{"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}
引用次数: 1
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.
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