Stability analysis of systems with partial state saturation nonlinearities

Author

Liu, Derong ; Michel, Anthony N.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Stevens Inst. of Technol., Hoboken, NJ, USA

Volume

43

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

230

Lastpage

232

Abstract

Sufficient conditions for the global asymptotic stability of the equilibrium x_e=0 of discrete-time dynamical systems which have saturation nonlinearities on part of the states are established. We utilize a class of positive definite and radially unbounded Lyapunov functions in establishing our results. When using quadratic form Lyapunov functions, our results involve necessary and sufficient conditions under which positive definite matrices can be used to generate Lyapunov functions for the systems considered herein

Keywords

Lyapunov methods; asymptotic stability; discrete time systems; discrete-time dynamical systems; global asymptotic stability; partial state saturation nonlinearities; positive definite Lyapunov functions; quadratic form Lyapunov functions; radially unbounded Lyapunov functions; stability analysis; Actuators; Asymptotic stability; Digital filters; Lyapunov method; Mechanical systems; Nonlinear equations; Power engineering and energy; Power supplies; Stability analysis; Sufficient conditions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.486447

Filename

486447