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This article is cited in 3 scientific papers (total in 3 papers)
Approximation of sections of the set of trajectories for a control system with bounded control resources
A. Huseyina, N. Huseyina, Kh. G. Guseinovb a Cumhuriyet University
b Anadolu University
Abstract:
A. Huseyin, N. Huseyin, Kh. Guseinov. Approximation of sections of the set of trajectories for a control system with bounded control resources. The approximation of the set of trajectories is studied for a control system described by the Urysohn integral equation. It is assumed that the system has limited control resources. The closed ball of the space $L_p$, $p>1$, with radius $r$ centered at the origin is chosen as the set of admissible control functions. The set of admissible control functions is replaced step by step by a set that consists of a finite number of control functions and generates a finite number of trajectories. It is proved that sections of the set of trajectories can be approximated by sections of a set consisting of a finite number of trajectories.
Keywords:
Urysohn integral equation, control system, integral constraint, set of trajectories, approximation.
Received: 10.08.2016
Citation:
A. Huseyin, N. Huseyin, Kh. G. Guseinov, “Approximation of sections of the set of trajectories for a control system with bounded control resources”, Trudy Inst. Mat. i Mekh. UrO RAN, 23, no. 1, 2017, 116–127
Linking options:
https://www.mathnet.ru/eng/timm1388 https://www.mathnet.ru/eng/timm/v23/i1/p116
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Abstract page: | 280 | Full-text PDF : | 56 | References: | 50 | First page: | 7 |
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