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

Kemin Zhou; Pramod P. Khargonekar

doi:10.1137/0326070

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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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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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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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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A new variable gain controller for a class of uncertain linear systems via piecewise Lyapunov functions — Less conservative LMI conditions —

IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society ◽

10.1109/iecon.2012.6388798 ◽

2012 ◽

Author(s):

Hidetoshi Oya ◽

Yuji Morishima ◽

Kojiro Hagino

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Variable Gain ◽

Uncertain Linear Systems

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Synthesis of Adaptive Gain Controllers with Adjustable Parameters for a Class of Uncertain Linear Systems via Piecewise Lyapunov Functions

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/ve.sicetr1965.43.909 ◽

2007 ◽

Vol 43 (10) ◽

pp. 909-918 ◽

Cited By ~ 2

Author(s):

Hidetoshi OYA ◽

Kojiro HAGINO ◽

Soseki KAYO

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Uncertain Linear Systems

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Synthesis of Variable Gain Controllers for a Class of Uncertain Linear Systems with State Delays via Piecewise Lyapunov Functions

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.00262 ◽

2011 ◽

Vol 44 (1) ◽

pp. 7426-7431 ◽

Cited By ~ 1

Author(s):

Hidetoshi OYA ◽

Tomohiro KUBO ◽

Kojiro HAGINO

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

Variable Gain ◽

State Delays ◽

Uncertain Linear Systems

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Robust control for uncertain linear systems via polyhedral Lyapunov functions

Proceedings of 32nd IEEE Conference on Decision and Control ◽

10.1109/cdc.1993.325664 ◽

2002 ◽

Cited By ~ 4

Author(s):

F. Blanchini

Keyword(s):

Robust Control ◽

Linear Systems ◽

Lyapunov Functions ◽

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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A new class of universal Lyapunov functions for the control of uncertain linear systems

Proceedings of 35th IEEE Conference on Decision and Control ◽

10.1109/cdc.1996.574629 ◽

2002 ◽

Cited By ~ 11

Author(s):

F. Blanchini ◽

S. Miani

Keyword(s):

Linear Systems ◽

Lyapunov Functions ◽

New Class ◽

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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