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

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 fun...

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Bibliographic Details
Main Authors: Basin, M., Calderon-Alvarez, D.
Format: Conference Proceeding
Language:English
Subjects:
Asymptotic stability
Control systems
Convergence
Delay
Indium tin oxide
Nonlinear control systems
Nonlinear equations
Stochastic processes
Stochastic systems
Vectors
Online Access:Request full text
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Summary: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.
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.2008.4586769