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IMA Journal of Mathematical Control and Information 2005 22(1):109-118; doi:10.1093/imamci/dni009
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© Institute of Mathematics and its Applications 2005; all rights reserved. For permissions please email: journals.permissions@oupjournals.org

Constrained stabilization: an enlargement technique of positively invariant sets

Abdellah Benzaouia *

Research Unit: Constrained and Robust Regulation, Department of Physics, Faculty of Science Semlalia, P.B 2390, Marrakech, Morocco

This paper presents a new technique of enlargement of positively invariant sets for linear systems with input saturation. This technique is based on the use of the convex hull of the union of N preconstructed positively invariant sets. It is shown that the obtained region is a stability region where the control is always admissible.

Keywords: linear systems; input saturation; positive invariance; convex hull.

Received on 29 October 2003.

* Email: benzaouia{at}ucam.ac.ma


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