{"title":"On a Positional Control Problem for a Nonlinear Equation with Distributed Parameters","authors":"V. I. Maksimov","doi":"10.1134/s00122661230110071","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider a guaranteed control problem for a nonlinear distributed equation of diffusion\ntype. The problem is essentially to construct a feedback control algorithm ensuring that the\nsolution of a given equation tracks the solution of a similar equation subjected to an unknown\ndisturbance. The case in which a discontinuous unbounded function can be a feasible disturbance\nis studied. We solve the problem under conditions of inaccurate measurement of solutions of each\nof the equations at discrete instants of time and indicate a solution algorithm robust under\ninformation noise and calculation errors.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s00122661230110071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider a guaranteed control problem for a nonlinear distributed equation of diffusion
type. The problem is essentially to construct a feedback control algorithm ensuring that the
solution of a given equation tracks the solution of a similar equation subjected to an unknown
disturbance. The case in which a discontinuous unbounded function can be a feasible disturbance
is studied. We solve the problem under conditions of inaccurate measurement of solutions of each
of the equations at discrete instants of time and indicate a solution algorithm robust under
information noise and calculation errors.
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