Periodically intermittent controlling for finite-time synchronization of complex dynamical networks
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Date
Authors
Mei, Jun
Jiang, Minghui
Wu, Zhou
Wang, Xiaohong
Journal Title
Journal ISSN
Volume Title
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.
Description
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.