On controllability and pursuit problems in linear discrete systems
Абдулла АзамовInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, UzbekistanA. Sh. KuchkarovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
ABI
Abstract
Linear discrete controlled systems and linear discrete pursuit games are considered in the problem where the control vector of the pursuer is subject to a geometrical constraint and the control of the pursued object is subject an integral constraint. Necessary and sufficient conditions of solvability of the 0-controllability problem and that of coming together at the zero point are proved by way of constructive selection of the control vector.