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

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...

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Published in:arXiv.org 2021-06
Main Authors: M d R de Pinho, Ferreira, M Margarida A, Smirnov, Georgi
Format: Article
Language:English
Subjects:
Constraints
Control systems
Differential equations
Maximum principle
Optimal control
Sweeping
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Ferreira, M Margarida A
Smirnov, Georgi
description 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.
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subjects Constraints
Control systems
Differential equations
Maximum principle
Optimal control
Sweeping
title Necessary conditions for optimal control problems with sweeping systems and end point constraints
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