Delay-dependent stability for vector nonlinear stochastic systems with multiple state delays

Author

Basin, Michael ; Calderon-Alvarez, Dario

Author_Institution

Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, Leon

fYear

2008

fDate

11-13 June 2008

Firstpage

1899

Lastpage

1904

Abstract

Global asymptotic stability conditions for vector nonlinear stochastic systems with multiple state delays are obtained based on the convergence theorem for semimartingale inequalities, without assuming the Lipschitz conditions for nonlinear drift functions. The Lyapunov-Krasovskii and degenerate functionals techniques are used. The derived stability conditions are directly expressed in terms of the system coefficients. Nontrivial examples of nonlinear systems satisfying the obtained stability conditions are given.

Keywords

asymptotic stability; delays; nonlinear control systems; nonlinear differential equations; stochastic processes; stochastic systems; convergence theorem; delay-dependent stability; global asymptotic stability condition; multiple state delays; nonlinear drift functions; semimartingale inequalities; vector nonlinear stochastic systems; Asymptotic stability; Control systems; Convergence; Delay; Indium tin oxide; Nonlinear control systems; Nonlinear equations; Stochastic processes; Stochastic systems; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2008

Conference_Location

Seattle, WA

ISSN

0743-1619

Print_ISBN

978-1-4244-2078-0

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2008.4586769

Filename

4586769