Neccesary optimaity conditions for a class of semilinear eliptic optimal control problems with pure state constraints and mixed pointwise constraints

Authors: Bùi Trọng Kiên, Wong Mu Ming, Vũ Hữu Nhự,

http://www.yokohamapublishers.jp/online-p/JNCA/vol16/jncav16n7p1363.pdf

Publisher, magazine: ,

Publication year: 2015

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Abstract

This paper deals with first- and second-order necessary optimality conditions for a class of optimal control problems governed by semilinear elliptic equations with pure state constraints and mixed state-control constraints. The second-order necessary optimality conditions are established by using tools of variational analysis.

Tags: optimal control; semilinear elliptic equations; necessary optimality conditions; pure state constraints; mixed pointwise constraints