{"title":"关于具有模糊状态的连续随机过程","authors":"V. L. Khatskevich","doi":"10.1134/S0005117923070081","DOIUrl":null,"url":null,"abstract":"<p>Continuous random processes with fuzzy states are studied. The properties of their numerical characteristics (expectations and correlation functions) corresponding to those of numerical random processes are established. The results obtained are based on the properties of fuzzy random variables. Applications to the problem of transforming a random signal with fuzzy states by a linear dynamic system are considered.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Continuous Random Processes with Fuzzy States\",\"authors\":\"V. L. Khatskevich\",\"doi\":\"10.1134/S0005117923070081\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Continuous random processes with fuzzy states are studied. The properties of their numerical characteristics (expectations and correlation functions) corresponding to those of numerical random processes are established. The results obtained are based on the properties of fuzzy random variables. Applications to the problem of transforming a random signal with fuzzy states by a linear dynamic system are considered.</p>\",\"PeriodicalId\":55411,\"journal\":{\"name\":\"Automation and Remote Control\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-10-01\",\"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/S0005117923070081\",\"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/S0005117923070081","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 random processes with fuzzy states are studied. The properties of their numerical characteristics (expectations and correlation functions) corresponding to those of numerical random processes are established. The results obtained are based on the properties of fuzzy random variables. Applications to the problem of transforming a random signal with fuzzy states by a linear dynamic system are considered.
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.).