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Finite-time stability and stabilization for a class of nonlinear discrete-time descriptor switched systems with time-varying delay

机译：一类具有时变时滞的非线性离散时间切换系统的有限时间稳定性和镇定

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摘要

This paper is concerned with the finite-time stability analysis and state feedback stabilization controller design for a class of nonlinear discrete-time descriptor switched systems with time-varying delay. First, by using the implicit function theorem and constructing a switched Lyapunov functional, sufficient conditions are developed which guarantee that the nonlinear discrete-time descriptor switched system with time-varying delay is regular, causal, has a unique solution in a neighborhood of the equilibrium point, and is uniformly finite-time stable. Then a delay-dependent condition on the existence of a finite-time state feedback controller is proposed. Finally, two numerical examples are given to show the effectiveness of the proposed methods.
机译：本文涉及一类具有时变时滞的非线性离散时间描述符切换系统的有限时间稳定性分析和状态反馈稳定控制器的设计。首先，通过使用隐函数定理并构造一个切换的Lyapunov泛函，开发了充分的条件，以保证具有时变时滞的非线性离散时间描述符切换系统是正规的，因果的，并且在平衡附近具有唯一的解。点，并且一致地是有限时间稳定的。然后提出了关于时滞状态反馈控制器存在的时滞相关条件。最后，给出了两个数值例子，说明了所提方法的有效性。

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