{"title":"定常随机系统的各向异性范数计算","authors":"A. Kustov, V. Timin, A. Yurchenkov","doi":"10.1109/STAB49150.2020.9140681","DOIUrl":null,"url":null,"abstract":"In this paper, anisotropy-based analysis for linear time-invariant systems with random matrices is studied. Matrices of the system are supposed to be stationary random process. The necessary and sufficient condition of innerness for considered system is derived. Anisotropic norm computation algorithm based on state space representation is developed.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Anisotropic Norm Computation for Time-invariant Random System\",\"authors\":\"A. Kustov, V. Timin, A. Yurchenkov\",\"doi\":\"10.1109/STAB49150.2020.9140681\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, anisotropy-based analysis for linear time-invariant systems with random matrices is studied. Matrices of the system are supposed to be stationary random process. The necessary and sufficient condition of innerness for considered system is derived. Anisotropic norm computation algorithm based on state space representation is developed.\",\"PeriodicalId\":166223,\"journal\":{\"name\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"24 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/STAB49150.2020.9140681\",\"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/STAB49150.2020.9140681","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Anisotropic Norm Computation for Time-invariant Random System
In this paper, anisotropy-based analysis for linear time-invariant systems with random matrices is studied. Matrices of the system are supposed to be stationary random process. The necessary and sufficient condition of innerness for considered system is derived. Anisotropic norm computation algorithm based on state space representation is developed.