Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 352, Issue 10, Pages 4382-4406Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2015.07.001
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Funding
- National Natural Science Foundation of China (NSFC) [61263020, 61273218, 11461022]
- Natural Science Foundation of Jiangsu Province of China [BK20130017]
- 333 Project Foundation of Jiangsu Province
- Program of Chongqing Innovation Team Project in University [KJTD201308]
- Natural Science Foundation of Scientific and Technical Committee of Chongqing City [cstc2014jcyjA00014]
- Research Foundation for Advanced Talents of Henan University of Technology [31401548]
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This paper is concerned with the finite-time synchronization in an array of coupled neural networks with discontinuous activation functions, discrete and unbounded distributed delays (mixed delays), and normbounded nonidentical perturbations. Under the framework of Filippov solution, we first derive some general sufficient conditions to guarantee the global existence of the solutions to the neural networks with discontinuous activation functions and mixed delays. Then, by designing simple controller, applying some new analytical techniques, and constructing some new Lyapunov-Krasovskii functionals, several sufficient conditions are derived to ensure the finite-time synchronization of the considered networks. Moreover, the setting time is also estimated for the network under study with bounded delays or without delays. In sharp contrast to the existed results which can only finite-timely synchronize or stabilize the non-delayed systems, the theoretical results of this paper are more general and rigorous. Finally, numerical simulations are provided to illustrate the effectiveness of the theoretical analysis. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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