Robust Stability of Polytopic Systems via Affine Parameter-Dependent Lyapunov Functions

Guang-Hong Yang; Jiuxiang Dong

doi:10.1137/060668948

Robust Stability of Polytopic Systems via Affine Parameter-Dependent Lyapunov Functions

SIAM Journal on Control and Optimization ◽

10.1137/060668948 ◽

2008 ◽

Vol 47 (5) ◽

pp. 2642-2662 ◽

Cited By ~ 6

Author(s):

Guang-Hong Yang ◽

Jiuxiang Dong

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Affine Parameter ◽

Polytopic Systems ◽

Parameter Dependent

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Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ◽

10.1109/cdc.2009.5400262 ◽

2009 ◽

Author(s):

Guang-Hong Yang ◽

Jiuxiang Dong

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Affine Parameter ◽

Polytopic Systems ◽

Parameter Dependent

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Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions

Automatica ◽

10.1016/j.automatica.2006.08.024 ◽

2007 ◽

Vol 43 (2) ◽

pp. 309-316 ◽

Cited By ~ 93

Author(s):

G. Chesi ◽

A. Garulli ◽

A. Tesi ◽

A. Vicino

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Time Varying ◽

Polytopic Systems ◽

Parameter Dependent

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Robust stability of polytopic systems via polynomially parameter-dependent Lyapunov functions

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272307 ◽

2004 ◽

Cited By ~ 44

Author(s):

G. Chesi ◽

A. Garulli ◽

A. Tesi ◽

A. Vicino

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Polytopic Systems ◽

Parameter Dependent

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ROBUST STABILITY OF LINEAR TIME-VARYING POLYTOPIC SYSTEMS THROUGH POLYNOMIALLY PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS

IFAC Proceedings Volumes ◽

10.3182/20060705-3-fr-2907.00013 ◽

2006 ◽

Vol 39 (9) ◽

pp. 65-70

Author(s):

V.F. Montagner ◽

R.C.L.F. Oliveira ◽

P.L.D. Peres

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Linear Time ◽

Time Varying ◽

Polytopic Systems ◽

Parameter Dependent

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Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach

IEEE Transactions on Automatic Control ◽

10.1109/tac.2005.843848 ◽

2005 ◽

Vol 50 (3) ◽

pp. 365-370 ◽

Cited By ~ 189

Author(s):

G. Chesi ◽

A. Garulli ◽

A. Tesi ◽

A. Vicino

Keyword(s):

Robust Stability ◽

Lyapunov Functions ◽

Lmi Approach ◽

Polytopic Systems ◽

Parameter Dependent

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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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LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions

Systems & Control Letters ◽

10.1016/j.sysconle.2005.05.003 ◽

2006 ◽

Vol 55 (1) ◽

pp. 52-61 ◽

Cited By ~ 146

Author(s):

Ricardo C.L.F. Oliveira ◽

Pedro L.D. Peres

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Robust Stability Analysis ◽

Parameter Dependent

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Robust Stability Analysis of Grid-Connected Converters Based on Parameter-Dependent Lyapunov Functions

Journal of Control Automation and Electrical Systems ◽

10.1007/s40313-017-0301-7 ◽

2017 ◽

Vol 28 (2) ◽

pp. 159-170

Author(s):

Márcio F. Braga ◽

Cecília F. Morais ◽

Luiz A. Maccari ◽

Eduardo S. Tognetti ◽

Vinicius F. Montagner ◽

...

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Robust Stability Analysis ◽

Grid Connected Converters ◽

Parameter Dependent

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Robust Stability/Performance Analysis for Linear Time-Invariant Polynomially Parameter-Dependent Systems Using Polynomially Parameter-Dependent Lyapunov Functions

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/ve.sicetr1965.43.472 ◽

2007 ◽

Vol 43 (6) ◽

pp. 472-481 ◽

Cited By ~ 1

Author(s):

Masayuki SATO ◽

Dimitri PEAUCELLE

Keyword(s):

Performance Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Linear Time ◽

Linear Time Invariant ◽

Stability Performance ◽

Parameter Dependent ◽

Time Invariant

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Robust stability analysis of discrete-time switched linear systems with stable and unstable subsystems via switching parameter-dependent Lyapunov functions

2016 2nd International Conference on Control, Automation and Robotics (ICCAR) ◽

10.1109/iccar.2016.7486721 ◽

2016 ◽

Author(s):

Qunxian Zheng ◽

Hongbin Zhang

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Robust Stability ◽

Discrete Time ◽

Lyapunov Functions ◽

Switched Linear Systems ◽

Unstable Subsystems ◽

Switching Parameter ◽

Robust Stability Analysis ◽

Parameter Dependent

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