Stability analysis for optimal control problems governed by semilinear evolution equation

作者：Deng, Hongyong; Wei, Wei^*

来源：Advances in Difference Equations, 2015, 2015(1): 103.

DOI：10.1186/s13662-015-0443-5

• optimal control
• stability
• semilinear evolution equation
• C-0-semigroup
• set-valued mapping

In this paper, the stability of solutions of optimal control for the distributed parameter system governed by a semilinear evolution equation with compact control set in the space L-1(0,T;E) is discussed. The stability results for optimal control problems with respect to the right-hand side functions are obtained by the theory of set-valued mapping and the definition of essential solutions for optimal control problems.

• 出版日期2015-3-28
• 单位贵州大学