Optimal control problems for a von Kármán system with long memory

Boundary value problems

Jinsoo Hwang¹ 

[1] Department of Mathematics Education, College of Education, Daegu University, Gyeongsan, Republic of Korea

关键词: optimal control;    von Kármán system with long memory;    Gâteaux differentiability;    necessary optimality condition;    time local uniqueness;    35R09;    35Q93;    35L53;   

DOI  :  10.1186/s13661-016-0594-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study quadratic cost optimal control problems governed by a von Kármán system with long memory. We prove the existence of an optimal control for the cost. Then, by proving the strong Gâteaux differentiability of nonlinear solution mapping we establish necessary optimality condition for the optimal control corresponding to the quadratic cost. Further, we study the time local uniqueness of the optimal controls for distributive observation.

【 授权许可】

CC BY