruth F.
1988
Robust stabilization of infinite dimensional systems by finite dimensional controllers. Zbl 0601.93044
Curtain, Ruth F.; Glover, Keith
1986
System theoretic properties of a class of spatially invariant systems. Zbl 1184.93094
Curtain, Ruth; Iftime, Orest V.; Zwart, Hans
2009
Exponential stabilization of well-posed systems by colocated feedback. Zbl 1139.93026
Curtain, Ruth F.; Weiss, George
2006
Spectral systems. Zbl 0541.93041
Curtain, Ruth F.
1984
A survey of infinite-dimensional filtering. Zbl 0308.60022
Curtain, Ruth
1975
Stability of stochastic partial differential equation. Zbl 0452.60072
Curtain, Ruth F.
1981
Well posedness of triples of operators (in the sense of linear systems theory). Zbl 0686.93049
Curtain, Ruth F.; Weiss, George
1989
Robust stabilizability of normalized coprime factors: The infinite- dimensional case. Zbl 0703.93050
Curtain, Ruth F.
1990
Stochastic evolution equations with general white noise disturbance. Zbl 0367.60067
Curtain, Ruth F.
1977
Comparison theorems for infinite-dimensional Riccati equations. Zbl 0716.93021
Curtain, Ruth F.; Rodman, Leiba
1990
Well-posedness, stabilizability, and admissibility for Pritchard-Salamon systems. Zbl 0815.93046
Curtain, Ruth F.; Logemann, Hartmut; Townley, Stuart; Zwart, Hans
1994
Coprime factorization for regular linear systems. Zbl 0870.93025
Curtain, Ruth; Weiss, George; Weiss, Martin
1996
Infinite-dimensional filtering. Zbl 0296.93036
Curtain, Ruth F.
1975
Linear operator inequalities for strongly stable weakly regular linear systems. Zbl 1114.93029
Curtain, Ruth F.
2001
Controller design for distributed systems based on Hankel-norm approximations. Zbl 0591.93033
Curtain, R. F.; Glover, K.
1986
Estimation theory for abstract evolution equations excited by general white noise processes. Zbl 0344.93064
Curtain, Ruth F.
1976
Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems. Zbl 1011.93024
Curtain, R. F.; Sasane, A. J.
2001
Robust control of flexible structures: A case study. Zbl 0643.93056
Bontsema, J.; Curtain, R. F.; Schumacher, J. M.
1988
$$L_{\infty}$$ approximation and nuclearity of delay systems. Zbl 0641.93018
Partington, J. R.; Glover, K.; Zwart, H. J.; Curtain, Ruth F.
1988
Riccati equations for strongly stabilizable bounded linear systems. Zbl 0979.93092
Oostveen, Job C.; Curtain, Ruth F.
1998
Partial fraction expansions for delay systems. Zbl 0654.93034
Zwart, H. J.; Curtain, R. F.; Partington, J. R.; Glover, K.
1988
Explicit formulas for Hankel norm approximations of infinite-dimensional systems. Zbl 0681.47008
Curtain, Ruth F.; Ran, A. C. M.
1989
Linear-quadratic control problem with fixed endpoints in infinite dimensions. Zbl 0527.93037
Curtain, R. F.
1984
Stability results of Popov-type for infinite-dimensional systems with applications to integral control. Zbl 1032.93061
Curtain, R. F.; Logemann, H.; Staffans, O.
2003
The infinite-dimensional Riccati equation. Zbl 0279.93048
Curtain, Ruth F.; Pritchard, A. J.
1974
Introduction to infinite-dimensional systems theory. A state-space approach. Zbl 1459.93001
Curtain, Ruth; Zwart, Hans
2020
The separation principle for stochastic evolution equations. Zbl 0359.60076
Curtain, Ruth F.; Ichikawa, Akira
1977
An abstract theory for unbounded control action for distributed parameter systems. Zbl 0359.93021
Curtain, Ruth F.; Pritchard, A. J.
1977
(C,A,B)-pairs in infinite dimensions. Zbl 0553.93037
Curtain, Ruth F.
1984
A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version. Zbl 1204.49035
Curtain, Ruth; Iftime, Orest; Zwart, Hans
2010
The Nehari problem for the Pritchard-Salamon class of infinite- dimensional linear systems: A direct approach. Zbl 0807.47011
Curtain, Ruth; Zwart, Hans
1994
Disturbance decoupling by measurement feedback with stability for infinite-dimensional systems. Zbl 0591.93032
Curtain, Ruth F.
1986
Robustly stabilizing controllers for dissipative infinite-dimensional systems with collocated actuators and sensors. Zbl 0979.93101
Oostveen, Job C.; Curtain, Ruth F.
2000
Regular linear systems and their reciprocals: applications to Riccati equations. Zbl 1157.93345
Curtain, Ruth F.
2003
Representations of infinite-dimensional systems. Zbl 0684.93045
Curtain, R. F.
1989
Necessary and sufficient conditions for strong stability of distributed parameter systems. Zbl 0917.93059
Curtain, Ruth F.; Oostveen, Job C.
1999
Absolute-stability results in infinite dimensions. Zbl 1074.93031
Curtain, R. F.; Logemann, H.; Staffans, O.
2004
Local behaviour of Hilbert space valued stochastic integrals and the continuity of mild solutions of stochastic evolution equations. Zbl 0486.60058
Kotelenez, Peter; Curtain, Ruth F.
1982
Compensators for infinite dimensional linear systems. Zbl 0518.93045
Curtain, Ruth F.
1983
Estimation and stochastic control for linear infinite-dimensional systems. Zbl 0444.60046
Curtain, Ruth F.
1978
Stabilization of collocated systems by nonlinear boundary control. Zbl 1347.93216
Curtain, Ruth; Zwart, Hans
2016
Exponential stabilization of a Rayleigh beam using collocated control. Zbl 1367.74029
Weiss, George; Curtain, Ruth F.
2008
A note on spillover and robustness for flexible systems. Zbl 0644.93043
Bontsema, J.; Curtain, Ruth F.
1988
Old and new perspectives on the positive-real lemma in systems and control theory. Zbl 0961.93045
Curtain, R. F.
1999
Finite dimensional compensators for some hyperbolic systems with boundary control. Zbl 0527.93048
Curtain, R. F.
1983
Perturbation properties of a class of infinite-dimensional systems with unbounded control and observation. Zbl 0666.93067
Bontsema, Jan; Curtain, Ruth F.
1988
Robust stabilization of infinite-dimensional systems with respect to coprime factor perturbations. Zbl 0792.93097
Curtain, Ruth F.; Pritchard, A. J.
1994
Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control. Zbl 0964.93048
Logemann, Hartmut; Curtain, Ruth F.
2000
Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems. Zbl 0990.93021
Sasane, Amol J.; Curtain, Ruth F.
2001
The Nehari problem for nonexponentially stable systems. Zbl 0910.93024
Curtain, Ruth F.; Costveen, Job C.
1998
A weighted mixed-sensitivity $$H_ \infty$$-control design for irrational transfer matrices. Zbl 0865.93021
Curtain, Ruth F.; Zhou, Yishao
1996
On Riccati equations in Banach algebras. Zbl 1223.46050
Curtain, Ruth; Sasane, Amol
2011
Normalized doubly coprime factorizations for infinite-dimensional linear systems. Zbl 1105.93052
Curtain, Ruth F.; Opmeer, Mark R.
2006
Pole assignment for distributed systems by finite-dimensional control. Zbl 0558.93035
Curtain, Ruth F.
1985
Balanced realisations for infinite dimensional systems. Zbl 0619.93016
Curtain, Ruth F.; Glover, Keith
1986
Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems. Zbl 1007.93040
Sasane, Amol J.; Curtain, Ruth F.
2002
The Nehari problem for infinite-dimensional linear systems of parabolic type. Zbl 0858.47017
Curtain, Ruth F.; Ichikawa, Akira
1996
Riccati equations for stable well-posed linear systems: The generic case. Zbl 1048.49022
Curtain, Ruth F.
2003
Inertia theorems for operator Lyapunov inequalities. Zbl 0974.93026
Sasane, A. J.; Curtain, R. F.
2001
The Kalman-Yakubovich-Popov Lemma for Pritchard-Salamon systems. Zbl 0877.93065
Curtain, R. F.
1996
A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems. Zbl 1115.93041
Iftime, O. V.; Zwart, H. J.; Curtain, R. F.
2005
New Riccati equations for well-posed linear systems. Zbl 1157.49316
Opmeer, Mark R.; Curtain, Ruth F.
2004
Robust control with respect to coprime factors of infinite-dimensional positive real systems. Zbl 0760.93061
Curtain, Ruth F.; Van Keulen, Bert
1992
The strict bounded real lemma in infinite dimensions. Zbl 0782.93043
Curtain, Ruth F.
1993
Riccati equations for second order spatially invariant partial differential systems. Zbl 1244.49061
Curtain, Ruth F.
2012
An approximation theory for strongly stabilizing solutions to the operator LQ Riccati equation. Zbl 0970.49025
Oostveen, J. C.; Curtain, R. F.; Ito, K.
2000
Identification of noisy distributed parameter systems using stochastic approximation. Zbl 0351.93030
Kubrusly, C. S.; Curtain, R. F.
1977
A semigroup approach to the LQG problem for infinite-dimensional systems. Zbl 0402.93045
Curtain, Ruth F.
1978
The suboptimal Nehari problem for well-posed linear systems. Zbl 1094.47057
Curtain, Ruth F.; Opmeer, Mark R.
2005
The infinite-dimensional Riccati equation with applications to affine hereditary differential systems. Zbl 0316.93054
Curtain, Ruth F.
1975
Markov processes generated by linear stochastic evolution equations. Zbl 0461.60078
Curtain, Ruth F.
1981
A robust LQG-controller design for DPS. Zbl 1122.93325
Curtain, R. F.
2006
Robustly stabilizing controllers with respect to left-coprime factor perturbations for infinite-dimensional linear systems. Zbl 1129.93522
Curtain, Ruth F.
2006
On stabilizability of linear spectral systems via state boundary feedback. Zbl 0557.93050
Curtain, Ruth F.
1985
Linear quadratic Gaussian balancing for discrete-time infinite-dimensional linear systems. Zbl 1090.47508
Opmeer, Mark R.; Curtain, Ruth F.
2004
$$H_{\infty}$$-control with state-feedback: The infinite-dimensional case. Zbl 0770.93031
van Keulen, Bert; Peters, Marc; Curtain, Ruth
1993
Stabilility of semilinear evolution equations in Hilbert space. Zbl 0544.93056
Curtain, Ruth F.
1984
Riccati equations on noncommutative Banach algebras. Zbl 1262.46035
Curtain, Ruth
2011
Stabilization of irrational transfer functions by controllers with internal loop. Zbl 1175.93186
Curtain, Ruth F.; Weiss, George; Weiss, Martin
2001
Adaptive compresators for perturbed positive real infinite-dimensional systems. Zbl 1051.93051
Curtain, Ruth F.; Demetriou, Michael A.; Ito, Kazufumi
2003
Analytic system problems and $$J$$-lossless coprime factorization for infinite-dimensional linear systems. Zbl 0876.93028
Curtain, Ruth; Green, Michael
1997
Optimal location of sensors for filtering for distributed systems. Zbl 0398.93059
Curtain, Ruth F.; Ichikawa, Akira
1978
Linear stochastic evolution equation models for chemical reactions. Zbl 0461.60079
Arnold, Ludwig; Kotelenez, P.; Curtain, Ruth F.
1981
Introduction to infinite-dimensional systems theory. A state-space approach. Zbl 1459.93001
Curtain, Ruth; Zwart, Hans
2020
Strong stabilization of (almost) impedance passive systems by static output feedback. Zbl 1441.93219
Curtain, Ruth F.; Weiss, George
2019
A Kleinman-Newton construction of the maximal solution of the infinite-dimensional control Riccati equation. Zbl 1375.93063
Curtain, Ruth F.; Zwart, Hans; Iftime, Orest V.
2017
Stabilization of collocated systems by nonlinear boundary control. Zbl 1347.93216
Curtain, Ruth; Zwart, Hans
2016
Stabilizability and controllability of spatially invariant PDE systems. Zbl 1360.93177
Curtain, Ruth F.
2015
Riccati equations for second order spatially invariant partial differential systems. Zbl 1244.49061
Curtain, Ruth F.
2012
On Riccati equations in Banach algebras. Zbl 1223.46050
Curtain, Ruth; Sasane, Amol
2011
Riccati equations on noncommutative Banach algebras. Zbl 1262.46035
Curtain, Ruth
2011
Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems. Zbl 1248.93148
Curtain, Ruth F.; Opmeer, Mark R.
2011
Comments on “Distributed control of spatially invariant systems”. Zbl 1368.93267
Curtain, Ruth
2011
A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version. Zbl 1204.49035
Curtain, Ruth; Iftime, Orest; Zwart, Hans
2010
Analytic solutions of matrix Riccati equations with analytic coefficients. Zbl 1273.47020
Curtain, Ruth; Rodman, Leiba
2010
Transfer functions of distributed parameter systems: a tutorial. Zbl 1162.93300
Curtain, Ruth; Morris, Kirsten
2009
System theoretic properties of a class of spatially invariant systems. Zbl 1184.93094
Curtain, Ruth; Iftime, Orest V.; Zwart, Hans
2009
Comments on “On optimal control of spatially distributed systems”. Zbl 1367.93277
Curtain, Ruth
2009
Spectral properties of pseudo-resolvents under structured perturbations. Zbl 1248.93051
Curtain, Ruth F.; Jacob, Birgit
2009
State space formulas for a solution of the suboptimal Nehari problem on the unit disc. Zbl 1189.47080
Curtain, Ruth F.; Opmeer, Mark R.
2009
Exponential stabilization of a Rayleigh beam using collocated control. Zbl 1367.74029
Weiss, George; Curtain, Ruth F.
2008
The Hilbert-Schmidt property of feedback operators. Zbl 1154.93332
Curtain, Ruth; Mikkola, Kalle; Sasane, Amol
2007
Exponential stabilization of well-posed systems by colocated feedback. Zbl 1139.93026
Curtain, Ruth F.; Weiss, George
2006
Normalized doubly coprime factorizations for infinite-dimensional linear systems. Zbl 1105.93052
Curtain, Ruth F.; Opmeer, Mark R.
2006
A robust LQG-controller design for DPS. Zbl 1122.93325
Curtain, R. F.
2006
Robustly stabilizing controllers with respect to left-coprime factor perturbations for infinite-dimensional linear systems. Zbl 1129.93522
Curtain, Ruth F.
2006
Robustly stabilizing controllers with internal loop. Zbl 1118.93047
Curtain, Ruth F.
2006
A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems. Zbl 1115.93041
Iftime, O. V.; Zwart, H. J.; Curtain, R. F.
2005
The suboptimal Nehari problem for well-posed linear systems. Zbl 1094.47057
Curtain, Ruth F.; Opmeer, Mark R.
2005
Absolute-stability results in infinite dimensions. Zbl 1074.93031
Curtain, R. F.; Logemann, H.; Staffans, O.
2004
New Riccati equations for well-posed linear systems. Zbl 1157.49316
Opmeer, Mark R.; Curtain, Ruth F.
2004
Linear quadratic Gaussian balancing for discrete-time infinite-dimensional linear systems. Zbl 1090.47508
Opmeer, Mark R.; Curtain, Ruth F.
2004
Stability results of Popov-type for infinite-dimensional systems with applications to integral control. Zbl 1032.93061
Curtain, R. F.; Logemann, H.; Staffans, O.
2003
Regular linear systems and their reciprocals: applications to Riccati equations. Zbl 1157.93345
Curtain, Ruth F.
2003
Riccati equations for stable well-posed linear systems: The generic case. Zbl 1048.49022
Curtain, Ruth F.
2003
Adaptive compresators for perturbed positive real infinite-dimensional systems. Zbl 1051.93051
Curtain, Ruth F.; Demetriou, Michael A.; Ito, Kazufumi
2003
Hankel norm approximation for well-posed linear systems. Zbl 1157.93419
Curtain, Ruth F.; Sasane, Amol J.
2003
Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems. Zbl 1007.93040
Sasane, Amol J.; Curtain, Ruth F.
2002
Linear operator inequalities for strongly stable weakly regular linear systems. Zbl 1114.93029
Curtain, Ruth F.
2001
Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems. Zbl 1011.93024
Curtain, R. F.; Sasane, A. J.
2001
Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems. Zbl 0990.93021
Sasane, Amol J.; Curtain, Ruth F.
2001
Inertia theorems for operator Lyapunov inequalities. Zbl 0974.93026
Sasane, A. J.; Curtain, R. F.
2001
Stabilization of irrational transfer functions by controllers with internal loop. Zbl 1175.93186
Curtain, Ruth F.; Weiss, George; Weiss, Martin
2001
The Popov criterion for strongly stable distributed parameter systems. Zbl 1014.93034
Curtain, Ruth F.; Oostveen, Job C.
2001
Robustly stabilizing controllers for dissipative infinite-dimensional systems with collocated actuators and sensors. Zbl 0979.93101
Oostveen, Job C.; Curtain, Ruth F.
2000
Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control. Zbl 0964.93048
Logemann, Hartmut; Curtain, Ruth F.
2000
An approximation theory for strongly stabilizing solutions to the operator LQ Riccati equation. Zbl 0970.49025
Oostveen, J. C.; Curtain, R. F.; Ito, K.
2000
Necessary and sufficient conditions for strong stability of distributed parameter systems. Zbl 0917.93059
Curtain, Ruth F.; Oostveen, Job C.
1999
Old and new perspectives on the positive-real lemma in systems and control theory. Zbl 0961.93045
Curtain, R. F.
1999
Riccati equations for strongly stabilizable bounded linear systems. Zbl 0979.93092
Oostveen, Job C.; Curtain, Ruth F.
1998
The Nehari problem for nonexponentially stable systems. Zbl 0910.93024
Curtain, Ruth F.; Costveen, Job C.
1998
Dynamic stabilization of regular linear systems. Zbl 0876.93074
Weiss, George; Curtain, Ruth F.
1997
The Salamon-Weiss class of well-posed infinite-dimensional linear systems: A survey. Zbl 0880.93021
Curtain, Ruth F.
1997
Analytic system problems and $$J$$-lossless coprime factorization for infinite-dimensional linear systems. Zbl 0876.93028
Curtain, Ruth; Green, Michael
1997
Coprime factorization for regular linear systems. Zbl 0870.93025
Curtain, Ruth; Weiss, George; Weiss, Martin
1996
A weighted mixed-sensitivity $$H_ \infty$$-control design for irrational transfer matrices. Zbl 0865.93021
Curtain, Ruth F.; Zhou, Yishao
1996
The Nehari problem for infinite-dimensional linear systems of parabolic type. Zbl 0858.47017
Curtain, Ruth F.; Ichikawa, Akira
1996
The Kalman-Yakubovich-Popov Lemma for Pritchard-Salamon systems. Zbl 0877.93065
Curtain, R. F.
1996
Approximate solutions to a weighted mixed-sensitivity $$H^ \infty$$-control design for irrational transfer matrices. Zbl 0863.93023
Curtain, R. F.; Weiss, M.; Zhou, Y.
1996
Riccati equations and normalized coprime factorizations for strongly stabilizable infinite-dimensional systems. Zbl 0875.93201
Curtain, Ruth F.; Zwart, Hans
1996
Closed formulae for a parametric-mixed-sensitivity problem for Pritchard-Salamon systems. Zbl 0866.93028
Curtain, R. F.; Weiss, M.; Zhou, Y.
1996
Corrections to “The Kalman-Yakubovich-Popov lemma for Pritchard-Salamon systems”. Zbl 0883.93032
Curtain, R. F.
1996
An introduction to infinite-dimensional linear systems theory. Zbl 0839.93001
Curtain, Ruth F.; Zwart, Hans
1995
Well-posedness, stabilizability, and admissibility for Pritchard-Salamon systems. Zbl 0815.93046
Curtain, Ruth F.; Logemann, Hartmut; Townley, Stuart; Zwart, Hans
1994
The Nehari problem for the Pritchard-Salamon class of infinite- dimensional linear systems: A direct approach. Zbl 0807.47011
Curtain, Ruth; Zwart, Hans
1994
Robust stabilization of infinite-dimensional systems with respect to coprime factor perturbations. Zbl 0792.93097
Curtain, Ruth F.; Pritchard, A. J.
1994
Necessary and sufficient conditions for J-spectral factorizations with a J-Lossless property for infinite-dimensional systems in continuous and discrete time. Zbl 0802.93049
Curtain, Ruth F.; Rodríguez, Alejandro
1994
The Nehari problem for the Pritchard-Salamon class of infinite-dimensional linear systems: A direct approach. Zbl 0925.93322
Zwart, Hans; Curtain, Ruth
1994
The strict bounded real lemma in infinite dimensions. Zbl 0782.93043
Curtain, Ruth F.
1993
$$H_{\infty}$$-control with state-feedback: The infinite-dimensional case. Zbl 0770.93031
van Keulen, Bert; Peters, Marc; Curtain, Ruth
1993
Analysis and optimization of systems: state and frequency domain approaches for infinite-dimensional systems. Proceedings of the 10th international conference, Sophia-Antipolis, France, June 9-12, 1992. Zbl 0771.00025
1993
Robust control with respect to coprime factors of infinite-dimensional positive real systems. Zbl 0760.93061
Curtain, Ruth F.; Van Keulen, Bert
1992
Robust stabilizability of normalized coprime factors: The infinite- dimensional case. Zbl 0703.93050
Curtain, Ruth F.
1990
Comparison theorems for infinite-dimensional Riccati equations. Zbl 0716.93021
Curtain, Ruth F.; Rodman, Leiba
1990
Well posedness of triples of operators (in the sense of linear systems theory). Zbl 0686.93049
Curtain, Ruth F.; Weiss, George
1989
Explicit formulas for Hankel norm approximations of infinite-dimensional systems. Zbl 0681.47008
Curtain, Ruth F.; Ran, A. C. M.
1989
Representations of infinite-dimensional systems. Zbl 0684.93045
Curtain, R. F.
1989
Equivalence of input-output stability and exponential stability. Zbl 0673.93041
Curtain, Ruth F.
1989
Robustness of distributed parameter systems. Zbl 0698.93061
Curtain, Ruth F.
1989
Realisation and approximation of linear infinite-dimensional systems with error bounds. Zbl 0654.93011
Glover, Keith; Curtain, Ruth F.; Partington, Jonathan R.
1988
Equivalence of input-output stability and exponential stability for infinite-dimensional systems. Zbl 0657.93050
Curtain, Ruth F.
1988
Robust control of flexible structures: A case study. Zbl 0643.93056
Bontsema, J.; Curtain, R. F.; Schumacher, J. M.
1988
$$L_{\infty}$$ approximation and nuclearity of delay systems. Zbl 0641.93018
Partington, J. R.; Glover, K.; Zwart, H. J.; Curtain, Ruth F.
1988
Partial fraction expansions for delay systems. Zbl 0654.93034
Zwart, H. J.; Curtain, R. F.; Partington, J. R.; Glover, K.
1988
A note on spillover and robustness for flexible systems. Zbl 0644.93043
Bontsema, J.; Curtain, Ruth F.
1988
Perturbation properties of a class of infinite-dimensional systems with unbounded control and observation. Zbl 0666.93067
Bontsema, Jan; Curtain, Ruth F.
1988
$$L_{\infty}$$-approximations of complex functions and robust controllers for large flexible structures. Zbl 0672.93039
Curtain, Ruth F.
1988
Spectral realizations for delay systems. Zbl 0646.93014
Curtain, R. F.; Zwart, H. J.
1987
Stochastic models for uncertain flexible systems. Zbl 0631.93069
Curtain, Ruth F.; Kotelenez, Peter
1987
Stochastic bilinear spectral systems. Zbl 0615.60055
Curtain, Ruth F.; Kotelenez, Peter
1987
Invariance concepts in infinite dimensions. Zbl 0602.93037
Curtain, Ruth F.
1986
Finite dimensional compensators for infinite dimensional systems with unbounded input operators. Zbl 0598.93033
Curtain, R. F.; Salamon, D.
1986
Robust stabilization of infinite dimensional systems by finite dimensional controllers. Zbl 0601.93044
Curtain, Ruth F.; Glover, Keith
1986
Controller design for distributed systems based on Hankel-norm approximations. Zbl 0591.93033
Curtain, R. F.; Glover, K.
1986
Disturbance decoupling by measurement feedback with stability for infinite-dimensional systems. Zbl 0591.93032
Curtain, Ruth F.
1986
Balanced realisations for infinite dimensional systems. Zbl 0619.93016
Curtain, Ruth F.; Glover, Keith
1986
Pole assignment for distributed systems by finite-dimensional control. Zbl 0558.93035
Curtain, Ruth F.
1985
On stabilizability of linear spectral systems via state boundary feedback. Zbl 0557.93050
Curtain, Ruth F.
1985
Decoupling in infinite dimensions. Zbl 0565.93038
Curtain, Ruth F.
1985
Finite dimensional compensators for parabolic distributed systems with unbounded control and observation. Zbl 0542.93056
Curtain, Ruth F.
1984
Spectral systems. Zbl 0541.93041
Curtain, Ruth F.
1984
Linear-quadratic control problem with fixed endpoints in infinite dimensions. Zbl 0527.93037
Curtain, R. F.
1984
(C,A,B)-pairs in infinite dimensions. Zbl 0553.93037
Curtain, Ruth F.
1984
...and 32 more Documents
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### Cited by 1,623 Authors

 65 Curtain, Ruth Frances 39 Zwart, Hans J. 31 Guo, Bao-Zhu 25 Partington, Jonathan R. 24 Leiva, Hugo 19 Logemann, Hartmut 18 Sukavanam, Nagarajan 17 Weiss, George 16 Sano, Hideki 16 Sasane, Amol J. 15 Dubljevic, Stevan S. 15 Henríquez, Hernán R. 15 Winkin, Joseph J. 14 Fridman, Emilia 14 Kobayashi, Toshihiro 14 Wang, Junmin 14 Wu, Huaining 13 Iftime, Orest V. 13 Morris, Kirsten A. 12 Jacob, Birgit 12 Paunonen, Lassi 12 Prieur, Christophe 12 Wang, Junwei 11 Aksikas, Ilyasse 11 Balas, Mark J. 11 Boutoulout, Ali 10 Fu, Xianlong 10 Kunisch, Karl 10 Nambu, Takao 10 Opmeer, Mark R. 10 Özbay, Hitay 9 Breiten, Tobias 9 Callier, Frank M. 9 Demetriou, Michael A. 9 Deutscher, Joachim 9 El-Sayed, Ahmed Mohamed Ahmed 9 Krstić, Miroslav 9 Pritchard, Anthony J. 9 Zhou, Hua-Cheng 8 Balachandran, Krishnan 8 Bonnet, Catherine 8 Caraballo Garrido, Tomás 8 Grabowski, Piotr 8 Guiver, Chris 8 Kotelenez, Peter M. 8 Pandey, Dwijendra Narain 8 Shukla, Anurag 8 Tucsnak, Marius 8 Xu, Gen-Qi 7 Da Prato, Giuseppe 7 El Jai, Abdelhaq 7 Glover, Keith 7 Ibiejugba, Matthew A. 7 Ichikawa, Akira 7 Lam, James 7 Mironchenko, Andrii 7 Otsuka, Naohisa 7 Pohjolainen, Seppo A. 7 Rebarber, Richard 7 Staffans, Olof Johan 7 Zerrik, El Hassan 6 Chen, Jianhua 6 Chen, Pengyu 6 Gil’, Michael Iosif 6 Goreac, Dan 6 Hadd, Said 6 Lasiecka, Irena 6 Li, Yongxiang 6 Mahmudov, Nazim Idrisoglu 6 Makila, Pertti M. 6 Meurer, Thomas 6 Michiels, Wim 6 Rabah, Rabah 6 Rosen, I. Gary 6 Singler, John R. 6 Townley, Stuart B. 6 Wakaiki, Masashi 6 Xu, Xiaodong 6 Yang, Kunyi 5 Ahmed, Nasir Uddin 5 Arora, Urvashi 5 Bagchi, Arunabha 5 Bashirov, Agamirza E. 5 Breda, Dimitri 5 Chentouf, Boumediène 5 Cuevas, Claudio 5 Dochain, Denis 5 Emirsajlow, Zbigniew 5 Forbes, J. Fraser 5 Gao, Hang 5 Guo, Faming 5 Immonen, Eero 5 Inaba, Hiroshi 5 Lhachemi, Hugo 5 Li, Hanxiong 5 Macchelli, Alessandro 5 Matignon, Denis 5 Ouzahra, Mohamed 5 Pandolfi, Luciano 5 Pfeiffer, Laurent ...and 1,523 more Authors
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### Cited in 255 Serials

 172 Automatica 167 Systems & Control Letters 89 Journal of Mathematical Analysis and Applications 81 International Journal of Control 50 MCSS. Mathematics of Control, Signals, and Systems 40 SIAM Journal on Control and Optimization 37 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 33 Journal of the Franklin Institute 27 International Journal of Systems Science 26 Journal of Differential Equations 25 Journal of Optimization Theory and Applications 25 European Journal of Control 24 Integral Equations and Operator Theory 22 Applied Mathematics and Computation 20 Applied Mathematics and Optimization 20 Stochastic Analysis and Applications 20 Linear Algebra and its Applications 16 International Journal of Applied Mathematics and Computer Science 16 Mathematical Control and Related Fields 15 International Journal of Robust and Nonlinear Control 15 Abstract and Applied Analysis 14 Stochastics 14 Numerical Functional Analysis and Optimization 14 Journal of Dynamical and Control Systems 13 Evolution Equations and Control Theory 10 Journal of Systems Science and Complexity 9 Journal of Fluid Mechanics 9 Journal of Functional Analysis 9 Journal of Evolution Equations 8 Computers & Mathematics with Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Discrete and Continuous Dynamical Systems. Series B 8 Nonlinear Analysis. Theory, Methods & Applications 7 Mathematical Methods in the Applied Sciences 7 Applied Mathematics Letters 7 Mathematical and Computer Modelling 7 Discrete and Continuous Dynamical Systems 7 Journal of Control Theory and Applications 7 Asian Journal of Control 6 Applicable Analysis 6 Kybernetika 6 Mathematics and Computers in Simulation 6 Circuits, Systems, and Signal Processing 6 Acta Applicandae Mathematicae 6 Mathematical Problems in Engineering 6 Nonlinear Dynamics 5 Computer Methods in Applied Mechanics and Engineering 5 Applied Numerical Mathematics 5 Stochastic Hydrology and Hydraulics 5 Applied Mathematical Modelling 5 Automation and Remote Control 5 International Journal of Computer Mathematics 5 Positivity 5 Advances in Difference Equations 5 Complex Analysis and Operator Theory 5 International Journal of Systems Science. Principles and Applications of Systems and Integration 4 Information Sciences 4 Mathematische Nachrichten 4 Mathematical Systems Theory 4 Numerische Mathematik 4 Quarterly of Applied Mathematics 4 Rendiconti del Seminario Matematico della Università di Padova 4 Optimal Control Applications & Methods 4 Statistics & Probability Letters 4 Cybernetics and Systems Analysis 4 Journal of Mathematical Sciences (New York) 4 Fractional Calculus & Applied Analysis 4 Communications on Pure and Applied Analysis 3 Bulletin of the Australian Mathematical Society 3 Journal of Computational and Applied Mathematics 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Zeitschrift für Analysis und ihre Anwendungen 3 SIAM Journal on Matrix Analysis and Applications 3 Japan Journal of Industrial and Applied Mathematics 3 Stochastic Processes and their Applications 3 Journal of Dynamics and Differential Equations 3 Computational Optimization and Applications 3 Journal of Computer and Systems Sciences International 3 Computational and Applied Mathematics 3 Journal of Vibration and Control 3 Journal of Inequalities and Applications 3 Stochastics and Dynamics 3 African Diaspora Journal of Mathematics 3 Nonautonomous Dynamical Systems 2 Journal of Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Fuzzy Sets and Systems 2 Journal of Soviet Mathematics 2 Kodai Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Results in Mathematics 2 Semigroup Forum 2 Transactions of the American Mathematical Society 2 Applied Mathematics and Mechanics. (English Edition) 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire ...and 155 more Serials
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### Cited in 46 Fields

 1,193 Systems theory; control (93-XX) 339 Partial differential equations (35-XX) 295 Operator theory (47-XX) 213 Ordinary differential equations (34-XX) 177 Calculus of variations and optimal control; optimization (49-XX) 160 Probability theory and stochastic processes (60-XX) 75 Numerical analysis (65-XX) 63 Mechanics of deformable solids (74-XX) 47 Functional analysis (46-XX) 41 Dynamical systems and ergodic theory (37-XX) 38 Fluid mechanics (76-XX) 35 Biology and other natural sciences (92-XX) 31 Integral equations (45-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 24 Mechanics of particles and systems (70-XX) 23 Operations research, mathematical programming (90-XX) 22 Real functions (26-XX) 18 Approximations and expansions (41-XX) 13 Computer science (68-XX) 12 Functions of a complex variable (30-XX) 12 Statistics (62-XX) 9 Difference and functional equations (39-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Information and communication theory, circuits (94-XX) 7 Integral transforms, operational calculus (44-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Number theory (11-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Abstract harmonic analysis (43-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX)

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