Diffusive realization of operator solutions of certain operational partial differential equations

Michel Lenczner; Gérard Montseny

doi:10.1016/j.crma.2005.09.036

Optimal Control

Diffusive realization of operator solutions of certain operational partial differential equations

Presented by: Olivier Pironneau

Michel Lenczner ¹; Gérard Montseny ²

¹ North Carolina University, Campus Box 8205, 27695-8 Raileigh, NC, USA
² LAAS-CNRS, 7, avenue du Colonel Roche, 31077 Toulouse cedex, France

Comptes Rendus. Mathématique, Volume 341 (2005) no. 12, pp. 737-740.

Abstract
Résumé

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.

Cette Note concerne la réalisation d'opérateurs linéaires solutions d'équations aux dérivées partielles opérationnelles basée sur la méthode dite des réalisations diffusives. Elle permet d'envisager l'implantation de tels opérateurs sur des calculateurs ayant une architecture semi-décentralisée. L'intérêt 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.

Received: 2005-05-01
Accepted: 2005-09-27
Published online: 2005-11-16

DOI: 10.1016/j.crma.2005.09.036

Author's affiliations:

Michel Lenczner ¹; Gérard Montseny ²

¹ North Carolina University, Campus Box 8205, 27695-8 Raileigh, NC, USA
² LAAS-CNRS, 7, avenue du Colonel Roche, 31077 Toulouse cedex, France

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     title = {Diffusive realization of operator solutions of certain operational partial differential equations},
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     pages = {737--740},
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Michel Lenczner; Gérard Montseny. Diffusive realization of operator solutions of certain operational partial differential equations. Comptes Rendus. Mathématique, Volume 341 (2005) no. 12, pp. 737-740. doi : 10.1016/j.crma.2005.09.036. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.09.036/

References
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