Positive stabilization of a class of infinite-dimensional positive systems

M. Elarbi Achhab, Joseph J. Winkin

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Abstract

For a class of positive unstable infinite-dimensional linear systems, a method is described for computing a positively stabilizing state feedback, such that the resulting input trajectory remains in an affine cone. This design results in a possibly negative lower bound on the input, which makes the resulting closed-loop system stable and which maintains the nonnegativity of the state trajectory for specific initial states.

Original languageEnglish
Title of host publicationPositive Systems
Subtitle of host publicationTheory and Applications, POSTA 2016
PublisherSpringer Verlag
Pages191-200
Number of pages10
ISBN (Print)9783319542102
DOIs
Publication statusPublished - 1 Jan 2017
Event5th International Symposium on Positive Systems, POSTA 2016 - Rome, Italy
Duration: 14 Sep 201616 Sep 2016

Publication series

NameLecture Notes in Control and Information Sciences
Volume471
ISSN (Print)0170-8643

Conference

Conference5th International Symposium on Positive Systems, POSTA 2016
CountryItaly
City Rome
Period14/09/1616/09/16

Keywords

  • Affine cone
  • Infinite dimensional systems
  • Positive linear systems
  • Positive stabilization
  • State feedback

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