Approximate controllability of semilinear system with state delay using sequence method. Issue 11 (November 2015)

• Record Type: Journal Article
• Authors: Shukla, Anurag; Sukavanam, N.; Pandey, D.N.
• Is Part Of: Journal of the Franklin Institute. Volume 352:Issue 11(2015:Nov.)
• Page Start: 5380
• Page End: 5392
• Publication Date: 2015-11
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2015.08.019
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: The objective of this paper is to present some sufficient conditions for approximate controllability of semilinear system with state delay using sequence method. Instead of a C 0 -semigroup associated with the mild solution of the system, we use the so-called fundamental solution. Controllability results are obtained by sequential approach and operator semigroup theory. At the end, an example is given to illustrate the theory.