Discretization of Lyapunov functional for uncertain time-delay systems

Author

Gu, Keqin

Author_Institution

Dept. of Mech. & Ind. Eng., Edwardsville Univ., IL, USA

Volume

1

fYear

1997

fDate

4-6 Jun 1997

Firstpage

505

Abstract

The stability problem of uncertain time-delay systems is considered using a quadratic Lyapunov functional. The kernel of the Lyapunov functional is a vector valued function of two variables in a square domain. The domain is divided into a mesh of uniform triangles, and the kernel is chosen to be a continuous and piecewise second order polynomial. As a result, the stability criterion can be written in the form of a linear matrix inequality. The maximum time-delay for stability can also be directly calculated, and various extensions are possible

Keywords

Lyapunov methods; delay systems; matrix algebra; stability; stability criteria; uncertain systems; discretization; kernel; linear matrix inequality; maximum time-delay; piecewise second order polynomial; quadratic Lyapunov functional; stability criterion; uncertain time-delay systems; uniform triangles; vector valued function; Control systems; Delay systems; Industrial engineering; Kernel; Large-scale systems; Linear matrix inequalities; Polynomials; Stability criteria; State feedback; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.611850

Filename

611850