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arXiv · 2004.11188

Properties of relaxed trajectories of non-linear fractional impulsive control systems

Divya Raghavan·Sukavanam Nagarajan
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Abstract

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.

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Divya Raghavan, Sukavanam Nagarajan. 2020-04-23. Properties of relaxed trajectories of non-linear fractional impulsive control systems. https://arxiv.org/abs/2004.11188

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