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Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching

机译：异步切换下随机切换非线性系统的鲁棒可靠稳定

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摘要

This paper is concerned with the problem of robust reliable control for a class of uncertain stochastic switched nonlinear systems under asynchronous switching, where the switching instants of the controller experience delays with respect to those of the system. A design scheme for the reliable controller is proposed to guarantee almost surely exponential stability for stochastic switched systems with actuator failures, and the dwell time approach is utilized for the stability analysis. Then the approach is extended to take into account stochastic switched system with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is employed to verify the proposed method.
机译：本文涉及一类不确定的随机切换非线性系统在异步切换下的鲁棒可靠控制问题，其中控制器的切换时刻相对于系统的切换时刻存在延迟。提出了一种可靠的控制器设计方案，以保证具有执行器故障的随机切换系统几乎可以保证指数稳定性，并采用保压时间方法进行稳定性分析。然后将该方法扩展为考虑具有Lipschitz非线性和结构不确定性的随机切换系统。最后，通过数值算例验证了该方法的有效性。

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