{"title":"具有模糊状态的连续过程及其应用","authors":"V. L. Khatskevich","doi":"10.1134/s0005117923080040","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Scalar characteristics of continuous processes with fuzzy states—mean and correlation functions—are introduced and studied. Their algebraic properties as well as some properties related to the differentiation and integration of fuzzy functions of a real argument are established. The dependence between the characteristics of a fuzzy signal at the input and output of a dynamic system described by a high-order differential equation with constant coefficients is shown.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Continuous Processes with Fuzzy States and Their Applications\",\"authors\":\"V. L. Khatskevich\",\"doi\":\"10.1134/s0005117923080040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>Scalar characteristics of continuous processes with fuzzy states—mean and correlation functions—are introduced and studied. Their algebraic properties as well as some properties related to the differentiation and integration of fuzzy functions of a real argument are established. The dependence between the characteristics of a fuzzy signal at the input and output of a dynamic system described by a high-order differential equation with constant coefficients is shown.</p>\",\"PeriodicalId\":55411,\"journal\":{\"name\":\"Automation and Remote Control\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-12-18\",\"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://doi.org/10.1134/s0005117923080040\",\"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://doi.org/10.1134/s0005117923080040","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}
Continuous Processes with Fuzzy States and Their Applications
Abstract
Scalar characteristics of continuous processes with fuzzy states—mean and correlation functions—are introduced and studied. Their algebraic properties as well as some properties related to the differentiation and integration of fuzzy functions of a real argument are established. The dependence between the characteristics of a fuzzy signal at the input and output of a dynamic system described by a high-order differential equation with constant coefficients is shown.
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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