{"title":"基于Krotov法求解线性离散系统时间优化问题的方法","authors":"D. N. Ibragimov, K. A. Tsarkov","doi":"10.1134/S0005117924700231","DOIUrl":null,"url":null,"abstract":"<p>In the paper, we develop a method for studying the time-optimization problem for a linear system with discrete time, which allows, in the general case, to improve known upper estimates of the objective function and to find guaranteeing control processes. We obtain sufficient conditions for convergence to the optimal solution in the problem and implement the method as an effective numerical algorithm.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":"85 11","pages":"939 - 962"},"PeriodicalIF":0.6000,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On an Approach to Solving the Time-Optimization Problem for Linear Discrete-Time Systems Based on Krotov Method\",\"authors\":\"D. N. Ibragimov, K. A. Tsarkov\",\"doi\":\"10.1134/S0005117924700231\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In the paper, we develop a method for studying the time-optimization problem for a linear system with discrete time, which allows, in the general case, to improve known upper estimates of the objective function and to find guaranteeing control processes. We obtain sufficient conditions for convergence to the optimal solution in the problem and implement the method as an effective numerical algorithm.</p>\",\"PeriodicalId\":55411,\"journal\":{\"name\":\"Automation and Remote Control\",\"volume\":\"85 11\",\"pages\":\"939 - 962\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Automation and Remote Control\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0005117924700231\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automation and Remote Control","FirstCategoryId":"94","ListUrlMain":"https://link.springer.com/article/10.1134/S0005117924700231","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
On an Approach to Solving the Time-Optimization Problem for Linear Discrete-Time Systems Based on Krotov Method
In the paper, we develop a method for studying the time-optimization problem for a linear system with discrete time, which allows, in the general case, to improve known upper estimates of the objective function and to find guaranteeing control processes. We obtain sufficient conditions for convergence to the optimal solution in the problem and implement the method as an effective numerical algorithm.
期刊介绍：
Automation and Remote Control is one of the first journals on control theory. The scope of the journal is control theory problems and applications. The journal publishes reviews, original articles, and short communications (deterministic, stochastic, adaptive, and robust formulations) and its applications (computer control, components and instruments, process control, social and economy control, etc.).
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