Banach空间中一类非线性脉冲积微分方程与最优控制(英文)

Optimal Control of System Governed by Nonlinear Impulsive Integral Differential Equations on Banach Space

讨论了Banach空间中一类非线性脉冲积微分方程及其最优控制问题,给出了Bolza问题最优控制的存在性,并且给出了最优控制存在的必要条件,最后,以一个例子展示了抽象结果的应用。

Optimal control problem of system governed by nonlinear impulsive integral differential equations on Banach space is considered. The existence of optimal control and necessary conditions of optimality are presented. An example is given to illustrate our abstract result.