Sampled-data state estimation of Markovian jump static neural networks with interval time-varying delays

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摘要

In this paper, we consider the problem of sampled-data state estimation of Markovian jump delayed static neural networks. By constructing a suitable Lyapunov–Krasovskii functional with double and triple integral terms and using Jensen inequality, delay-dependent criteria are presented so that the error system is asymptotically stable. Instead of the continuous measurement, the sampled measurement is employed to estimate the neuron states. It is further demonstrated that the configuration of the gain matrix of state estimator is changed to find a feasible solution of a linear matrix inequalities, which is efficiently facilitated by available algorithms. Finally, two numerical examples are given to illustrate the usefulness and effectiveness of the proposed theoretical results.

论文关键词:Lyapunov method,Linear matrix inequality,Static neural networks,Sample-data control,Time-varying delays

论文评审过程:Received 28 September 2016, Revised 7 March 2018, Available online 7 May 2018, Version of Record 21 May 2018.

论文官网地址:https://doi.org/10.1016/j.cam.2018.03.047