Graph completions for impulsive feedback controls - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Mathematical Analysis and Applications Year : 2014

Graph completions for impulsive feedback controls

Abstract

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 Σ 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.

Dates and versions

hal-01067326 , version 1 (23-09-2014)

Identifiers

Cite

Alberto Bressan, Marco Mazzola. Graph completions for impulsive feedback controls. Journal of Mathematical Analysis and Applications, 2014, 412 (2), pp.976-988. ⟨10.1016/j.jmaa.2013.11.015⟩. ⟨hal-01067326⟩
81 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More