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Stability of evolutionary algorithms

Name: Stability of evolutionary algorithms
Creator: Ombach, Jerzy
Keywords: Lyapunov function, evolutionary algorithm, global optimization, Evolutionary algorithm, Applied Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Global optimization, Foias operator, 02 engineering and technology, 0101 mathematics

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2008 Poland Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 342, pages 326-333 (issn: 0022-247X,

Authors: Ombach, Jerzy;

doi: 10.1016/j.jmaa.2007.12.006

Stability of evolutionary algorithms

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Abstract

AbstractWe prove under mild conditions the convergence of some evolutionary algorithm to the solution of the global optimization problem. In the proof, the Lyapunov function's techniques is applied to some semi-dynamical system generated by a Foias operator on the space of the probability measures defined on the set of admissible solutions.

Country

Poland

Related Organizations

Jagiellonian University
Poland

Keywords

Lyapunov function, evolutionary algorithm, global optimization, Evolutionary algorithm, Applied Mathematics, Global optimization, Foias operator, Analysis

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