Research On Consistence Of Impulsive Time-delay Systems Based On Event Triggering

In recent years,multi-agent systems have been widely used in many fields such as distributed sensor networks,distributed UAV formation control,cooperative control and distributed event triggering.received extensive attention from experts and scholars.In a multi-agent system,in order to realize the cooperative control of a multi-agent network,the states of each agent need to be consistent.Consistency has always been a fundamental problem in the study of multi-agent systems,and a wealth of research results have been achieved in recent years.With the progress of the times and the development of science and technology,information processing is becoming more and more complicated,resulting in a huge consumption of resources when processing information,and the event-triggered design can greatly reduce the consumption of communication resources.In this paper,we will study the consistency of event-triggered impulsive time-delay multi-agent systems and impulsive random time-delay multi-agent systems,respectively.Under a certain impulse control triggering rule,by using Lyapunov stability theory and the analysis method of time-delay system stability,the sufficient conditions for the consistency of multi-agent systems are obtained,and an event triggering function is designed,which can effectively Avoid the Zeno phenomenon.Finally,a numerical example is given to illustrate the validity of the results.Chapter 1 we expound the research background and significance under the rules of impulsive time-delay systems and impulsive random time-delay systems;introduces the qualitative research status at home and abroad of impulsive time-delay systems and impulsive random time-delay systems;and the main content.Chapter 2 we mainly introduce some mathematical symbols designed in this paper,and introduces some related algebraic graph theory knowledge and matrix theory for the convenience of readers’ understanding of this paper.Chapter 3 we will study the consistency of event-triggered impulse-delay systems,analyze the internal relationship between event-triggered,impulse,system-delay and system consistency,and study the behavior of a class of event-triggered impulse-delay systems.Consistency issues.By adopting Lyapunov stability theory and time-delay system stability analysis method,the criterion of globally consistent asymptotic stability of impulse time-delay system is studied and obtained.Chapter 4 we transform the event-triggered impulse time-delay system into a class of random impulse time-delay systems.Multi-agent systems are often affected by noise during actual operation.This chapter will consider the Brownian motion driven system.Under the influence of the noise,the sufficient conditions for the consistency of the multi-agent system are obtained by using the Lyapunov stability theory and the analysis method of the time-delay system stability through a certain impulse triggering rule.Chapter 5 we summarize the research results of this paper.At the same time,in view of the shortcomings and deficiencies in the research of this paper,the direction for further research in the future is proposed.