{"title":"Optimal pulse stabilization of autonomous linear systems of differential equations with aftereffect","authors":"Y. Dolgii, A. Sesekin","doi":"10.1109/STAB49150.2020.9140479","DOIUrl":null,"url":null,"abstract":"The problem of optimal impulse stabilization for a linear autonomous system with aftereffect and quadratic quality criterion is considered. The optimal stabilization problem is formalized as an extreme problem in the functional spaces of states and control. A system of governing equations is obtained for the coefficients of the quadratic Bellman functional. The optimal stabilizing control is found.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","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/STAB49150.2020.9140479","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of optimal impulse stabilization for a linear autonomous system with aftereffect and quadratic quality criterion is considered. The optimal stabilization problem is formalized as an extreme problem in the functional spaces of states and control. A system of governing equations is obtained for the coefficients of the quadratic Bellman functional. The optimal stabilizing control is found.
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