Optimization of Controlled Free-Time Sweeping Processes with Applications to Marine Surface Vehicle Modeling

Boris S. Mordukhovich; Dao Nguyen; Fernando Lobo Pereira; Nathalie T. Khalil; Tan H. Cao; Trang Nguyen

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Optimization of Controlled Free-Time Sweeping Processes with Applications to Marine Surface Vehicle Modeling

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arxiv 2105.03490 v1 pith:ODGIXN2E submitted 2021-05-07 math.OC

Tan H. Cao , Nathalie T. Khalil , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Fernando Lobo Pereira This is my paper · ORCID

classification math.OC

keywords conditionscontrolledfree-timemarineoptimaloptimalityprocessessurface

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The paper is devoted to a free-time optimal control problem for sweeping processes. We develop a constructive finite-difference approximation procedure that allows us to establish necessary optimality conditions for discrete optimal solutions and then show how these optimality conditions are applied to solving a controlled marine surface vehicle model.

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