A variational approach to constrained controllability for distributed systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:416

Article

Berrahmoune, Larbi

关键词: Distributed systems;    Variational approach;    Constrained exact controllability;    Saturation;   

DOI  :  10.1016/j.jmaa.2014.03.004

来源: Elsevier

【 摘 要 】

We consider linear distributed control systems of the form y' (t) = Ay(t) Bu(t) where A generates a strongly continuous semigroup(e(tA))(t >= o) on an infinite dimensional Hilbert space Y. We suppose that the control operator B is bounded from the (Hilbert) control space U to Y. Taking into account eventual control constraint (such as saturation), we study the problem of exact controllability by using a variational approach. Applications to hyperbolic-like systems of the form z(t) + Az(t) = Bu(t) are treated. (C) 2014 Elsevier Inc. All rights reserved.

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