{"title":"一类具有逻辑效应的混合系统均衡点的存在性和稳定性","authors":"Qiyao Wang;Jitao Sun","doi":"10.1109/LCSYS.2024.3452170","DOIUrl":null,"url":null,"abstract":"In this letter, a class of hybrid systems with logical effects is investigated. First, we give the algebraic form of the hybrid systems with the help of the semi-tensor product (STP, i.e., Cheng product). Next, a necessary and sufficient condition for the existence of equilibria is presented. Further, the local asymptotic stability and basins of attractors are discussed. Finally, some numerical examples are provided to demonstrate the validity of the theoretical results.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence and Stability of Equilibria for a Class of Hybrid Systems With Logical Effects\",\"authors\":\"Qiyao Wang;Jitao Sun\",\"doi\":\"10.1109/LCSYS.2024.3452170\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this letter, a class of hybrid systems with logical effects is investigated. First, we give the algebraic form of the hybrid systems with the help of the semi-tensor product (STP, i.e., Cheng product). Next, a necessary and sufficient condition for the existence of equilibria is presented. Further, the local asymptotic stability and basins of attractors are discussed. Finally, some numerical examples are provided to demonstrate the validity of the theoretical results.\",\"PeriodicalId\":37235,\"journal\":{\"name\":\"IEEE Control Systems Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Control Systems Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10660495/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Control Systems Letters","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10660495/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Existence and Stability of Equilibria for a Class of Hybrid Systems With Logical Effects
In this letter, a class of hybrid systems with logical effects is investigated. First, we give the algebraic form of the hybrid systems with the help of the semi-tensor product (STP, i.e., Cheng product). Next, a necessary and sufficient condition for the existence of equilibria is presented. Further, the local asymptotic stability and basins of attractors are discussed. Finally, some numerical examples are provided to demonstrate the validity of the theoretical results.
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