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

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

doi:10.1016/j.sysconle.2005.05.003

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 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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Parameter-dependent Lyapunov functions for robust stability analysis of time-varying systems in polytopic domains

2007 American Control Conference ◽

10.1109/acc.2007.4282744 ◽

2007 ◽

Cited By ~ 2

Author(s):

Ricardo C. L. F. Oliveira ◽

Mauricio C. de Oliveira ◽

Pedro L. D. Peres

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Time Varying ◽

Robust Stability Analysis ◽

Time Varying Systems ◽

Parameter Dependent

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A NEW APPROACH TO THE SYNTHESIS OF PARAMETER DEPENDENT LYAPUNOV FUNCTIONS FOR ROBUST STABILITY ANALYSIS: WITH APPLICATION

Theory and Practice of Control and Systems ◽

10.1142/9789814447317_0086 ◽

1999 ◽

Author(s):

F. AMATO ◽

G. CELENTANO

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

New Approach ◽

Robust Stability Analysis ◽

Parameter Dependent

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A Convex Condition for Robust Stability Analysis via Polyhedral Lyapunov Functions

SIAM Journal on Control and Optimization ◽

10.1137/110796479 ◽

2012 ◽

Vol 50 (1) ◽

pp. 490-506 ◽

Cited By ~ 2

Author(s):

R. Ambrosino ◽

M. Ariola ◽

F. Amato

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Robust Stability Analysis ◽

Convex Condition

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A procedure for robust stability analysis of discrete-time systems via polyhedral Lyapunov functions

2008 American Control Conference ◽

10.1109/acc.2008.4587143 ◽

2008 ◽

Cited By ~ 3

Author(s):

Francesco Amato ◽

Roberto Ambrosino ◽

Marco Ariola ◽

Alessio Merola

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Discrete Time ◽

Lyapunov Functions ◽

Discrete Time Systems ◽

Robust Stability Analysis ◽

Time Systems

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Parameter-dependent Lyapunov function approach to robust stability analysis for discrete-time descriptor polytopic systems

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

10.1109/cdc.2009.5399769 ◽

2009 ◽

Cited By ~ 1

Author(s):

Xiangyu Gao ◽

Guang-Ren Duan ◽

Xian Zhang

Keyword(s):

Stability Analysis ◽

Lyapunov Function ◽

Robust Stability ◽

Discrete Time ◽

Function Approach ◽

Robust Stability Analysis ◽

Polytopic Systems ◽

Parameter Dependent

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Robust stability analysis and controller design with quadratic Lyapunov functions

Lecture Notes in Control and Information Sciences - Variable Structure and Lyapunov Control ◽

10.1007/bfb0033684 ◽

2005 ◽

pp. 181-203 ◽

Cited By ~ 19

Author(s):

Martin Corless

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Controller Design ◽

Quadratic Lyapunov Functions ◽

Robust Stability Analysis

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A team algorithm for robust stability analysis and control design of uncertain time-varying linear systems using piecewise quadratic Lyapunov functions

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.558 ◽

2001 ◽

Vol 11 (4) ◽

pp. 357-371 ◽

Cited By ~ 26

Author(s):

H. L. S. Almeida ◽

A. Bhaya ◽

D. M. Falcão ◽

E. Kaszkurewicz

Keyword(s):

Stability Analysis ◽

Linear Systems ◽

Robust Stability ◽

Lyapunov Functions ◽

Control Design ◽

Time Varying ◽

Quadratic Lyapunov Functions ◽

Robust Stability Analysis ◽

Uncertain Time ◽

And Control

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Homogeneous Polynomial Lyapunov Functions for Robust Stability Analysis of LFR Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)35683-5 ◽

2003 ◽

Vol 36 (11) ◽

pp. 317-322 ◽

Cited By ~ 1

Author(s):

G. Chesi ◽

A. Garulli ◽

A. Vicino ◽

A. Tesi

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Lyapunov Functions ◽

Homogeneous Polynomial ◽

Robust Stability Analysis

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