Journal of Applied Mathematics and Stochastic Analysis 
Volume 2005 (2005), Issue 1, Pages 67-76
doi:10.1155/JAMSA.2005.67

Approximate controllability of delayed semilinear control systems

Lianwen Wang

 Department of Mathematics and Computer Science, Central Missouri State University, Warrensburg 64093, MO, USA
Received 22 January 2004; Revised 9 July 2004

Abstract

We deal with the approximate controllability of control systems governed by delayed semilinear differential equations y˙(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.