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

Citation

Kuchkarov, Atamurat and Ibragimov, Gafurjan and Sotvoldiev, Akmal (2013) On 0-controllability and pursuit problems for linear discrete systems under total constraints on controls. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 31-36).

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.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1007/978-981-4585-33-0_4
Publisher:	Springer Singapore
Keywords:	Linear discrete systems; Pursuit game problems; Linear transformation
Depositing User:	Nursyafinaz Mohd Noh
Date Deposited:	05 Nov 2015 01:44
Last Modified:	24 Aug 2017 08:30
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/978-981-4585-33-0_4
URI:	http://psasir.upm.edu.my/id/eprint/41338
Statistic Details:	View Download Statistic

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