[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.3.557

SUFFICIENT CONDITIONS FOR OPTIMALITY IN DIFFERENTIAL INCLUSION UNDER STATE CONSTRAINTS

Kim, Kyung-Eung (Department of Mathematics School of the Liberal Arts Seoul National University of Technology)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.3, 2004 , pp. 557-567 More about this Journal

Abstract

We prove the sufficient conditions for optimality in differential inclusion problem by using the value function. For this purpose, we assume at first that the value function is locally Lipschitz. Secondly, without this assumption, we use the viability theory.

Keywords

sufficient conditions; state constraints; value function; contingent derivative; feedback map;

Citations & Related Records

Reference

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