{"title":"线性差分中立型系统的指数估计","authors":"Michail V. Chashnikov, A. Egorov","doi":"10.1109/SCP.2015.7342123","DOIUrl":null,"url":null,"abstract":"In this paper linear time-invariant neutral type system with one delay is considered. Exponential estimates for the solutions of the system are obtained provided that the system is exponentially stable. Presented approach is based on the fact that the fundamental matrix is the Laplace original for the inverse characteristic matrix. It is not possible to obtain the required estimates directly from this formula, but some special transformations allow to solve the problem.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Exponential estimates for linear differential-difference neutral type systems\",\"authors\":\"Michail V. Chashnikov, A. Egorov\",\"doi\":\"10.1109/SCP.2015.7342123\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper linear time-invariant neutral type system with one delay is considered. Exponential estimates for the solutions of the system are obtained provided that the system is exponentially stable. Presented approach is based on the fact that the fundamental matrix is the Laplace original for the inverse characteristic matrix. It is not possible to obtain the required estimates directly from this formula, but some special transformations allow to solve the problem.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCP.2015.7342123\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342123","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential estimates for linear differential-difference neutral type systems
In this paper linear time-invariant neutral type system with one delay is considered. Exponential estimates for the solutions of the system are obtained provided that the system is exponentially stable. Presented approach is based on the fact that the fundamental matrix is the Laplace original for the inverse characteristic matrix. It is not possible to obtain the required estimates directly from this formula, but some special transformations allow to solve the problem.
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