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中文摘要：
对于一类具有混合随机时滞和丢包的离散非线性网络控制系统,研究其H∞滤波问题。这里混合随机时滞包括网络诱导时滞和离散无限的分布时滞。网络诱导时滞取值于一个有限的集合dk∈{τ1,τ2,…,τq},每个时滞τi（i=1,2,…,q）的发生概率已知。通过构造一个新的Lyapunov泛函,给出保证系统均方渐近稳定并满足一定的H∞性能的滤波器存在的充分性条件,以及使系统镇定的滤波器设计程序。最后通过数值算例仿真,证明本文给出的滤波器设计的有效性。
英文摘要：
The H∞ filtering problem of discrete networked nonlinear systems with mixed random time delays and packet dropouts were investigated. The mixed random time-delays consist of network induced time delay and discrete infinite distributed delays. The network induced time delay dk takes values in a finite set, that is dk∈{τ1,τ2,…,τq}, the occurrence probabilities of the delays τi（i=1, 2, …, q）, are known. By introducing a novel Lyapunov functional, sufficient conditions for the existence of an admissible filter are established, which ensure the asymptotical mean-square stability as well as a prescribed H∞ performance. And the filtering process is also presented. Finally, simulation results show the effectiveness of the proposed filter.
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