{"title":"4 Cascade Interconnections","authors":"W. Levine","doi":"10.1201/b10384-103","DOIUrl":"https://doi.org/10.1201/b10384-103","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122368815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Decoupling","authors":"","doi":"10.1201/b10384-68","DOIUrl":"https://doi.org/10.1201/b10384-68","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130799633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"3 Boundary Control Design","authors":"W. Levine","doi":"10.1201/B10384-152","DOIUrl":"https://doi.org/10.1201/B10384-152","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133613806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Passivity Approach to Network Stability Analysis and Distributed Control Synthesis","authors":"","doi":"10.1201/b10384-160","DOIUrl":"https://doi.org/10.1201/b10384-160","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133535016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"2 Stability of Stochastic Systems","authors":"","doi":"10.1201/b10384-143","DOIUrl":"https://doi.org/10.1201/b10384-143","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122996715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"4 Applications to Systems and Control","authors":"","doi":"10.1201/b10384-11","DOIUrl":"https://doi.org/10.1201/b10384-11","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122685498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"6 Time-Domain Norm-Optimal Design","authors":"","doi":"10.1201/b10384-83","DOIUrl":"https://doi.org/10.1201/b10384-83","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115819803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"3 Stochastic Systems","authors":"","doi":"10.1201/b10384-135","DOIUrl":"https://doi.org/10.1201/b10384-135","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120947398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Probabilistic and Randomized Tools for Control Design","authors":"William S. Levine","doi":"10.1201/B10384-141","DOIUrl":"https://doi.org/10.1201/B10384-141","url":null,"abstract":"","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125302981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Stability theory plays a central role in control theory and engineering. There are different kinds of stability problems that arise in the study of dynamical systems (see Stability theory, Popov and circle criterion, and Input-output stability). This article is concerned with Lyapunov stability. Stability of equilibrium points is defined in Section 2 for autonomous systems and Lyapunov’s theorem is given.
{"title":"Lyapunov Stability","authors":"H. Khalil","doi":"10.1201/b10384-98","DOIUrl":"https://doi.org/10.1201/b10384-98","url":null,"abstract":"Stability theory plays a central role in control theory and engineering. There are different kinds of stability problems that arise in the study of dynamical systems (see Stability theory, Popov and circle criterion, and Input-output stability). This article is concerned with Lyapunov stability. Stability of equilibrium points is defined in Section 2 for autonomous systems and Lyapunov’s theorem is given.","PeriodicalId":131575,"journal":{"name":"The Control Systems Handbook","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117022954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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