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

43

Issue

8

fYear

1998

fDate

8/1/1998 12:00:00 AM

Firstpage

1148

Lastpage

1154

Abstract

In the present paper the authors 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. They 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 applications, including control systems, signal processing, and artificial neural networks

Keywords

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

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.704991

Filename

704991