A. V. Shchennikov, V. N. Shchennikov, E. V. Shchennikova
{"title":"Estimation of linearization error with use of part and all of state variables","authors":"A. V. Shchennikov, V. N. Shchennikov, E. V. Shchennikova","doi":"10.1109/SCP.2015.7342049","DOIUrl":null,"url":null,"abstract":"A general method of error estimation for ordinary differential equations systems linearization with use of the part of state variables is developed on the base of Lyapunov function method. It is stated for a wide class of non-linear differential equations.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","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.2015.7342049","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
A general method of error estimation for ordinary differential equations systems linearization with use of the part of state variables is developed on the base of Lyapunov function method. It is stated for a wide class of non-linear differential equations.