{"title":"白噪声扰动下一维空间不变阵列的稳定性","authors":"H. Fang, P.J. Antsakls","doi":"10.1109/MED.2006.328831","DOIUrl":null,"url":null,"abstract":"For the one-dimensional spatially invariant array, a necessary and sufficient stability condition in terms of the Schur stability of a matrix over spatial frequency is obtained in this paper Then based on the theorem on nonnegative pseudo-polynomial matrices, the frequency-dependent stability condition is converted to a finite dimensional linear matrix inequality (LMI) problem, the solution of which is easy to compute","PeriodicalId":347035,"journal":{"name":"2006 14th Mediterranean Conference on Control and Automation","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability of One-Dimensional Spatially Invariant Arrays Perturbed by White Noise\",\"authors\":\"H. Fang, P.J. Antsakls\",\"doi\":\"10.1109/MED.2006.328831\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For the one-dimensional spatially invariant array, a necessary and sufficient stability condition in terms of the Schur stability of a matrix over spatial frequency is obtained in this paper Then based on the theorem on nonnegative pseudo-polynomial matrices, the frequency-dependent stability condition is converted to a finite dimensional linear matrix inequality (LMI) problem, the solution of which is easy to compute\",\"PeriodicalId\":347035,\"journal\":{\"name\":\"2006 14th Mediterranean Conference on Control and Automation\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 14th Mediterranean Conference on Control and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MED.2006.328831\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 14th Mediterranean Conference on Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED.2006.328831","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability of One-Dimensional Spatially Invariant Arrays Perturbed by White Noise
For the one-dimensional spatially invariant array, a necessary and sufficient stability condition in terms of the Schur stability of a matrix over spatial frequency is obtained in this paper Then based on the theorem on nonnegative pseudo-polynomial matrices, the frequency-dependent stability condition is converted to a finite dimensional linear matrix inequality (LMI) problem, the solution of which is easy to compute
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