%0 Journal Article %A Ostapenko, Valentin V. %A Ryzhkova, Irina L. %D 2000 %I Begell House %K differential game, integral constraint, admissible control, normalization condition, matrix-convex set. %N 10 %P 46-51 %R 10.1615/JAutomatInfScien.v32.i10.60 %T Linear Differential Hold-In Games with Integral Constraints %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,0a885c2067c467b0,744f652e407418f8.html %V 32 %X The problem of holding trajectory in differential games with an arbitrary matrix and integrated constraints of controls of the players is considered. The method based on concepts of H-convexity and matrix convexity which was earlier applied to solution of linear games with geometrical constraints on controls of the players, is proposed. The analog of the theorem about alternative is obtained. %8 2000-10-01