Adaptive Aperiodically Intermittent Synchronization for Complex Dynamical Network with Unknown Time‐Varying Outer Coupling Strengths

Abstract

In this paper, exponential synchronization problem of complex dynamical networks with unknown periodically coupling strengths was investigated. An aperiodically intermittent control synchronization strategy is proposed. Based on Lyapunov exponential stability theory, inequality techniques, and adaptive learning laws design, some sufficient exponential synchronization criteria for complex dynamical network with unknown periodical coupling weights are obtained. The numerical simulation example is presented to illustrate the feasibility of theoretical results.

Adaptive Finite Time Stability of Delayed Systems With Applications to Network Synchronization

“…In many cases, the parameters cannot be obtained directly and parameters may also be varying, therefore, a constant control coefficient may be not enough, while adaptive technique can solve this trouble and has been widely used. For example, in [27], the authors realized the adaptive exponential synchronization for AIC. Therefore, if Problem 1 is solved, we would like to propose a more difficult Problem 2: "For delayed systems, can we design a simple adaptive rule, such that FnTSta can be realized?…”

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

“…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.…”