Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis

W.M. Haddad; D.S. Bernstein

doi:10.1109/9.376077

Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis

IEEE Transactions on Automatic Control ◽

10.1109/9.376077 ◽

1995 ◽

Vol 40 (3) ◽

pp. 536-543 ◽

Cited By ~ 98

Author(s):

W.M. Haddad ◽

D.S. Bernstein

Keyword(s):

Lyapunov Functions ◽

Robust Analysis ◽

Analysis And Synthesis ◽

Parameter Dependent

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Parameter-Dependent Lyapunov Functions and the Discrete-Time Popov Criterion for Robust Analysis and Synthesis

1992 American Control Conference ◽

10.23919/acc.1992.4792137 ◽

1992 ◽

Author(s):

Wassim M. Haddad ◽

Dennis S. Bernstein

Keyword(s):

Discrete Time ◽

Lyapunov Functions ◽

Robust Analysis ◽

Analysis And Synthesis ◽

Parameter Dependent

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Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis. I

[1991] Proceedings of the 30th IEEE Conference on Decision and Control ◽

10.1109/cdc.1991.261555 ◽

2002 ◽

Cited By ~ 20

Author(s):

W.M. Haddad ◽

D.S. Bernstein

Keyword(s):

Parameter Uncertainty ◽

Lyapunov Functions ◽

Real Parameter ◽

Robust Analysis ◽

Analysis And Synthesis ◽

Parameter Dependent ◽

Real Parameter Uncertainty

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Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis. 2

[1991] Proceedings of the 30th IEEE Conference on Decision and Control ◽

10.1109/cdc.1991.1334805 ◽

2005 ◽

Cited By ~ 2

Author(s):

W.M. Haddad ◽

D.S. Bernstein

Keyword(s):

Parameter Uncertainty ◽

Lyapunov Functions ◽

Real Parameter ◽

Robust Analysis ◽

Analysis And Synthesis ◽

Parameter Dependent ◽

Real Parameter Uncertainty

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Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions

Systems & Control Letters ◽

10.1016/j.sysconle.2008.01.006 ◽

2008 ◽

Vol 57 (8) ◽

pp. 680-689 ◽

Cited By ~ 54

Author(s):

Ricardo C.L.F. Oliveira ◽

Maurício C. de Oliveira ◽

Pedro L.D. Peres

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Robust Analysis ◽

Parameter Dependent ◽

Uncertain Linear Systems

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Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions

IEEE Transactions on Automatic Control ◽

10.1109/9.508913 ◽

1996 ◽

Vol 41 (7) ◽

pp. 1041-1046 ◽

Cited By ~ 288

Author(s):

E. Feron ◽

P. Apkarian ◽

P. Gahinet

Keyword(s):

Robust Control ◽

Control Systems ◽

Lyapunov Functions ◽

Analysis And Synthesis ◽

Parameter Dependent ◽

Robust Control Systems

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Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis

Automatica ◽

10.1016/0005-1098(94)90195-3 ◽

1994 ◽

Vol 30 (6) ◽

pp. 1015-1021 ◽

Cited By ~ 46

Author(s):

Wassim M. Haddad ◽

Dennis S. Bernstein

Keyword(s):

Discrete Time ◽

Lyapunov Functions ◽

Robust Analysis ◽

Parameter Dependent

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Analysis and synthesis of reliable flight control systems via parameter-dependent Lyapunov functions

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1177/095965180421800602 ◽

2004 ◽

Vol 218 (6) ◽

pp. 433-450

Author(s):

F Liao ◽

J L Wang

Keyword(s):

Control Systems ◽

Flight Control ◽

Lyapunov Functions ◽

Analysis And Synthesis ◽

Parameter Dependent

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Analysis and Synthesis of Robust Control Systems Using Linear Parameter Dependent Lyapunov Functions

IEEE Transactions on Automatic Control ◽

10.1109/tac.2006.884958 ◽

2006 ◽

Vol 51 (12) ◽

pp. 1984-1989 ◽

Cited By ~ 57

Author(s):

Jos C. Geromel ◽

Rubens H. Korogui

Keyword(s):

Robust Control ◽

Control Systems ◽

Lyapunov Functions ◽

Linear Parameter ◽

Analysis And Synthesis ◽

Parameter Dependent ◽

Robust Control Systems

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H2 analysis for LPV systems by parameter-dependent Lyapunov functions

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnr026 ◽

2011 ◽

Vol 29 (1) ◽

pp. 63-78 ◽

Cited By ~ 5

Author(s):

N. Aouani ◽

S. Salhi ◽

M. Ksouri ◽

G. Garcia

Keyword(s):

Lyapunov Functions ◽

Lpv Systems ◽

Parameter Dependent

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On parameter-dependent Lyapunov functions for robust fault detection filter design with application in power systems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2012.05.005 ◽

2012 ◽

Vol 349 (7) ◽

pp. 2389-2405 ◽

Cited By ~ 4

Author(s):

Shiyun Xu ◽

Yong Tang ◽

Huadong Sun ◽

Bing Zhao ◽

Zhan-Ming Chen

Keyword(s):

Fault Detection ◽

Power Systems ◽

Lyapunov Functions ◽

Filter Design ◽

Fault Detection Filter ◽

Robust Fault Detection ◽

Parameter Dependent ◽

Detection Filter

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