Author:
Benalia Karim,David Claire,Oukacha Brahim
Abstract
In this paper, we study the optimal time problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter. To begin with, we build an exact solution. The dependence of this solution as regards the scaling parameter naturally opens the way to study the existence and uniqueness of an optimal time control. If, moreover, one assumes the L∞ − null controllability, it enables to establish a bang-bang type property.
Subject
Management Science and Operations Research,Computer Science Applications,Theoretical Computer Science
Reference19 articles.
1. On the “bang-bang” control problem
2. Time-Optimal Control of Solutions of Operational Differenital Equations
3. A Remark on the “Bang-Bang” Principle for Linear Control Systems in Infinite-Dimensional Space
4. H.O. Fattorini and H.O. Fattorini. Infinite dimensional linear control systems. The time optimal and norm optimal problems. Vol. 201 of North-Holland Mathematics Studies. Elsevier Science B.V., Amsterdam (2005).
5. J.-L. Lions, Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles, Avant propos de P. Lelong. Dunod, Paris (1968).
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献