Graph completions for impulsive feedback controls

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Bressan, Alberto¹  Mazzola, Marco² 

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Univ Paris 06, Inst Math Jussieu, F-75252 Paris, France

关键词: Impulsive control systems;    Graph completion;    Feedback control;    Mechanical systems;   

DOI  :  10.1016/j.jmaa.2013.11.015

来源: Elsevier

【 摘 要 】

The paper considers impulsive control systems, where the evolution equation depends linearly on the time derivatives of the control function. The basic theory of graph completions is here extended to control functions in feedback form. In the case where the control u = u(t, x) is piecewise smooth, with a jump along a hypersurface Sigma in the t-x space, results are proved on the existence and uniqueness of solutions, and on their approximation by means, of smooth feedbacks. The paper is concluded with a couple of examples, concerning the feedback control of mechanical systems by means of active constraints. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free