2023/10/16 by Giovanni Colombo, Boris S. Mordukhovich, Colombo, Giovanni +5
Computer Science · Engineering · Materials Science · #49J52 #49J53 #49K24 #49M25 #90C30 #Aerospace Engineering and Control Systems #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Structural mechanics and materials
paper · pdf · doi:10.48550/arxiv.2310.10782
openalex publication_date 2023/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the duration of the dynamic process into optimization. We develop a novel version of the method of discrete approximations of its own qualitative and numerical values with establishing its well-posedness and strong convergence to optimal solutions of the controlled sweeping process. Using advanced tools of first-order and second-order variational analysis and generalized differentiation allows us to derive new necessary conditions for optimal solutions of the discrete-time problems and then, by passing to the limit in the discretization procedure, for designated local minimizers in the original problem of sweeping optimal control. The obtained results are illustrated by a numerical example.