Periodically intermittent controlling for finite-time synchronization of complex dynamical networks

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Authors

Mei, Jun
Jiang, Minghui
Wu, Zhou
Wang, Xiaohong

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Publisher

Springer

Abstract

In this paper, we consider finite-time synchronization between two complex dynamical networks by using periodically intermittent control. Based on finite-time stability theory, some novel and effective finitetime synchronization criteria are derived by applying stability analysis technique. The derivative of the Lyapunov function V (t) is smaller than βV (t) (β is an arbitrary positive constant) when no controllers are added into networks. This means that networks can be selfsynchronized without control inputs. As a result, the application scope of synchronization greatly enlarged. Finally, a numerical example is given to verify the effectiveness and correctness of the synchronization criteria.

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Keywords

Complex dynamical networks, Finite-time synchronization, Periodically intermittent control, Lyapunov-Krasovskii functional

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Citation

Mei, J, Jiang, M, Wu, Z & Wang, X 2015, 'Periodically intermittent controlling for finite-time synchronization of complex dynamical networks', Nonlinear Dynamics, vol. 79, no. 1, pp. 295-305.