Function projective synchronization between two different complex networks with correlated random disturbances

Abstract

Although function projective synchronization in complex dynamical networks has been extensively studied in the literature, few papers deal with the problem between two different complex networks with correlated random disturbances. In this paper, we present some novel techniques to analyze the problem of synchronization. A probability approach is introduced to obtain an almost sure synchronization criterion. We also present some efficient approaches to analyze the problem of exponential synchronization. For the problem of synchronization in some complex networks, our approaches not only can replace the LaSalle-type theorem but also allow improvements of existing results in the literature. Finally, some numerical examples are provided to demonstrate the effectiveness of the proposed approaches.

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

“…In general, network synchronization refers to the process in which the states of all coupled dynamical systems tend to behave together over time. [11] Over the last several years, researchers have explored a variety of synchronization in CNs, such as complete synchronization, [12] projective synchronization, [13,14] quasi synchronization, [15,16] cluster synchronization, [17][18][19] and exponential synchronization. [20] In engineering applications, due to the requirements of security and efficiency, it is important to know the maximum synchronization time of the network.…”

Synchronization investigation of the network group constituted by the nearest neighbor networks under inner and outer synchronous couplings

“…[14,15] The works about complex network synchronization reported previously focus mainly on the synchronization among all nodes within the network [16][17][18] (so-called inner synchronization) and on the synchronization between two complex networks (so-called outer synchronization). [19][20][21][22] In practice, however, the dynamics characteristics among some subnetworks connected to each other are also needed to analyze in-depth. For example, it is an urgent problem how to obtain the synchronization relationship among local networks or between local network and global network in the all optical com-munication network.…”