{"title":"基于事件的随机lyapunov型定理及其在领导-跟随多智能体系统中的应用","authors":"Zunjie Yu , Weihai Zhang , Qingpeng Meng , Chao Guo","doi":"10.1016/j.ins.2025.122622","DOIUrl":null,"url":null,"abstract":"<div><div>Based on the event-triggered mechanism, we establish a stochastic Lyapunov-type theorem for stochastic impulsive systems and discuss stability in probability of such systems. In particular, this mechanism does not require real-time monitoring of system behavior, resulting in significant savings in network resources and reducing the network burden. Furthermore, this theorem remains valid even for triggering mechanisms that require real-time system behavior monitoring. As an application, we explore the stochastic consensus of a stochastic leader-following multi-agent system based on event-triggered impulsive control. Finally, an example is given to prove that the proposed protocol is practical.</div></div>","PeriodicalId":51063,"journal":{"name":"Information Sciences","volume":"721 ","pages":"Article 122622"},"PeriodicalIF":6.8000,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Event-based stochastic Lyapunov-type theorem and its application to leader-following multi-agent systems\",\"authors\":\"Zunjie Yu , Weihai Zhang , Qingpeng Meng , Chao Guo\",\"doi\":\"10.1016/j.ins.2025.122622\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Based on the event-triggered mechanism, we establish a stochastic Lyapunov-type theorem for stochastic impulsive systems and discuss stability in probability of such systems. In particular, this mechanism does not require real-time monitoring of system behavior, resulting in significant savings in network resources and reducing the network burden. Furthermore, this theorem remains valid even for triggering mechanisms that require real-time system behavior monitoring. As an application, we explore the stochastic consensus of a stochastic leader-following multi-agent system based on event-triggered impulsive control. Finally, an example is given to prove that the proposed protocol is practical.</div></div>\",\"PeriodicalId\":51063,\"journal\":{\"name\":\"Information Sciences\",\"volume\":\"721 \",\"pages\":\"Article 122622\"},\"PeriodicalIF\":6.8000,\"publicationDate\":\"2025-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Information Sciences\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0020025525007558\",\"RegionNum\":1,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"0\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Information Sciences","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020025525007558","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
Event-based stochastic Lyapunov-type theorem and its application to leader-following multi-agent systems
Based on the event-triggered mechanism, we establish a stochastic Lyapunov-type theorem for stochastic impulsive systems and discuss stability in probability of such systems. In particular, this mechanism does not require real-time monitoring of system behavior, resulting in significant savings in network resources and reducing the network burden. Furthermore, this theorem remains valid even for triggering mechanisms that require real-time system behavior monitoring. As an application, we explore the stochastic consensus of a stochastic leader-following multi-agent system based on event-triggered impulsive control. Finally, an example is given to prove that the proposed protocol is practical.
期刊介绍:
Informatics and Computer Science Intelligent Systems Applications is an esteemed international journal that focuses on publishing original and creative research findings in the field of information sciences. We also feature a limited number of timely tutorial and surveying contributions.
Our journal aims to cater to a diverse audience, including researchers, developers, managers, strategic planners, graduate students, and anyone interested in staying up-to-date with cutting-edge research in information science, knowledge engineering, and intelligent systems. While readers are expected to share a common interest in information science, they come from varying backgrounds such as engineering, mathematics, statistics, physics, computer science, cell biology, molecular biology, management science, cognitive science, neurobiology, behavioral sciences, and biochemistry.