Robust stability of a class of nonlinear time-varying discrete systems

Author

Liu, Derongl ; Molchanov, Alexander

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Illinois Univ., Chicago, IL, USA

Volume

3

fYear

2001

fDate

6-9 May 2001

Firstpage

557

Abstract

This paper studies the problem of robust absolute stability of a class of nonlinear discrete-time systems with time-varying matrix uncertainties of polyhedral type and multiple time-varying sector nonlinearities. By using the variational method and the Lyapunov Second Method, criteria for robust absolute stability are obtained in different forms for the given class of systems. Specifically, we determine the parametric class of Lyapunov functions which defines the necessary and sufficient conditions of robust absolute stability. We apply these Lyapunov functions to derive an algebraic criterion for robust absolute stability in the form of solvability conditions of a set of matrix equations

Keywords

Lyapunov methods; discrete time systems; nonlinear control systems; robust control; time-varying systems; variational techniques; Lyapunov Second Method; Lyapunov functions; algebraic criterion; matrix equations; multiple time-varying sector nonlinearities; nonlinear time-varying discrete systems; parametric class; polyhedral type; robust absolute stability; solvability conditions; time-varying matrix uncertainties; variational method; Lyapunov method; Nonlinear control systems; Nonlinear equations; Robust control; Robust stability; Stability criteria; Sufficient conditions; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921371

Filename

921371