{"title":"具有摄动的非线性差分系统的渐近静态位置","authors":"S. Y. Kuptsov, S. Kuptsova, Uliana P. Zaranik","doi":"10.1109/SCP.2015.7342041","DOIUrl":null,"url":null,"abstract":"In this paper, we study qualitative properties of solutions of nonlinear systems of difference equations. In particular, we analyze asymptotic behavior of solutions of the systems under perturbations of a certain type. Using methods of Lyapunov functions, we present conditions guaranteeing that the perturbed system has an asymptotic quiescent position.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"160 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On asymptotic quiescent position of nonlinear difference systems with perturbations\",\"authors\":\"S. Y. Kuptsov, S. Kuptsova, Uliana P. Zaranik\",\"doi\":\"10.1109/SCP.2015.7342041\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study qualitative properties of solutions of nonlinear systems of difference equations. In particular, we analyze asymptotic behavior of solutions of the systems under perturbations of a certain type. Using methods of Lyapunov functions, we present conditions guaranteeing that the perturbed system has an asymptotic quiescent position.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"160 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.2015.7342041\",\"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.2015.7342041","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On asymptotic quiescent position of nonlinear difference systems with perturbations
In this paper, we study qualitative properties of solutions of nonlinear systems of difference equations. In particular, we analyze asymptotic behavior of solutions of the systems under perturbations of a certain type. Using methods of Lyapunov functions, we present conditions guaranteeing that the perturbed system has an asymptotic quiescent position.
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