Graph completions for impulsive feedback controls

Alberto Bressan, Marco Mazzola

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)976-988
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume412
Issue number2
DOIs
StatePublished - Apr 15 2014

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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