二次约束下线性矩阵不等式的可解性

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140464

L. Rapoport, T. Tormagov

{"title":"二次约束下线性矩阵不等式的可解性","authors":"L. Rapoport, T. Tormagov","doi":"10.1109/STAB49150.2020.9140464","DOIUrl":null,"url":null,"abstract":"The use of semidefinite relaxation in the problem of the sign-definiteness of a quadratic form under quadratic constraints allows one to obtain new sufficient conditions for the solvability of a linear matrix inequality (LMI) under quadratic constraints in the case when the S-procedure does not give an answer. Results are illustrated by an example.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the Solvability of Linear Matrix Inequalities under Quadratic Constraints\",\"authors\":\"L. Rapoport, T. Tormagov\",\"doi\":\"10.1109/STAB49150.2020.9140464\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The use of semidefinite relaxation in the problem of the sign-definiteness of a quadratic form under quadratic constraints allows one to obtain new sufficient conditions for the solvability of a linear matrix inequality (LMI) under quadratic constraints in the case when the S-procedure does not give an answer. Results are illustrated by an example.\",\"PeriodicalId\":166223,\"journal\":{\"name\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB49150.2020.9140464\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140464","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

将半定松弛法应用于二次约束下的二次形式的符号确定性问题，得到了在s -过程不能给出解的情况下二次约束下线性矩阵不等式(LMI)可解性的新的充分条件。算例说明了结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the Solvability of Linear Matrix Inequalities under Quadratic Constraints

The use of semidefinite relaxation in the problem of the sign-definiteness of a quadratic form under quadratic constraints allows one to obtain new sufficient conditions for the solvability of a linear matrix inequality (LMI) under quadratic constraints in the case when the S-procedure does not give an answer. Results are illustrated by an example.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)

自引率

0.00%

发文量