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Abstract:In this paper, the finite-time synchronization between two complex dynamical networks via the periodically intermittent adaptive control and periodically intermittent feedback control is studied. The finite-time synchronization criteria are derived based on finite-time stability theory, the differential inequality and the analysis technique. Since the traditional synchronization criteria for some models are improved in the convergence time by using the novel periodically intermittent adaptive control and periodically intermittent feedback control , the results of this paper are important. Numerical examples are finally presented to illustrate the effectiveness and correctness of the theoretical results.

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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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