{"title":"非可缩放情况下线性系统的鲁棒可控性","authors":"V. Turetsky, V. Glizer","doi":"10.1109/Control55989.2022.9781366","DOIUrl":null,"url":null,"abstract":"Previous results of the authors on robust controllability of linear systems are extended to the case of non-scalar controls and target linear manifold in ℝn of a dimension other than n−1. Basic concepts, such as the robust transferring strategy and the robust controllability set, are revisited. Novel robust controllability conditions are established. Numerical results for a three-dimensional interception problem with ellipsoidal control constraints are presented.","PeriodicalId":101892,"journal":{"name":"2022 UKACC 13th International Conference on Control (CONTROL)","volume":"74 3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Robust controllability of linear systems in non-scalarizable case\",\"authors\":\"V. Turetsky, V. Glizer\",\"doi\":\"10.1109/Control55989.2022.9781366\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Previous results of the authors on robust controllability of linear systems are extended to the case of non-scalar controls and target linear manifold in ℝn of a dimension other than n−1. Basic concepts, such as the robust transferring strategy and the robust controllability set, are revisited. Novel robust controllability conditions are established. Numerical results for a three-dimensional interception problem with ellipsoidal control constraints are presented.\",\"PeriodicalId\":101892,\"journal\":{\"name\":\"2022 UKACC 13th International Conference on Control (CONTROL)\",\"volume\":\"74 3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-04-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 UKACC 13th International Conference on Control (CONTROL)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/Control55989.2022.9781366\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 UKACC 13th International Conference on Control (CONTROL)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/Control55989.2022.9781366","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Robust controllability of linear systems in non-scalarizable case
Previous results of the authors on robust controllability of linear systems are extended to the case of non-scalar controls and target linear manifold in ℝn of a dimension other than n−1. Basic concepts, such as the robust transferring strategy and the robust controllability set, are revisited. Novel robust controllability conditions are established. Numerical results for a three-dimensional interception problem with ellipsoidal control constraints are presented.
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