Exact null controllability of semilinear integrodifferential systems in Hilbert spaces

Abstract

Sufficient conditions for exact null controllability of the semilinear integrodifferential systems in Hilbert spaces are obtained. It is shown that under some natural conditions exact null controllability of the semilinear integrodifferential system is implied by the exact null controllability of the corresponding linear system with additive term. An application to partial integrodifferential equations is given. (C) 2004 Published by Elsevier Inc.