{"title":"Solution of the Local-Boundary-Value Problem of Control for a Nonlinear Stationary System Taking into Account Computer System Verification","authors":"A. N. Kvitko, N. N. Litvinov","doi":"10.1134/s1063454124700055","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this work, an algorithm is suggested to construct the control function that provides the transition of a broad class of stationary nonlinear controllable systems of ordinary differential equations from the initial state to the origin of coordinates taking into account the possibility of verification of the operability of computer systems. Constructive sufficient conditions ensuring the existence of a solution to the set problem are found. The efficiency of the algorithm is shown by the numerical modeling of a specific practical problem.</p>","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"9 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik St Petersburg University-Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1063454124700055","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, an algorithm is suggested to construct the control function that provides the transition of a broad class of stationary nonlinear controllable systems of ordinary differential equations from the initial state to the origin of coordinates taking into account the possibility of verification of the operability of computer systems. Constructive sufficient conditions ensuring the existence of a solution to the set problem are found. The efficiency of the algorithm is shown by the numerical modeling of a specific practical problem.
期刊介绍：
Vestnik St. Petersburg University, Mathematics is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.
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