This paper deals with the problem of asynchronous filtering for nonhomogeneous Markov jumping systems with deception attacks. To describe the nonhomogeneous Markov process, the polytopic-structure-based transition probabilities (TPs) are introduced. Note that TPs are characterized by time-varying property, which cover the time independent TPs as a special case. Added by a hidden Markov model, the asynchronous phenomenon among the original plant, the quantizer and the filter is revealed. By establishing the Lyapunov functional, a sufficient condition with mean square exponentially stable is acquired. Benefit from the matrix inequality decoupling method, the asynchronous filters with less conservative are achieved. Finally, two examples are presented to show the validity of the obtained strategy.

本文研究了具有欺骗攻击的非齐次马尔可夫跳跃系统的异步滤波问题。为了描述非均质马尔可夫过程，引入了基于多边形结构的转移概率（TPs）。请注意，TP具有随时间变化的特性，在特殊情况下，它涵盖了与时间无关的TP。通过隐藏的马尔可夫模型添加，可以揭示原始设备，量化器和滤波器之间的异步现象。通过建立Lyapunov泛函，获得了均方指数稳定的充分条件。得益于矩阵不等式解耦方法，可以实现保守度较低的异步滤波器。最后，给出两个例子来说明所获得策略的有效性。