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

Ricardo C.L.F. Oliveira; Maurício C. de Oliveira; Pedro L.D. Peres

doi:10.1016/j.sysconle.2008.01.006

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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Robust /spl Hscr//sub 2/ filtering for discrete-time uncertain linear systems using parameter-dependent Lyapunov functions

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301) ◽

10.1109/acc.2002.1025287 ◽

2002 ◽

Cited By ~ 13

Author(s):

K.A. Barbosa ◽

C.E. de Souza ◽

A. Trofino

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Lyapunov Functions ◽

Parameter Dependent ◽

Uncertain Linear Systems

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Robust ℋ/sub ∞/ control of uncertain linear systems via parameter-dependent Lyapunov functions

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.912190 ◽

2002 ◽

Cited By ~ 7

Author(s):

C.E. de Souza ◽

A. Trofino ◽

J. de Oliveira

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Parameter Dependent ◽

Uncertain Linear Systems

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Parameter dependent Lyapunov functions for a class of uncertain linear systems: an LMI approach

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) ◽

10.1109/cdc.1999.831273 ◽

2003 ◽

Cited By ~ 4

Author(s):

A.T. Neto

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Lmi Approach ◽

Parameter Dependent ◽

Uncertain Linear Systems

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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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A design method o adaptive compensation inputs for class of uncertain linear systems via piecewise Lyapunov functions

2008 SICE Annual Conference ◽

10.1109/sice.2008.4654753 ◽

2008 ◽

Author(s):

Hidetoshi Oya ◽

Kojiro Hagino ◽

Soseki Kayo

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Design Method ◽

Adaptive Compensation ◽

Uncertain Linear Systems

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On the Stabilization of Uncertain Linear Systems via Bound Invariant Lyapunov Functions

SIAM Journal on Control and Optimization ◽

10.1137/0326070 ◽

1988 ◽

Vol 26 (6) ◽

pp. 1265-1273 ◽

Cited By ~ 10

Author(s):

Kemin Zhou ◽

Pramod P. Khargonekar

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Uncertain Linear Systems

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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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Output feedback control of saturated discrete-time linear systems using parameter-dependent Lyapunov functions

Systems & Control Letters ◽

10.1016/j.sysconle.2007.12.011 ◽

2008 ◽

Vol 57 (11) ◽

pp. 896-903 ◽

Cited By ~ 53

Author(s):

Qian Zheng ◽

Fen Wu

Keyword(s):

Feedback Control ◽

Linear Systems ◽

Discrete Time ◽

Output Feedback ◽

Lyapunov Functions ◽

Output Feedback Control ◽

Parameter Dependent ◽

Time Linear

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On parameter-dependent Lyapunov functions for robust stability of linear systems

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) ◽

10.1109/cdc.2004.1428797 ◽

2004 ◽

Cited By ~ 42

Author(s):

D. Henrion ◽

D. Arzelier ◽

D. Peaucelle ◽

J.-B. Lasserre

Keyword(s):

Linear Systems ◽

Robust Stability ◽

Lyapunov Functions ◽

Parameter Dependent

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Robust filtering of discrete-time linear systems with parameter dependent Lyapunov functions

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) ◽

10.1109/cdc.1999.832843 ◽

2003 ◽

Cited By ~ 6

Author(s):

J.C. Geromel ◽

M.C. de Oliveira ◽

J. Bernussou

Keyword(s):

Linear Systems ◽

Discrete Time ◽

Lyapunov Functions ◽

Robust Filtering ◽

Parameter Dependent ◽

Time Linear

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