Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Controlled sweeping process
  • optimal control
  • Pontryagin-type maximum principle
  • intersection of sublevel sets
  • nonsmooth analysis

Mathematics Subject Classification

49K21, 49K15, 49J52

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Suggested citation

C. Nour, V. Zeidan. “Pontryagin-Type Maximum Principle for a Controlled Sweeping Process with Nonsmooth and Unbounded Sweeping Set.” Journal of Convex Analysis 31 (2024), No. 3, 787–825. https://doi.org/10.68381/jca31039

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