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H_∞ Filtering of Markovian Jumping Neural Networks with Time Delays

机译:时滞马尔可夫跳跃神经网络的H_∞滤波

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This paper focuses on studying the filtering problem of Markovian jumping neural networks with time delays. Based on a stochastic Lyapunov functional, a delay-dependent design criterion is presented under which the resulting filtering error system is stochastically stable and a prescribed H_∞ performance is guaranteed. It is shown that the gain matrices of the desired filter and the optimal performance index are simultaneously obtained by handing a convex optimization problem subject to some coupled linear matrix inequalities, which can be efficiently solved by some standard algorithms.
机译:本文着重研究带时滞的马尔可夫跳跃神经网络的滤波问题。基于随机Lyapunov函数,提出了一种时延相关的设计准则,在该准则下,所得的滤波误差系统是随机稳定的,并保证了规定的H_∞性能。结果表明,通过将凸优化问题置于一些耦合线性矩阵不等式下,可以同时获得所需滤波器的增益矩阵和最佳性能指标,这可以通过一些标准算法有效地解决。

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