This paper is concerned with the problem of mode dependent H_∞ filter for uncertainty Markovian jump system with neutral delay and retarded time-varying delay. By using free weight matrix (FWM) technique, the stability conditions of delay dependent are obtained under the framework of Lyapunov stability theory. Based on those result, the delay dependent conditions for full order and mode dependent Markovian jump linear filters are gained, which are expressed by Linear matrix inequalities (LMIs). Finally, a numerical example and a PEEC practical example are employed to prove the validity of the results.

中文翻译：

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基于FWM技术的时变时滞中立型系统的模式依赖H∞滤波

本文关注的是模式相关的问题^ h _∞滤波器中立延迟和推迟时间变延迟不确定马尔可夫跳变系统。通过使用自由加权矩阵（FWM）技术，在Lyapunov稳定性理论的框架下获得了依赖于延迟的稳定性条件。基于这些结果，获得了全阶和模式相关的马尔可夫跳跃线性滤波器的时延相关条件，这些条件用线性矩阵不等式（LMI）表示。最后，通过数值算例和PEEC实际算例证明了结果的正确性。