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

2020/04/23 by Divya Raghavan, Raghavan, Divya, Sukavanam Nagarajan +1
Mathematics · #26A33 #37L05 #49J45 #49N25 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DS #math.OC #msc:26A33 #msc:37L05 #msc:49J45 #msc:49N25

paper · pdf · doi:10.48550/arxiv.2004.11188

21 pages

arxiv created 2022/05/28 · arxiv updated 2022/05/31

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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