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Comptes Rendus Mathématique
Volume 341, n° 12
pages 737-740 (décembre 2005)
Doi : 10.1016/j.crma.2005.09.036
Received : 1 May 2005 ;  accepted : 27 September 2005
Diffusive realization of operator solutions of certain operational partial differential equations
Réalisation diffusive dʼopérateurs solutions de certaines équations aux dérivées partielles opérationnelles

Michel Lenczner a , Gérard Montseny b
a North Carolina University, Campus Box 8205, 27695-8 Raileigh, NC, USA 
b LAAS-CNRS, 7, avenue du Colonel Roche, 31077 Toulouse cedex, France 


This Note is focused on the derivation of state-realizations of diffusive type for linear operator solutions of some linear partial differential operational equations. It allows the implementation of a large class of linear operators on semi-decentralized architectures. The practical interest of this work relates, for example, to the realization of optimal control law for linear partial differential equations. To cite this article: M. Lenczner, G. Montseny, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

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Cette Note concerne la réalisation dʼopérateurs linéaires solutions dʼéquations aux dérivées partielles opérationnelles basée sur la méthode dite des réalisations diffusives. Elle permet dʼenvisager lʼimplantation de tels opérateurs sur des calculateurs ayant une architecture semi-décentralisée. Lʼintérêt pratique du résultat est relatif à la mise en oeuvre de lois de contrôle optimal pour des problèmes régis par des équations aux dérivées partielles. Pour citer cet article : M. Lenczner, G. Montseny, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.

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