On the exponential stability of discrete-time systems with applications in observer design

Author

Aitken, Victor C. ; Schwartz, Howard M.

Author_Institution

Defence Res. Establ. Suffield, Medicine Hat, Alta., Canada

Volume

2

fYear

1994

fDate

29 June-1 July 1994

Firstpage

2196

Abstract

Exponential stability of discrete-time systems, stability domains, and state bounds are obtained with the use of vector norm Lyapunov functions. For linear systems, necessary and sufficient conditions are given for asymptotic stability, and exponential bounds are derived. For nonlinear systems, sufficient conditions for exponential stability also yield a stability domain and exponential bounds. Applications are demonstrated in observer design for uncertain discrete-time nonlinear systems.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; discrete time systems; nonlinear systems; observers; uncertain systems; asymptotic stability; discrete-time systems; exponential stability; linear systems; necessary condition; nonlinear systems; observer design; state bounds; sufficient condition; uncertain system; vector norm Lyapunov functions; Application software; Asymptotic stability; Erbium; Linear systems; Lyapunov method; Nonlinear systems; Observers; Piecewise linear techniques; Sufficient conditions; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.752465

Filename

752465