4.6 Article

State estimation for neural networks with Markov-based nonuniform sampling: The partly unknown transition probability case

期刊

NEUROCOMPUTING
卷 357, 期 -, 页码 261-270

出版社

ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2019.04.065

关键词

Discrete-time neural networks; Exponentially ultimately bounded; Markov chain; Nonuniform sampling; Partly unknown transition probabilities

资金

  1. National Natural Science Foundation of China [61873059]
  2. Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning of China
  3. Natural Science Foundation of Shanghai [18ZR1401500]

向作者/读者索取更多资源

In this paper, the state estimation problem is investigated for a class of discrete-time delayed neural networks. The measurements, before they are received by the state estimator, are sampled and the sampling process is modeled by a Markov chain. In order to cater for more practical engineering, the transition probabilities of the Markov chain are considered to be partially available. A mode-dependent full-order state estimator is constructed and a sufficient condition is obtained under which the estimation error dynamics is exponentially ultimately bounded in the mean square. Meanwhile, an ultimate bound of the estimation error is estimated by seeking a root of an elementary equation. Subsequently, the desired estimators are designed in terms of the solution to a set of linear matrix inequalities. Finally, a numerical simulation example is presented and the desired estimator parameters are solved by using the Matlab toolboxes. The simulation illustrates the effectiveness of the proposed state estimation scheme. (C) 2019 Elsevier B.V. All rights reserved.

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