Abstract
This paper is not only concerned with the problem of finite‐time synchronization control for a class of nonlinear coupling multi‐weighted complex networks (NCMWCNs) with switching topology but also an attempt at using the derived results and Lyapunov stability theory to study the impact of nonlinear coupling function on finite‐time synchronization dynamics of the raised network model. Firstly, different from the existing related results, based on the existing and new finite‐time theories, two finite‐time synchronization controllers are, respectively, designed to make the considered network achieve finite‐time synchronization. Secondly, according to the obtained results, several finite‐time synchronization dynamics criteria are established to show that nonlinear coupled function and the switching of outer‐coupling matrix are how to impact finite‐time synchronization dynamics. Finally, two illustrated examples are provided to verify the effectiveness of theoretical results proposed in this paper.
Highlights
During recent years, many researchers have paid close attention to synchronization dynamics problems of complex networks because synchronization dynamics is one of the most important collective behavior of complex networks [1,2,3] and many practical systems, including sensor network, communication network, neural networks, social network, and so on [4,5,6], can be modeled by complex networks
Motivated by the above analysis, the main purpose of this paper is to investigate the effect of nonlinear coupling function and outer-coupling matrix switching on finitetime synchronization dynamics for a class of nonlinear coupling multi-weighted complex networks (NCMWCNs) with switching topology based on stability and a novel finitetime theory
C9−CI−1−e(t) C9−CI−2−e(t) and neural networks, this paper mainly emphasizes the impact of nonlinear coupling function and outer-coupling matrix switching on global synchronization dynamics for a class of NCMWCNs with switching topology in finite time
Summary
Many researchers have paid close attention to synchronization dynamics problems of complex networks because synchronization dynamics is one of the most important collective behavior of complex networks [1,2,3] and many practical systems, including sensor network, communication network, neural networks, social network, and so on [4,5,6], can be modeled by complex networks. In [8], pinning synchronization problem is proposed for nonlinear coupling complex networks by Liu and Chen. By making use of pinning control strategies, Kaviarasan et al [9] studied the problem of global synchronization on singular complex dynamical networks with Markovian switching and two additive time-varying delays. Synchronization and passivity dynamics problems on multi-weighted complex networks have aroused an increasing interest of some researchers [16,17,18,19,20,21,22,23]. In [16], Qiu et al made a discussion on finite-time synchronization problem of linear coupling multi-weighted complex networks. Qin et al [17], respectively, investigated global synchronization and H∞
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