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

K. Sivaranjani, M. Sivakumar, S. Dharani, K. Loganathan, Ngawang Ngmgyel and Ndolane Sene

Journal of Mathematics, 2021, vol. 2021, 1-14

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2562227

DOI: 10.1155/2021/2562227

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