Title :
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
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;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4586769
