非线性分数阶脉冲控制系统松弛轨线的性质
Properties of relaxed trajectories of non-linear fractional impulsive control systems
摘要：
研究了巴拿赫空间中由分数阶Hilfer非线性脉冲发展方程控制的非凸控制系统.建立了容许状态控制对的存在性。然后通过引入适当的测度值控制使系统凸化，得到松弛系统。进一步证明了所述类的松弛定理以及最优松弛控制的存在性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
