논문KCI 등재
Optimal control problems for the semilinear second order evolution equations
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Abstract
In this paper, we study the optimal control for the dampedsemilinear hyperbolic systems with unknown parameters(C(t)y')'+A_2(t,q)y'+A_1(t,q)y=f(t,q,y,u).We will prove the existence of weak solution of this system andis to find the optimal control pair (bar{q},bar{u})inQ_{tau}times {mathcal U}_{ad} such that inf_{uin {mathcalU}_{ad}}sup_{qin Q_{tau}}J(q,u)=J(bar{q},bar{u}).
관련 논문AI추천
Optimal control problems for semilinear evolution equations김진란, 노현희, 정진문대한수학회 · 대한수학회지2008 · 제45권 제3호Identification problems for the system governed by abstract nonlinea damped second order evolutione quationsJunhong Ha, Shin-ichi Nakagiri대한수학회 · 대한수학회지2004 · 제41권 제3호Optimal control problems for viscous Cahn-Hilliard equationJ. S. Hwang장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제2호Controllability for nonlinear variational evolution inequalities노현희, Jin-Mun Jeong, Jong Yeoul Park대한수학회 · 대한수학회지2012 · 제49권 제5호OPTIMAL CONTROL PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES WITH BOUNDARY CONDITIONS김현민, 정진문, 주은영대한수학회 · 대한수학회지2015 · 제52권 제3호Riccati equation in quadratic optimal control problem of damped second order system하준홍, Shin-ichi Nakagiri대한수학회 · 대한수학회지2013 · 제50권 제1호
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