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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 153–167
(Mi timm1123)
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This article is cited in 7 scientific papers (total in 7 papers)
On the polyhedral method of solving problems of control strategy synthesis
E. K. Kostousova Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
We consider control synthesis problems for linear and bilinear differential systems. Two types of problems are studied: when controls are additive and when they enter the matrix of the system. For both types we consider cases without uncertainty and cases with uncertainty, including additive parallelotope-valued uncertainties and interval uncertainties in the coefficients of the system. We continue to develop the methods of “polyhedral” synthesis of controls with the use of polyhedral (parallelotope-valued) solvability tubes. We propose new control strategies, which can be calculated by explicit formulas based on the mentioned tubes, and consider similar synthesis problems for multistep systems.
Keywords:
control synthesis, solvability tubes, polyhedral estimates, parallelotopes, interval analysis.
Received: 17.02.2014
Citation:
E. K. Kostousova, “On the polyhedral method of solving problems of control strategy synthesis”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 153–167; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 140–155
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https://www.mathnet.ru/eng/timm1123 https://www.mathnet.ru/eng/timm/v20/i4/p153
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