Asymptotic stability of systems with saturation constraints

Author

Hou, Ling ; Michel, Anthony N.

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN, USA

Volume

3

fYear

1996

fDate

11-13 Dec 1996

Firstpage

2624

Abstract

In the present paper we establish new sufficient conditions for the global asymptotic stability of linear systems operating on the unit hypercube in Rⁿ and of linear systems with partial state saturation constraints. We also determine a set of necessary and sufficient conditions for the global asymptotic stability of second order linear systems with saturation constraints on both states using the above results. Systems of the type considered herein are widely used in several areas of application, including control systems, signal processing, and artificial neural networks

Keywords

asymptotic stability; stability criteria; artificial neural networks; control systems; global asymptotic stability; linear systems; necessary and sufficient conditions; partial state saturation constraints; second-order linear systems; signal processing; unit hypercube; Artificial neural networks; Asymptotic stability; Control systems; Differential equations; Eigenvalues and eigenfunctions; Hypercubes; Linear systems; Lyapunov method; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.573499

Filename

573499