[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2020.469

APPROXIMATE REACHABLE SETS FOR RETARDED SEMILINEAR CONTROL SYSTEMS

KIM, DAEWOOK (Department of Mathematics Education, Seowon University)
JEONG, JIN-MUN (Department of Applied Mathematics, Pukyong National University)

Publication Information

Journal of applied mathematics & informatics / v.38, no.5_6, 2020 , pp. 469-481 More about this Journal

Abstract

In this paper, we consider a control system for semilinear differential equations in Hilbert spaces with Lipschitz continuous nonlinear term. Our method is to find the equivalence of approximate controllability for the given semilinear system and the linear system excluded the nonlinear term, which is based on results on regularity for the mild solution and estimates of the fundamental solution.

Keywords

reachable set; approximate controllability; semilinear control system; lipschtiz continuity; analytic semigroup;

Citations & Related Records

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