Minimax polynomial optimization by using sum of squares relaxation and its application to robust stability analysis of parameter-dependent systems

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 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 ◽

Grid Connected Converters ◽

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 ◽

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

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

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 ◽

Polytopic Systems ◽

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 ◽

Time Varying Systems ◽

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) ◽

Robust stability analysis for parameter dependent systems using full block S-procedure

10.1109/cdc.1998.757879 ◽

2002 ◽

Cited By ~ 10

Author(s):

M. Dettori ◽

C.W. Scherer

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

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 of Single-Parameter Dependent Descriptor Systems

Proceedings of the 44th IEEE Conference on Decision and Control ◽

10.1109/cdc.2005.1582610 ◽

2006 ◽

Cited By ~ 9

Author(s):

R. Sakuwa ◽

Y. Fujisaki

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Single Parameter ◽

Descriptor Systems ◽

A matrix sign function framework for robust stability analysis and parameter-dependent Lyapunov and Riccati equalities

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6426373 ◽

2012 ◽

Cited By ~ 4

Author(s):

Jeremie Guerra ◽

Mohamed Yagoubi ◽

Philippe Chevrel

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Matrix Sign Function ◽

Sign Function ◽

Robust stability analysis of time delay systems: a survey

Annual Reviews in Control ◽

10.1016/s1367-5788(99)00021-8 ◽

1999 ◽

Vol 23 (1) ◽

pp. 185-196 ◽

Cited By ~ 52

Author(s):

V Kharitonov

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Robust Stability ◽

Delay Systems ◽

Time Delay Systems ◽

Robust Stability Analysis