The Impact of Coupling Function on Finite‐Time Synchronization Dynamics of Multi‐Weighted Complex Networks with Switching Topology

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.

Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event‐Triggered Control: The Threshold Function Method

“…In order to exclude Zeno behavior, the following theorem shows that the interevent times are lower-bounded by a positive constant in the following theorem. (15), the Zeno behavior can be excluded for all plants in the network, which means that the minimum interevent interval for all plants is lower-bounded by a positive scalar.…”

“…However, there are some networks that cannot be synchronized by their own internal structure; thus, some controllers have been designed to force them to synchronize. Some works have investigated the synchronization of the complex dynamical networks via control strategies in recent years [15][16][17][18]. For example, in [19], the problem of synchronization control of complex dynamical networks subject to nonlinear couplings and uncertainties has been investigated.…”

Intermittent control for synchronization of hybrid multi‐weighted complex networks with reaction‐diffusion effects

“…Compared with single weighted complex networks (SWCNs), the multi-weighted complex networks (MWCNs) can more aptly represent a good number of actual complex networks such as public traffic networks, biological networks, social networks, and so on. 10,11 Taking the social networks as an example, people nowadays can use E-mail, Face-book, mobile phone, and MSN to communicate with others; different way of communication should have different weight. Hence, the nodes in MWCNs are connected by more than one weight.…”

Observer-Based Event-Triggered Circle Formation Control for First- and Second-Order Multiagent Systems

“…In recent years, many research efforts have been devoted to controlling of multiagent systems (MASs) due to both its practical potentials in a variety of applications [1][2][3] and theoretical challenges of physical constraints [4][5][6]. As a significant problem in cooperative control for MASs, formation control, aiming to guide multiple agents to form and maintain predetermined geometries, has attracted considerable interests for its extensive applications in different areas [7][8][9][10].…”