A stability criterion for discrete nonlinear systems with time delayed feedback

Author

Yang, Xueshan ; Stepanenko, Yury

Author_Institution

Dept. of Mech. Eng., Victoria Univ., BC, Canada

Volume

39

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

585

Lastpage

589

Abstract

A new criterion on the non-Lyapunov method of stability analysis is developed for a large class of discrete time nonlinear systems. The amenable class is broad and includes systems mainly encountered in practice, for example, all plants described by functions of Lipschitz class, linear, bilinear, and polynomial functions, etc. Unlike other publications on the stability of discrete nonlinear systems, the authors consider the output feedback with time delays, and the control law from a broader class of functions. The derived sufficient criterion is simple and easily applicable

Keywords

discrete time systems; feedback; nonlinear control systems; stability; Lipschitz class functions; bilinear functions; control law; discrete time nonlinear systems; linear functions; non-Lyapunov method; output feedback; polynomial functions; stability criterion; time delayed feedback; Circuit stability; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Feedback; Nonlinear systems; Polynomials; Stability analysis; Stability criteria; Symmetric matrices;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.280765

Filename

280765