Stability analysis for linear systems under State constraints

Author

Fang, Haijun ; Lin, Zongli

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA

Volume

49

Issue

6

fYear

2004

fDate

6/1/2004 12:00:00 AM

Firstpage

950

Lastpage

955

Abstract

This note revisits the problem of stability analysis for linear systems under state constraints. New and less conservative sufficient conditions are identified under which such systems are globally asymptotically stable. Based on these sufficient conditions, iterative linear matrix inequality (LMI) algorithms are proposed for testing global asymptotic stability of the system. In addition, these iterative LMI algorithms can be adapted for the design of globally stabilizing state feedback gains.

Keywords

asymptotic stability; iterative methods; linear matrix inequalities; linear systems; nonlinear control systems; state feedback; global asymptotic stability; iterative linear matrix inequality; linear systems; nonlinear systems; stability analysis; state constraints; state feedback gains; Algorithm design and analysis; Asymptotic stability; Hypercubes; Iterative algorithms; Linear matrix inequalities; Linear systems; Stability analysis; State feedback; Sufficient conditions; System testing; Nonlinear systems; stability; state constraints; state saturation;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2004.829614

Filename

1304917