{"title":"克罗托夫全局顺序改进法在最大化进入给定区域概率问题中的应用","authors":"M. M. Khrustalev, K. A. Tsarkov","doi":"10.1134/s1064230724700266","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>An iterative method of the global improvement of an arbitrarily given control in a nonlinear dynamical system, proposed by V.F. Krotov, is described in detail in this paper. Various variants for applying the Krotov method to a problem of stochastic probabilistic optimization are discussed.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":"19 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Krotov Global Sequential Improvement Method as Applied to the Problem of Maximizing the Probability of Getting into the Given Area\",\"authors\":\"M. M. Khrustalev, K. A. Tsarkov\",\"doi\":\"10.1134/s1064230724700266\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>An iterative method of the global improvement of an arbitrarily given control in a nonlinear dynamical system, proposed by V.F. Krotov, is described in detail in this paper. Various variants for applying the Krotov method to a problem of stochastic probabilistic optimization are discussed.</p>\",\"PeriodicalId\":50223,\"journal\":{\"name\":\"Journal of Computer and Systems Sciences International\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-08-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computer and Systems Sciences International\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1134/s1064230724700266\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computer and Systems Sciences International","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1134/s1064230724700266","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
Krotov Global Sequential Improvement Method as Applied to the Problem of Maximizing the Probability of Getting into the Given Area
Abstract
An iterative method of the global improvement of an arbitrarily given control in a nonlinear dynamical system, proposed by V.F. Krotov, is described in detail in this paper. Various variants for applying the Krotov method to a problem of stochastic probabilistic optimization are discussed.
期刊介绍:
Journal of Computer and System Sciences International is a journal published in collaboration with the Russian Academy of Sciences. It covers all areas of control theory and systems. The journal features papers on the theory and methods of control, as well as papers devoted to the study, design, modeling, development, and application of new control systems. The journal publishes papers that reflect contemporary research and development in the field of control. Particular attention is given to applications of computer methods and technologies to control theory and control engineering. The journal publishes proceedings of international scientific conferences in the form of collections of regular journal articles and reviews by top experts on topical problems of modern studies in control theory.