[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c200066

VECTOR MEASURES APPLIED TO OPTIMAL CONTROL FOR A CLASS OF EVOLUTION EQUATIONS ON BANACH SPACES

Ahmed, Nasir Uddin (Department of EECS and formerly Department of Mathematics University of Ottawa)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.4, 2020 , pp. 1329-1352 More about this Journal

Abstract

In this paper we consider a class of nonlinear evolution equations on infinite dimensional Banach spaces driven by vector measures. We prove existence and uniqueness of solutions and continuous dependence of solutions on the control measures. Using these results we prove existence of optimal controls for Bolza problems. Based on this result we present necessary conditions of optimality.

Keywords

Systems driven by vector measures; impulsive systems; measures as controls; existence of solutions; existence of optimal controls; necessary conditions of optimality;

Citations & Related Records

Reference

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