Approximate controllability of delayed semilinear control systems

[摘要] We deal with the approximate controllability of control systems governed by delayed semilinear differential equationsy˙(t)=Ay(t)+A1y(t−Δ)+F(t,y(t),yt)+(Bu)(t). Various sufficient conditions for approximate controllability have been obtained; these results usually require some complicated and limited assumptions. Results in this paper provide sufficient conditions for the approximate controllability of a class of delayed semilinear control systems under natural assumptions.

[学科分类] 应用数学