Journal
NEURAL NETWORKS
Volume 113, Issue -, Pages 79-90Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2018.11.010
Keywords
Finite-time cluster synchronization; Fuzzy cellular neural networks; Discontinuous activation functions; Delays; Markovian switching topology; Non-chattering quantized control
Funding
- National Natural Science Foundation of China (NSFC) [61673078]
- Natural Science Foundation of Chongqing, China [cstc2018jcyjAX0369]
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This paper considers the finite-time cluster synchronization (FTCS) of coupled fuzzy cellular neural networks (FCNNs) with Markovian switching topology, discontinuous activation functions, proportional leakage, and time-varying unbounded delays. Novel quantized controllers without the sign function are designed to avoid the chattering and save communication resources. Under the framework of Filippov solution, several sufficient conditions are derived to guarantee the FTCS by constructing new Lyapunov-Krasovskii functional s and utilizing M-matrix methods. The new analytical techniques skillfully overcome the difficulties caused by time-varying delays and cope with the uncertainties of both Filippov solution and Markov jumping, which enable us determine the settling time explicitly. Numerical simulations demonstrate the effectiveness of the theoretical analysis. (C) 2019 Elsevier Ltd. All rights reserved.
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