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Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems

Author

Listed:
  • K. Sivaranjani
  • M. Sivakumar
  • S. Dharani
  • K. Loganathan
  • Ngawang Ngmgyel
  • NDOLANE SENE

Abstract

This study discusses the synchronization problem for delayed neural networks with semi-Markovian jumping parameters. With the support of Jenson’s inequality and Writinger-based integral inequality, a suitable Lyapunov–Krasovskii functional was constructed, and a synchronization criterion for the considered system was derived in the form of LMIs. In order to cope with system uncertainties, the nonfragile controller was taken into account. Also, sampled-data controller is used to improve the effectiveness of the bandwidth usage. In order to achieve the benefits of both control techniques, the nonfragile sampled-data controller was considered for synchronization of semi-Markovian jumping neural networks and to assure that the error system is asymptotically stable. At last, numerical simulations are exhibited to validate the proposed technique.

Suggested Citation

  • K. Sivaranjani & M. Sivakumar & S. Dharani & K. Loganathan & Ngawang Ngmgyel & NDOLANE SENE, 2021. "Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems," Journal of Mathematics, Hindawi, vol. 2021, pages 1-14, October.
    • Handle: RePEc:hin:jjmath:2562227
    DOI: 10.1155/2021/2562227
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