%0 Journal Article %A Ryzhkova, Irina L. %D 2000 %I Begell House %K linear differential games, control, problems of keeping, integral constraints, dynamics, inclusions, players. %N 12 %P 18-22 %R 10.1615/JAutomatInfScien.v32.i12.30 %T Linear Differential Games with Simple Matrices and Integral Constraints %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,3c2f4b9704821b13,2d43b18052245147.html %V 32 %X We consider problems of keeping and ending with fixed finish time in linear differential games with constant matrices and integral constraints for player's control. In contrast to games with an arbitrary matrix we solve completely the keeping problem and under certain conditions − the pursuit problem. We have obtained the new theorems about an alternative. %8 2000-12-01