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Event-Triggered μ-state estimation for Markovian jumping neural networks with mixed time-delays

Author

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  • Zou, Cong
  • Li, Bing
  • Liu, Feiyang
  • Xu, Bingrui

Abstract

In this paper, the issue of event-triggered μ-state estimation is addressed for a class of Markovian jumping neural networks (MJNNs) with mixed delays. The mixed delays involve both the infinitely distributed delay and the time-varying delay without requiring the upper bound, which has a distinction in existing conclusions and makes the model be more comprehensive. An event-triggered mechanism (ETM) with mode dependence is adopted to determine the appropriate updating instants of measurement outputs so as to alleviate the transmission of signals. By constructing a novel time-varying L-K functional with a general convergency rate and employing several analysis techniques, a sufficient criterion is obtained for ensuring the stochastic μ-stability performance of error system, which is a more general stability performance including exponential stability, power stability as well as logarithmic stability as its special cases. Finally, three numerical examples are listed to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Zou, Cong & Li, Bing & Liu, Feiyang & Xu, Bingrui, 2022. "Event-Triggered μ-state estimation for Markovian jumping neural networks with mixed time-delays," Applied Mathematics and Computation, Elsevier, vol. 425(C).
    • Handle: RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001424
    DOI: 10.1016/j.amc.2022.127056
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    References listed on IDEAS

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    Cited by:

    1. Li, Xin & Cheng, Kaijie & Zhu, Liangkuan & Wei, Guoliang, 2023. "Outlier-resistant interval observer design for multirate time-delayed systems under the adaptive event-triggered protocols," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    2. Saravanan Shanmugam & Rajarathinam Vadivel & Nallappan Gunasekaran, 2023. "Finite-Time Synchronization of Quantized Markovian-Jump Time-Varying Delayed Neural Networks via an Event-Triggered Control Scheme under Actuator Saturation," Mathematics, MDPI, vol. 11(10), pages 1-24, May.

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