Journal
NONLINEAR DYNAMICS
Volume 79, Issue 1, Pages 295-305Publisher
SPRINGER
DOI: 10.1007/s11071-014-1664-y
Keywords
Complex dynamical networks; Finite-time synchronization; Periodically intermittent control; Lyapunov-Krasovskii functional
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Funding
- National Natural Science Foundation of China [61174216, 61273183, 61374085, 11301297, 61374028]
- Doctoral Scientific Research Foundation of China Three Gorges University [0620120132]
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In this paper, we consider finite-time synchronization between two complex dynamical networks using periodically intermittent control. Based on finite-time stability theory, some novel and effective finite-time synchronization criteria are derived by applying stability analysis technique. The derivative of the Lyapunov function V(t) is smaller than beta V(t) (beta is an arbitrary positive constant) when no controllers are added into networks. This means that networks can be self-synchronized without control inputs. As a result, the application scope of synchronization is greatly enlarged. Finally, a numerical example is given to verify the effectiveness and correctness of the synchronization criteria.
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