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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Design Of Advanced Targeting Cost Function For Evolutionary
Optimization Of Chaos Control |
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Authors: |
Roman Senkerik, Ivan Zelinka, Zuzana Oplatkova |
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Published in:
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(2009).ECMS
2009 Proceedings edited by J. Otamendi, A. Bargiela, J. L. Montes, L. M. Doncel
Pedrera. European Council for Modeling and
Simulation. doi:10.7148/2009 ISBN: 978-0-9553018-8-9 23rd
European Conference on Modelling and Simulation, Madrid, June
9-12, 2009 |
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Citation
format: |
Senkerik, R., Zelinka,
I., & Oplatkova, Z. (2009). Design Of Advanced
Targeting Cost Function For Evolutionary Optimization Of Chaos Control. ECMS
2009 Proceedings edited by J. Otamendi, A. Bargiela, J. L. Montes, L. M. Doncel Pedrera (pp.
122-128). European Council for Modeling and Simulation. doi:10.7148/2009-0122-0128 |
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DOI: |
http://dx.doi.org/10.7148/2009-0122-0128 |
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Abstract: |
This research deals with the
optimization of the control of chaos by means of evolutionary algorithms. The
main aim of this work is to show that powerful optimizing tools like
evolutionary algorithms can in reality be used for the optimization of
deterministic chaos control. This work is aimed on an explanation of how to
use evolutionary algorithms (EAs) and how to
properly define the advanced targeting cost function (CF) securing very fast
and precise stabilization of desired state for any initial conditions. As a
model of deterministic chaotic system, the two dimensional Henon map was used. The evolutionary algorithm Self-
Organizing Migrating Algorithm (SOMA) was used in four versions. For each
version, repeated simulations were conducted to outline the effectiveness and
robustness of used method and targeting CF. |
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