Journal of Convex Analysis 31 (2024), No. 3, 787--825
Copyright Heldermann Verlag 2024
Pontryagin-Type Maximum Principle for a Controlled Sweeping Process with Nonsmooth and Unbounded Sweeping Set
Chadi Nour
Dept. of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon
cnour@lau.edu.lb
Vera Zeidan
Department of Mathematics, Michigan State University, East Lansing, U.S.A.
zeidan@msu.edu
The Pontryagin-type maximum principle derived in a recent article of the authors [Optimal control of nonconvex sweeping processes with separable endpoints: Nonsmooth maximum principle for local minimizers, J. Diff. Equations 318 (2022) 113--168] for optimal control problems involving sweeping processes is generalized to the case where the sweeping set C is nonsmooth and not necessarily bounded, namely, C is the intersection of a finite number of sublevel sets of smooth functions.
Keywords: Controlled sweeping process, optimal control, Pontryagin-type maximum principle, intersection of sublevel sets, nonsmooth analysis.
MSC: 49K21, 49K15, 49J52.
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