On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls

• Main Authors: Kuchkarov, Atamurat, Ibragimov, Gafurjan, Sotvoldiev, Akmal
• Format: Conference or Workshop Item
• Language: English
• Published: Springer Singapore 2013
• Online Access: http://psasir.upm.edu.my/id/eprint/41338/1/On%200-controllability%20and%20pursuit%20problems%20for%20linear%20discrete%20systems%20under%20total%20constraints%20on%20controls.pdf; http://psasir.upm.edu.my/id/eprint/41338/

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.