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Extended dissipativity and event-triggered synchronization for T–S fuzzy Markovian jumping delayed stochastic neural networks with leakage delays via fault-tolerant control

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Abstract

This paper concentrates on the extended dissipativity and event-triggered synchronization for T–S fuzzy Markovian jumping delayed stochastic neural networks with leakage delays and fault-tolerant control. We present an event-triggered communication scheme, which utilizes the effect of transmission delay with different failure rates. After giving a foundation to the stochastic model, the paper establishes some fundamental results on quadratically stable and extended dissipativity utilizing the Lyapunov functional, free-weight matrices, as well as the relationship between time-varying delay and leakage delays. The explicit expression of the desired controller gains and event-triggered parameters can be obtained by solving the established LMIs. The novel extended dissipative inequality contains several weighting matrices, by converting the weighting matrices in a new performance index, and the extended dissipativity will be degraded to the \(H_{\infty }\) performance, \(L_2-L_{\infty }\) performance, passivity and dissipativity, respectively. Finally, interesting numerical examples are given to show the effectiveness of the theoretical results.

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Acknowledgements

This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under Grant No. RG-31-130-40. The authors, therefore, acknowledge the DSR technical and financial support.

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Authors and Affiliations

  1. Department of Mathematics, Thiruvalluvar University, Serkkadu, Vellore, Tamil Nadu, 632115, India

    M. Syed Ali & R. Vadivel

  2. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah, 21589, Saudi Arabia

    Ahmed Alsaedi & Bashir Ahmad

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  1. M. Syed Ali
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  2. R. Vadivel
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  3. Ahmed Alsaedi
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  4. Bashir Ahmad
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Correspondence to M. Syed Ali.

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Communicated by V. Loia.

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Ali, M.S., Vadivel, R., Alsaedi, A. et al. Extended dissipativity and event-triggered synchronization for T–S fuzzy Markovian jumping delayed stochastic neural networks with leakage delays via fault-tolerant control. Soft Comput 24, 3675–3694 (2020). https://doi.org/10.1007/s00500-019-04136-7

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