论文标题
非线性分数冲动控制系统的松弛轨迹的特性
Properties of relaxed trajectories of non-linear fractional impulsive control systems
论文作者
论文摘要
考虑了Banach空间中HILFER分数秩序的非线性冲动进化方程所控制的非凸控制系统。建立了可允许的国家控制对的存在。然后，引入合适的测量值对控制会引起系统，并获得了松弛的系统。此外，证明了所描述类的松弛定理以及最佳松弛控制的存在。
A non-convex control system governed by a nonlinear impulsive evolution equation of Hilfer fractional order in a Banach space is considered. The existence of admissible state-control pair is established. Then the introduction of suitable measure-valued control convexifies the system, and the relaxed system is obtained. Further, the relaxation theorem for the described class is proved along with the existence of optimal relaxed control.
