Finite-time synchronization of delayed dynamical networks via aperiodically intermittent control |
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| Authors: | Mei Liu Haijun Jiang Cheng Hu |
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| Institution: | 1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, PR China;2. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, Henan, P.R. China |
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| Abstract: | In this paper, we concern the finite-time synchronization problem for delayed dynamical networks via aperiodically intermittent control. Compared with some correspondingly previous results, the intermittent control can be aperiodic which is more general. Moreover, by establishing a new differential inequality and constructing Lyapunov function, several useful criteria are derived analytically to realize finite-time synchronization for delay complex networks. Additionally, as a special case, some sufficient conditions ensuring the finite-time synchronization for a class of coupled neural network are obtained. It is worth noting that the convergence time is carefully discussed and does not depend on control widths or rest widths for the proposed aperiodically intermittent control. Finally, a numerical example is given to demonstrate the validness of the proposed scheme. |
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| Keywords: | Corresponding author |
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