Minimum Time Problem

Leonid T. Ashchepkov (), Dmitriy V. Dolgy, Taekyun Kim and Ravi P. Agarwal
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Leonid T. Ashchepkov: Department of Mathematics, Institute of Mathematics and Computer Technologies, Far Eastern Federal University
Dmitriy V. Dolgy: Kwangwoon Glocal Education Center, Kwangwoon University, Department of Mathematics, Institute of Mathematics and Computer Technologies Far Eastern Federal University Vladivostok, Russia
Taekyun Kim: Kwangwoon University, Department of Mathematics
Ravi P. Agarwal: Texas A&M University - Kingsville, Mathematics

Chapter Chapter 5 in Optimal Control, 2021, pp 63-75 from Springer

Abstract: Abstract We consider the two-point performance problem of translating a controlled object from one position to another one by trajectory of a linear system for minimal time. The conditions for solvability of the problem, the optimality criteria, and the relationship with Pontryagin’s maximum principle are defined. The stationary performance problem is studied in detail.

Date: 2021
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DOI: 10.1007/978-3-030-91029-7_5

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