Semiglobal finite‐time synchronization of complex networks with stochastic disturbance via intermittent control

Abstract

Summary This paper focuses on the problem of semiglobal finite‐time synchronization of stochastic complex networks via an intermittent control strategy. By establishing a finite‐time criterion condition and a novel finite‐time ℒ‐operator differential inequality, combined with convex techniques, some sufficient conditions are obtained to ensure finite‐time synchronization for stochastic complex networks with time delays. An effective controller is given to guarantee inner finite‐time synchronization, especially for a nondelayed dynamic system. This paper provides a simple controller. Finally, a numerical simulation is given to demonstrate the effectiveness of our results.

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

“…With the above results and properties of Kronecker production, substitute (22), (23), and (24) into (21), one getṡ…”

“…After that, many researchers pay attention to this control strategy and many large-scale dynamical systems are controlled successfully with the help of intermittent control. So, it can also be applied to realize synchronization of complex dynamical networks [13][14][15][16][17][18][19][20][21][22][23].…”

“…Wang [21] proposed a new differential inequality, dealing with the synchronization problem of complex dynamical network with constant coupling, discrete-delay coupling, and distributed-delay coupling. The synchronization problem of switched complex networks with unstable modes and stochastic complex-valued dynamical networks by aperiodically intermittent adaptive control are discussed in [22,23], respectively.…”

Time‐triggered intermittent control of continuous systems

“…The literature 1 points out that IC can achieve the synchronization between a drive system and a response system by limiting the amount of information to in some situations. Due to its high efficiency, IC has wide applications on stabilization or synchronization issues of linear systems, 2 stochastic systems, 3 nonlinear systems, 4,5 time‐delay systems, 6‐8 chaotic systems, 9‐12 neural networks, 13‐15 and complex networks 16,17 . IC involved in these papers needs to update feedback information continuously on control time intervals.…”

Fault estimation and synchronization control for complex dynamical networks with time‐varying coupling delay

“…In recent years, a great number of fascinating results have been reported related to this issue and various types of synchronization criteria have been developed for CDNs. For example, see References 4‐10 and the references related to them. It should be noted that the existence of time delays, especially in coupling strengths, often affects the synchronous behavior of a CDN.…”