2003 Colloquium on Differential Equations and Applications,
Maracaibo, Venezuela.
Electron. J. Diff. Eqns., Conference 13, 2005, pp. 13-19.
Method of relaxation applied to optimization of discrete systems
Jean Louis Calvet, Juan Cardillo,
Jean Claude Hennet, Ferenc Szigeti
Abstract:
In this work, the relaxation method is presented and then applied
to the optimization of a family of discrete systems.
Thus, a condition for the relationship between the minimum of
the original problem and of the relaxed problem is translated
to an equivalent condition of minimum principle.
Several examples illustrate this technique and the condition
obtained.
Published May 30, 2005.
Math Subject Classifications: 93C65, 49M20, 74P20
Key Words: Discrete Systems; relaxation; optimization.
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Jean Louis Calvet
Laboratoire d'Analyse et d'Architecture de Systémes (LAAS)
du CNRS, Toulouse, France, LAAS-CNRS
email: calvet@laas.fr
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Juan Cardillo
Departamento de Sistemas de Control
Escuela de Ingeniería de Sistemas
Universidad de Los Andes, Mérida, Venezuela
email: ijuan@ula.ve |
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Jean Claude Hennet
Laboratoire d'Analyse et d'Architecture de Systémes (LAAS)
du CNRS, Toulouse, France, LAAS-CNRS
email: hennet@laas.fr |
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Ferenc Szigeti
Departamento de Sistemas de Control
Escuela de Ingeniería de Sistemas
Universidad de Los Andes, Mérida, Venezuela
email: fszigeti@icnet.com.ve |
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