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Séminaire du département Automatique du 13/09/2013 à 14h00

 

Positive stabilization of positive LTI systems

Intervenant : J. Dehaye, Université de Namur, Namur (Belgique)

Lieu : Salle des Séminaires du DAUTO, ENSE 3, Bat. B, B208

 

Résumé :

This seminar deals with the positive stabilization of positive LTI (linear time-invariant) systems.
 After recalling the basic concepts, we present  necessary and sufficient conditions for the positive
stabilizability of such systems. We then provide an algorithm synthesizing the main results,
allowing to check the positive stabilizability of positive systems and to design - if possible -
a gain matrix for the positive stabilization of the system. Finally, we apply this theory to a 
particular case of positive system in order to provide a simple example to the audience.

References:
[1] J.N. Dehaye, Stabilisation positive de systèmes différentiels linéaires : théorie et
application aux réacteurs tubulaires, Master thesis,  UNamur, 2010-2011.
[2] B. Roszak and E.J. Davison, Necessary and sufficient conditions for stabilizability of
positive LTI systems, Systems & Control Letters,  Vol. 58, 2009, pp. 474-481.


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