Positive stabilization of infinite-dimensional linear systems

B. Abouzaid; J.J. Winkin; V. Wertz

doi:10.1109/CDC.2010.5717896

Positive stabilization of infinite-dimensional linear systems

B. Abouzaid, J.J. Winkin, V. Wertz

Namur Institute for Complex Systems

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Chapter

Abstract

The main goal of this paper is to give a short tutorial on the positivity and the positive stabilization of infinite dimensional linear systems together with some new points of view and perspectives. Algebraic conditions of positivity for dynamical systems defined on an ordered Banach space whose positive cone has an empty interior are derived. The positive stabilization problem for linear infinite-dimensional systems is also addressed. Sufficient conditions are established to stabilize positively a class of distributed parameter systems, such that the closed loop system is stable and positive.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Pages	845-850
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2010.5717896
Publication status	Published - 1 Jan 2010

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Positive stabilization of infinite-dimensional linear systems

Abstract

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