Title :
Multi-Parameter Dependent Lyapunov Functions for the Stability Analysis of Parameter-Dependent LTI Systems
Author :
Zhang, X. ; Tsiotras, P. ; Bliman, P.-A.
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA
Abstract :
In this paper it is shown that robust stability of multiparameter affinely-dependent LTI systems is equivalent to the existence of a multi-parameter polynomially-dependent quadratic Lyapunov function of known, bounded degree in terms of the system parameters. Testing the stability of multi-parameter dependent LTI systems over a compact, connected set can be cast in terms of two finite-dimensional linear matrix inequalities (LMIs)
Keywords :
Lyapunov methods; control system analysis; linear matrix inequalities; linear systems; multivariable control systems; polynomials; robust control; finite-dimensional linear matrix inequalities; multiparameter affinely-dependent LTI systems; multiparameter polynomially-dependent quadratic Lyapunov function; parameter-dependent LTI systems; robust stability; stability analysis; Aerospace engineering; Asymptotic stability; Linear matrix inequalities; Lyapunov method; Polynomials; Robust stability; Stability analysis; Stability criteria; System testing; Vectors;
Conference_Titel :
Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation
Conference_Location :
Limassol
Print_ISBN :
0-7803-8936-0
DOI :
10.1109/.2005.1467197
