Stability analysis of stochastic nonlinear switched systems with time‐delay and its application
Liqiang Yao,
Yanna Yin,
Likang Feng
Abstract:This paper studies the stability of stochastic nonlinear time‐delay systems with arbitrary switching and its application. A novel Krasovskii‐type stability theorem is introduced for stochastic nonlinear systems featuring arbitrary switching and time‐delay. Unlike previous results, this stability result removes the restriction that the infinitesimal generator of Lyapunov–Krasovskii functional (i.e.,
) must be negative definite and allows
to be indefinite. As an application, the tracking control is studied fo… Show more
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