Finite-time synchronization of coupled neural networks via discontinuous controllers |
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Authors: | Jun Shen Jinde Cao |
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Institution: | (1) Department of Mathematics, Southeast University, Nanjing, 210096, China; |
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Abstract: | This paper investigates finite-time synchronization of an array of coupled neural networks via discontinuous controllers.
Based on Lyapunov function method and the discontinuous version of finite-time stability theory, some sufficient criteria
for finite-time synchronization are obtained. Furthermore, we propose switched control and adaptive tuning parameter strategies
in order to reduce the settling time. In addition, pinning control scheme via a single controller is also studied in this
paper. With the hypothesis that the coupling network topology contains a directed spanning tree and each of the strongly connected
components is detail-balanced, we prove that finite-time synchronization can be achieved via pinning control. Finally, some
illustrative examples are given to show the validity of the theoretical results. |
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Keywords: | Neural networks Finite-time synchronization Discontinuous control Pinning control |
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