Optimal Control for Distributed Linear Systems Subjected to Null Controllability with Constraints on the State

被引：0

作者：

Mercan, Michelle ^{[1
]}

机构：

[1] Laboratoire CEREGMIA, Université des Antilles et de La Guyane, Campus Fouillole, 97159 Pointe-à-Pitre, Guadeloupe (FWI), France

来源：

Springer Proceedings in Mathematics and Statistics | 2013年 / 37卷

关键词：

Observability - Partial differential equations;

D O I：

10.1007/978-1-4614-6345-0_11

中图分类号：

学科分类号：

摘要：

In this paper we apply the notion of hierarchical control on a distributed system in which the state is governed by a parabolic equation. This notion assumes that we have two controls where one will be the Leader and the other, the Follower. The first control is supposed to bring the solution of the parabolic equation subjected to finite number of constraints to rest at time T while the second expresses that the state does not move too far from a given state. The results are achieved by means of an observability inequality of Carleman adapted to the constraint. © Springer Science+Business Media New York 2013.

引用

页码：213 / 232

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