Necessary conditions for optimal control problems with sweeping systems and end point constraints

2021/06/21 by Maria do Rosário de Pinho, de Pinho, M. d. R., M. M. A. Ferreira +3
Mathematics · Computer Science · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Optimization and Variational Analysis #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2106.11001

Abstract

We generalize the Maximum Principle for free end point optimal control problems involving sweeping systems derived in [9] to cover the case where the end point is constrained to take values in a certain set. As in [9], an ingenious smooth approximating family of standard differential equations plays a crucial role.

Related

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• Optimal control for coupled sweeping processes under minimal assumptions
• Optimal control problems with free right end point