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Finite-time outer synchronization between two complex dynamical networks with time delay and noise perturbation

Zhi-cai Ma;  Yong-zheng Sun;  Hong-jun Shi — 2016

Kybernetika

In this paper, the finite-time stochastic outer synchronization and generalized outer synchronization between two complex dynamic networks with time delay and noise perturbation are studied. Based on the finite-time stability theory, sufficient conditions for the finite-time outer synchronization are obtained. Numerical examples are examined to illustrate the effectiveness of the analytical results. The effect of time delay and noise perturbation on the convergence time are also numerically demonstrated....

Synchronization of time-delayed systems with discontinuous coupling

Hong-jun Shi;  Lian-ying Miao;  Yong-zheng Sun — 2017

Kybernetika

This paper concerns the synchronization of time-delayed systems with periodic on-off coupling. Based on the stability theory and the comparison theorem of time-delayed differential equations, sufficient conditions for complete synchronization of systems with constant delay and time-varying delay are established. Compared with the results based on the Krasovskii-Lyapunov method, the sufficient conditions established in this paper are less restrictive. The theoretical results show that two time-delayed...

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