Time-optimality by distance-optimality for parabolic control systems

2018/09/06 by Lucas Bonifacius, Karl Kunisch, Bonifacius, Lucas +1 · 1 citation
Computer Science · Engineering · Mathematics · #49K20 #49M15 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #math.OC #msc:49K20 #msc:49M15

paper · pdf · doi:10.48550/arxiv.1809.01965

openalex publication_date 2018/09/06 · arxiv created 2019/04/15 · arxiv updated 2019/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The equivalence of time-optimal and distance-optimal control problems is shown for a class of parabolic control systems. Based on this equivalence, an approach for the efficient algorithmic solution of time-optimal control problems is investigated. Numerical examples are provided to illustrate that the approach works well is practice.

Citations

• Projection onto the probability simplex: An efficient algorithm with a simple proof, and an application

Cited by

• On space-time FEM for time-optimal control problems governed by parabolic equations with mixed and endpoints constraints

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