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The paper investigates the adaptive globally exponentially synchronization of nonlinearly coupled complex dynamical networks with non-delayed and delayed coupling, which can reflect a more realistic dynamical behavior of coupled systems in practice. Based on Lyapunov stability theory, several novel adaptive globally exponentially synchronization criteria are obtained. Analytical results show that...
In this letter, we provide a simply approximate formula for estimating the detailed number of pinning nodes and a novel pinning synchronization criteria are obtained for a given general complex dynamical network. By using eigenvalues of the minor matrix of inner-coupling matrix and Schur lemma, we can reduce the gain factor of the controller. Previous results about symmetric coupling matrix are included...
This paper is concerned with carrying out synchronization between two completely different complex dynamical networks, which is called generalized outer synchronization. Our objective is to develop a control scheme so as to achieve this generalized outer synchronization. The derived result is built upon Barbalat's Lemma. It is shown that when two complex dynamical networks to be synchronized have...
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