Finite-time Stochastic Synchronization Of Dynamic Networks With Nonlinear Coupling Strength Via Quantized Intermittent Control

The research of dynamic network system has always been the focus of scholars,and the corresponding research results have been widely used in information processing,communication security,intelligent control and other fields.With the development of society,the dynamic network system becomes more and more complex,and the purpose of control has become diversified.According to some characteristics of dynamic network,such as weak or interrupted signal,external random perturbations and node coupling.It is necessary to construct an effective controller to realize the system synchronization.The main problem of this paper is the finite-time synchronization of dynamic network system under the influence of complex factors such as nonlinear coupling strength and random perturbations.The main method of this paper is to propose a new lemma.This lemma shows that under the conditions of intermittent stability and unstable inequality,finite-time stability can be achieved under some limited conditions,and the upper limit of stability time can be estimated.Then a simple controller is designed to study the finite-time synchronization of dynamic networks with nonlinear coupling strength and random disturbances under complete intermittent control.Based on T-S fuzzy technology and stochastic theory,the sufficient conditions for the finite-time synchronization of the considered network system are obtained through strict mathematical proof.At the same time,a simulation example is given to verify the theoretical results.The main contributions of this paper are as follows: First,a new lemma is proposed and applied to intermittent synchronization control of network systems.This lemma is applicable to periodic intermittent control and non-periodic intermittent control,and has no special requirements for control interval and non-control interval.In addition,the research results show that the upper time limit for synchronization is closely related to the initial value,control interval and non-control interval of the system,and the estimated time is more accurate.Second,two quantization intermittent controllers without sign function are designed.These controllers not only do not cause chattering,but also greatly save communication resources.Thirdly,Lyapunov direct method and T-S fuzzy technique are used to obtain sufficient conditions expressed by linear matrix inequalities,which are less conservative than the results obtained by ordinary algebraic methods.