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Generalized synchronization for coupled Markovian neural networks subject to randomly occurring parameter uncertainties

Author

Listed:
  • Liu, Xinmiao
  • Xia, Jianwei
  • Huang, Xia
  • Shen, Hao

Abstract

In this paper, the issue of generalized synchronization for the coupled Markovian neural networks with randomly occurring parameter uncertainties is investigated. The coupling connection topology of such neural networks is assumed to be governed by the Markov process. Moreover, by means of a set of stochastic Bernoulli sequences, the random occurrence of the parameter uncertainties is adequately considered in coupled neural networks. Subsequently, via constructing a proper Lyapunov–Krasovskii functional together with employing some novel inequality techniques, some synchronization criteria are developed to ensure the resulting error system is not only stochastically synchronized, but also satisfies a prescribed generalized dissipative property. Based on these criteria, the gains of the admissible controller are obtained explicitly. Eventually, the practicability of the proposed synchronization scheme is verified via an illustrated example.

Suggested Citation

  • Liu, Xinmiao & Xia, Jianwei & Huang, Xia & Shen, Hao, 2020. "Generalized synchronization for coupled Markovian neural networks subject to randomly occurring parameter uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317340
    DOI: 10.1016/j.physa.2019.123070
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    References listed on IDEAS

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    1. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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    Cited by:

    1. Zhou, Wenjia & Hu, Yuanfa & Liu, Xiaoyang & Cao, Jinde, 2022. "Finite-time adaptive synchronization of coupled uncertain neural networks via intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    2. Mao, Kun & Liu, Xiaoyang & Cao, Jinde & Hu, Yuanfa, 2022. "Finite-time bipartite synchronization of coupled neural networks with uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    3. Vijayakumar, M. & Sakthivel, R. & Mohammadzadeh, Ardashir & Karthick, S.A. & Marshal Anthoni, S., 2021. "Proportional integral observer based tracking control design for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    4. Wang, Xuelian & Xia, Jianwei & Wang, Jing & Wang, Zhen & Wang, Jian, 2020. "Reachable set estimation for Markov jump LPV systems with time delays," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    5. Huang, Yao & Bao, Haibo, 2020. "Master-slave synchronization of complex-valued delayed chaotic Lur’e systems with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 379(C).

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