一类积微分受控系统的最优控制(英文)

Optimal Controls of Systems Governed by a Class of Integro-Differential Equations

讨论受控系统为一类积微分方程的Bolza问题。得到了分数指数空间一算子的强连续性和最优控制的存在性定理。最后,以一个例子展示了抽象结果的应用。

A Bolza problem of systems governed by a class of integro - differential equations is considered. We give strong continuity of an operator connected with fractional power space and obtain existence of optimal controls. An example is given to demonstrate the result.