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Stochastic dissipativity and passivity analysis for discrete-time neural networks with probabilistic time-varying delays in the leakage term

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  • Nagamani, G.
  • Ramasamy, S.

Abstract

This paper deals with the dissipativity and passivity analysis for discrete-time stochastic neural networks with probabilistic time-varying delays. The main contribution of this paper is to reduce the conservatism of the dissipativity conditions for the considered neural networks by utilizing the reciprocally convex combination approach. This approach is proposed to bound the forward differences of the double and triple summable terms taken in the Lyapunov functional. By introducing a stochastic variable with a Bernoulli distribution, the information of probability distribution of the time-varying delays are considered and transformed into one with deterministic time-varying delays. By employing Lyapunov functional approach, sufficient conditions are derived in terms of linear matrix inequalities to guarantee that the considered neural networks to be strictly (Q,S,R)-γ-dissipative and passive. Finally, numerical examples are given to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Nagamani, G. & Ramasamy, S., 2016. "Stochastic dissipativity and passivity analysis for discrete-time neural networks with probabilistic time-varying delays in the leakage term," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 237-257.
    • Handle: RePEc:eee:apmaco:v:289:y:2016:i:c:p:237-257
    DOI: 10.1016/j.amc.2016.05.004
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    References listed on IDEAS

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    Cited by:

    1. Zhang, Chuan-Ke & He, Yong & Jiang, Lin & Lin, Wen-Juan & Wu, Min, 2017. "Delay-dependent stability analysis of neural networks with time-varying delay: A generalized free-weighting-matrix approach," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 102-120.
    2. Der-Fa Chen & Yi-Cheng Shih & Shih-Cheng Li & Chin-Tung Chen & Jung-Chu Ting, 2020. "Mixed Modified Recurring Rogers-Szego Polynomials Neural Network Control with Mended Grey Wolf Optimization Applied in SIM Expelling System," Mathematics, MDPI, vol. 8(5), pages 1-28, May.
    3. Luo, Tianjiao, 2019. "Stabilization of multi-group models with multiple dispersal and stochastic perturbation via feedback control based on discrete-time state observations," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 396-410.
    4. Shan, Yaonan & She, Kun & Zhong, Shouming & Zhong, Qishui & Shi, Kaibo & Zhao, Can, 2018. "Exponential stability and extended dissipativity criteria for generalized discrete-time neural networks with additive time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 145-168.

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