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首页> 外文会议>Chinese Control and Decision Conference >Stability and Stabilization for Nonlinear Discrete-time Singular Markov Jump Systems with Time-varying Delay Stability and Stabilization for Nonlinear Discrete-time Singular Markov Jump Systems with Time-varying Delay
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Stability and Stabilization for Nonlinear Discrete-time Singular Markov Jump Systems with Time-varying Delay Stability and Stabilization for Nonlinear Discrete-time Singular Markov Jump Systems with Time-varying Delay

机译：时滞非线性离散时间奇异Markov跳跃系统的稳定性和镇定

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摘要

In this paper,stability and state feedback stabilization for nonlinear discrete-time singular Markov jump sys- tems with time-varying delay is discussed.Based on Lyapunov theory and the implicit function theorem.a linear matrix inequality (LMI) sufficient condition is developed which guarantees that the nonlinear discrete-time singular Markov jump systems with time-varying delay are regular,causal,have unique solution in a neighborhood of the equilibrium point,and are stochastically stable.Then,in order to facilitate the design of the controller,based on this stability con- dition,by using a series of matrix inequalities,another LMI stability condition is obtained.and the design method of state feedback controllers is given.Last,a numerical example is given to show the effectiveness and correctness of the proposed method.
机译：本文讨论了具有时变时滞的非线性离散时间奇异马尔可夫跳跃系统的稳定性和状态反馈镇定。基于Lyapunov理论和隐函数定理，建立了线性矩阵不等式（LMI）的充分条件保证了具有时变时滞的非线性离散时间奇异Markov跳跃系统是正规的，因果的，在平衡点附近具有唯一的解并且是随机稳定的。在这种稳定性条件下，利用一系列矩阵不等式，获得了另一种LMI稳定性条件，并给出了状态反馈控制器的设计方法。最后，通过数值算例说明了该方法的有效性和正确性。 。

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