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

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-infinity performance, L-2 - L-infinity performance, passivity and dissipativity, respectively. Finally, interesting numerical examples are given to show the effectiveness of the theoretical results.