Journal
NEURAL PROCESSING LETTERS
Volume 48, Issue 2, Pages 1161-1174Publisher
SPRINGER
DOI: 10.1007/s11063-017-9770-8
Keywords
Fixed-time synchronization; Discontinuous neural networks; Filippov solutions; State feedback control
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Funding
- National Natural Science Foundation of China (NSFC) [61673078]
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This paper investigates fixed-time synchronization of coupled neural networks with discontinuous activation functions and nonidentical perturbations under the framework of Filippov solution. In order to overcome uncertainties of the Filippov solution and the effects of nonidentical perturbations, 1-norm based techniques are developed. By designing new state feedback controllers, constructing new Lyapunov functional, and utilizing differential inclusion theory, several sufficient conditions are obtained to ensure that the coupled discontinuous neural networks (CDNNs) to be synchronized in a fixed settling time. Results of this paper improve corresponding ones which only finite-time synchronization can be achieved for CDNNs. Finally, numerical simulations are offered to verify the effectiveness of the theoretical analysis.
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