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

fYear

2005

fDate

27-29 June 2005

Firstpage

1263

Lastpage

1268

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation

Conference_Location

Limassol

ISSN

2158-9860

Print_ISBN

0-7803-8936-0

Type

conf

DOI

10.1109/.2005.1467197

Filename

1467197