{"title":"分段线性系统的计算分析工具箱","authors":"S. Hedlund, M. Johansson","doi":"10.23919/ECC.1999.7100057","DOIUrl":null,"url":null,"abstract":"This paper reports the development of a Matlab toolbox for computational analysis of piecewise linear systems. The analysis is based on piecewise quadratic Lyapunov functions, which are computed via convex optimization. In this way, exponential stability and system performance can be assessed. The toolbox also supports efficient simulation of systems with discontinuous dynamics and sliding modes. A set of intuitive commands for describing piecewise linear systems is included, making the analysis routines easily accessible also for the inexperienced user.","PeriodicalId":117668,"journal":{"name":"1999 European Control Conference (ECC)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":"{\"title\":\"A toolbox for computational analysis of piecewise linear systems\",\"authors\":\"S. Hedlund, M. Johansson\",\"doi\":\"10.23919/ECC.1999.7100057\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper reports the development of a Matlab toolbox for computational analysis of piecewise linear systems. The analysis is based on piecewise quadratic Lyapunov functions, which are computed via convex optimization. In this way, exponential stability and system performance can be assessed. The toolbox also supports efficient simulation of systems with discontinuous dynamics and sliding modes. A set of intuitive commands for describing piecewise linear systems is included, making the analysis routines easily accessible also for the inexperienced user.\",\"PeriodicalId\":117668,\"journal\":{\"name\":\"1999 European Control Conference (ECC)\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1999 European Control Conference (ECC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/ECC.1999.7100057\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1999 European Control Conference (ECC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ECC.1999.7100057","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A toolbox for computational analysis of piecewise linear systems
This paper reports the development of a Matlab toolbox for computational analysis of piecewise linear systems. The analysis is based on piecewise quadratic Lyapunov functions, which are computed via convex optimization. In this way, exponential stability and system performance can be assessed. The toolbox also supports efficient simulation of systems with discontinuous dynamics and sliding modes. A set of intuitive commands for describing piecewise linear systems is included, making the analysis routines easily accessible also for the inexperienced user.
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