This paper deals with the problem of non-fragile filter for delayed discrete-time Markov jump systems. The purpose is to design a mode-dependent filter such that the result filtering error system is stochastically stable and satisfies a prescribed performance lever . In order to improve the data transmission efficient, an adaptive event-triggered strategy is introduced. Then, with the help of the Lyapunov stability theory and matrix inequality, the sufficient conditions for the solution of the filter design problem proposed are established. Finally, two numerical examples are presented to verification the effectiveness of the proposed method.

中文翻译：

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延迟离散时间马尔可夫跳跃系统的非脆弱[公式省略]滤波：自适应事件触发策略

本文研究了延迟离散时间马尔可夫跳跃系统的非脆弱滤波器问题。目的是设计一个与模式相关的滤波器，使得结果滤波误差系统随机稳定并满足规定的性能水平。为了提高数据传输效率，引入了自适应事件触发策略。然后，借助Lyapunov稳定性理论和矩阵不等式，建立了解决所提出的滤波器设计问题的充分条件。最后，通过两个数值算例验证了所提方法的有效性。