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Exponential H∞ synchronization and anti-synchronization of delayed discrete-time complex-valued neural networks with uncertainties

Author

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  • Priyanka, K. Sri Raja
  • Soundararajan, G.
  • Kashkynbayev, Ardak
  • Nagamani, G.

Abstract

This paper investigates the problem of exponential synchronization and anti-synchronization for uncertain discrete-time neural networks (NNs) having time-varying delays with H∞ performance in complex domain. An output-feedback controller is utilized not only to guarantee the synchronization criteria between the addressed discrete-time complex-valued neural networks (CVNNs) but also to reduce the effect of external disturbance. In order to assure the anti-synchronization criteria with H∞ performance for the proposed CVNNs, we have introduced the output-feedback controller by anti-synchronization error analysis. With the help of Lyapunov–Krasovskii functional (LKF), some linear matrix inequality (LMI) based sufficient conditions are derived for both synchronization and anti-synchronization criteria which can be validated through YALMIP toolbox in MATLAB software. At last, a numerical simulation result is provided to verify the correctness of the established theoretical results.

Suggested Citation

  • Priyanka, K. Sri Raja & Soundararajan, G. & Kashkynbayev, Ardak & Nagamani, G., 2023. "Exponential H∞ synchronization and anti-synchronization of delayed discrete-time complex-valued neural networks with uncertainties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 301-321.
    • Handle: RePEc:eee:matcom:v:207:y:2023:i:c:p:301-321
    DOI: 10.1016/j.matcom.2023.01.002
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    References listed on IDEAS

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