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This article is cited in 1 scientific paper (total in 1 paper)
On solving an enhanced evasion problem for linear discrete-time systems
Elena K. Kostousova N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Abstract:
We consider the problem of an enhanced evasion for linear discrete-time systems, where there are two conflicting bounded controls and the aim of one of them is to be guaranteed to avoid the trajectory hitting a given target set at a given final time and also at intermediate instants. First we outline a common solution scheme based on the construction of so called solvability tubes or repulsive tubes. Then a much more quick and simple for realization method based on the construction of the tubes with parallelepiped-valued cross-sections is presented under assumptions that the target set is a parallelepiped and parallelotope-valued constraints on controls are imposed. An example illustrating this method is considered.
Keywords:
linear control systems, discrete-time systems, uncertainty, evasion problem, parallelepipeds.
Citation:
Elena K. Kostousova, “On solving an enhanced evasion problem for linear discrete-time systems”, Ural Math. J., 8:1 (2022), 55–63
Linking options:
https://www.mathnet.ru/eng/umj161 https://www.mathnet.ru/eng/umj/v8/i1/p55
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Abstract page: | 61 | Full-text PDF : | 25 | References: | 13 |
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