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The purpose of the pursuer is a translation of the system in a finite time to any given neighborhood of zero. The pursuer uses a piecewise open-loop strategy constructed only by using information on the state coordinates and the velocity in the partition points of a time interval. In the past work, sufficient conditions were obtained for existence of a neighborhood of zero from which the capture occurs. The statement of the capture theorem contains such a condition that some vectors set up a positive basis. In this research, we consider the case when these vectors set up a one-sided set. For this case, sufficient conditions are obtained for existence of a set of initial position, from which the capture occurs. <\/jats:p>","DOI":"10.1142\/s0219198923500068","type":"journal-article","created":{"date-parts":[[2023,2,3]],"date-time":"2023-02-03T08:28:24Z","timestamp":1675412904000},"source":"Crossref","is-referenced-by-count":1,"title":["One-Sided Capture in Nonlinear Differential Games"],"prefix":"10.1142","volume":"25","author":[{"given":"K. A.","family":"Shchelchkov","sequence":"first","affiliation":[{"name":"Institute of Mathematics, Information Technologies and Physics, Udmurt State University, Universitetskaya ul. 1, Izhevsk 426034, Russia"}]}],"member":"219","published-online":{"date-parts":[[2023,3,21]]},"reference":[{"issue":"1","key":"S0219198923500068BIB001","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1134\/S0081543810070047","volume":"271","author":"Bannikov A. S.","year":"2010","journal-title":"Proc. Steklov Inst. 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