On 0-Controllability and Pursuit Problems for Linear Discrete Systems Under Total Constraints on Controls

Atamurat Kuchkarov (), Gafurjan Ibragimov () and Akmal Sotvoldiev ()
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Atamurat Kuchkarov: Institute of Mathematics
Gafurjan Ibragimov: Universiti Putra Malaysia, Institute for Mathematical Research
Akmal Sotvoldiev: Institute of Mathematics

A chapter in International Conference on Mathematical Sciences and Statistics 2013, 2014, pp 31-36 from Springer

Abstract: Abstract We consider linear discrete control and pursuit game problems. Control vectors are subjected to total constraints, which are discrete analogues of the integral constraint. By definition, (i) the control system is 0-controllable on the whole if there is a control such that the state of the system z(t) = 0 at some step t, (ii) pursuit can be completed if there exists a strategy of the pursuer such that for any strategy of the evader the state of the system y(t) = 0. We obtained sufficient condition for equivalence of 0-controllability and completion of the game from any initial position of the space.

Keywords: Total Constraint; Discrete Linear System; Pursuit Game Problems; Pursuit Games; Evader (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-981-4585-33-0_4

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