Journal
SOFT COMPUTING
Volume 24, Issue 5, Pages 3675-3694Publisher
SPRINGER
DOI: 10.1007/s00500-019-04136-7
Keywords
Event-triggered scheme; Markovian jump parameters; Lyapunov-Krasovskii functional; Linear matrix inequality; Fault-tolerant control; Extended dissipative
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Funding
- Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah [RG-31-130-40]
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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.
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