{"title":"动态系统中周期域的识别","authors":"A. N. Naimov, M. V. Bystretskii, A. B. Nazimov","doi":"10.1134/S0005117923050077","DOIUrl":null,"url":null,"abstract":"<p>For a dynamic system given by first-order ordinary differential equations, the problem of identification of periodic regimes is investigated. This problem is the establishment the periodicity of an arbitrary solution via the periodicity of the observed value of solution. The conditions under which the problem of identification of periodic regimes is solvable are found. Formulated and proven theorems supplement the well-known results on the observability of dynamic systems.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Identification of Periodic Regimes in a Dynamic System\",\"authors\":\"A. N. Naimov, M. V. Bystretskii, A. B. Nazimov\",\"doi\":\"10.1134/S0005117923050077\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>For a dynamic system given by first-order ordinary differential equations, the problem of identification of periodic regimes is investigated. This problem is the establishment the periodicity of an arbitrary solution via the periodicity of the observed value of solution. The conditions under which the problem of identification of periodic regimes is solvable are found. Formulated and proven theorems supplement the well-known results on the observability of dynamic systems.</p>\",\"PeriodicalId\":55411,\"journal\":{\"name\":\"Automation and Remote Control\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-09-19\",\"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/S0005117923050077\",\"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/S0005117923050077","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}
Identification of Periodic Regimes in a Dynamic System
For a dynamic system given by first-order ordinary differential equations, the problem of identification of periodic regimes is investigated. This problem is the establishment the periodicity of an arbitrary solution via the periodicity of the observed value of solution. The conditions under which the problem of identification of periodic regimes is solvable are found. Formulated and proven theorems supplement the well-known results on the observability of dynamic systems.
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.).