{"title":"高阶系统的优化与极小原理的扩展","authors":"Sunil K. Agrawal, T. Veeraklaew","doi":"10.1109/CDC.1999.832904","DOIUrl":null,"url":null,"abstract":"In previous years, using tools of linear and nonlinear systems theory, it has been shown that a large number of dynamic systems can be written in canonical forms. These canonical forms are alternatives to state-space forms and can be represented by higher-order differential equations. For planning and control purposes, these canonical forms provide a number of advantages when compared to their corresponding first-order forms. We address the question of optimization of dynamic systems described by higher-order differential equations. The minimum principle for higher-order systems is derived directly from their higher-order forms. The results are illustrated by an example.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Optimization of higher-order systems and extensions of minimum principle\",\"authors\":\"Sunil K. Agrawal, T. Veeraklaew\",\"doi\":\"10.1109/CDC.1999.832904\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In previous years, using tools of linear and nonlinear systems theory, it has been shown that a large number of dynamic systems can be written in canonical forms. These canonical forms are alternatives to state-space forms and can be represented by higher-order differential equations. For planning and control purposes, these canonical forms provide a number of advantages when compared to their corresponding first-order forms. We address the question of optimization of dynamic systems described by higher-order differential equations. The minimum principle for higher-order systems is derived directly from their higher-order forms. The results are illustrated by an example.\",\"PeriodicalId\":137513,\"journal\":{\"name\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1999.832904\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.832904","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimization of higher-order systems and extensions of minimum principle
In previous years, using tools of linear and nonlinear systems theory, it has been shown that a large number of dynamic systems can be written in canonical forms. These canonical forms are alternatives to state-space forms and can be represented by higher-order differential equations. For planning and control purposes, these canonical forms provide a number of advantages when compared to their corresponding first-order forms. We address the question of optimization of dynamic systems described by higher-order differential equations. The minimum principle for higher-order systems is derived directly from their higher-order forms. The results are illustrated by an example.