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The Complex Geometry of the Mandelbrot Set Read chapter Read first chapter

2014 | OriginalPaper | Chapter

On the Development of Complex Cost Function for the Evolutionary Chaos Control: A Brief Study

Authors : Roman Senkerik, Ivan Zelinka, Michal Pluhacek, Zuzana Kominkova Oplatkova, Roman Jasek

Published in: ISCS 2013: Interdisciplinary Symposium on Complex Systems

Publisher: Springer Berlin Heidelberg

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Abstract

This work represents the brief introduction into the issue of development of complex cost function for evolutionary optimization of control of discrete chaotic systems. This work introduces briefly the evolutionary approach representing tuning of parameters for an existing control method. The main part of this work is focused on the process of development of the proper cost function design used within the evolutionary process. As an example of discrete chaotic system, two-dimensional Hénon map was used.

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previous chapter Investigation on the Dynamics of PSO Algorithm Enhanced with Chaotic Lozi Map
next chapter 4-D Seismic Tomography for the Complex System of Strong Earthquakes: Formulation of a Problem
Literature
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Senkerik, R., Zelinka, I., Davendra, D., Oplatkova, Z.: Evolutionary design of chaos control in 1D. In: Zelinka, I., Celikovski, S., Richter, H., Chen, G. (eds.) Evolutionary Algorithms and Chaotic Systems, pp. 165–190. Springer-Verlag, Berlin (2010)
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Senkerik, R., Oplatkova, Z., Zelinka, I., Jasek, R.: Application of Analytic Programming for Evolutionary Synthesis of Control Law—Introduction of Two Approaches. In: Byrski, A., Oplatkova, Z., Carvalho, M., Kisiel-Dorohinicki, M. (eds) Advances in Intelligent Modelling and Simulation: Studies in Computational Intelligence. Springer Berlin Heidelberg, vol 416, pp 253–268 (2012) doi:10.1007/978-3-642-28888-3_10
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Senkerik, R., Oplatkova, Z., Zelinka, I., Davendra, D., Jasek, R.: Application of evolutionary techniques for optimization of Chaos control—introduction of three approaches. In: Zelinka, I., Snasel, V., Abraham, A. (eds.) Handbook of Optimization, vol 38. Intelligent Systems Reference Library. Springer Berlin Heidelberg, pp 801–820 (2013) doi:10.1007/978-3-642-30504-7_31
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Kominkova, Oplatkova Z., Senkerik, R., Zelinka, I., Pluhacek, M.: Analytic programming in the task of evolutionary synthesis of a controller for high order oscillations stabilization of discrete chaotic systems. Comput. Math. Appl. 66(2013), 177–189 (2013)CrossRef
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Metadata
Title
On the Development of Complex Cost Function for the Evolutionary Chaos Control: A Brief Study
Authors
Roman Senkerik
Ivan Zelinka
Michal Pluhacek
Zuzana Kominkova Oplatkova
Roman Jasek
Copyright Year
2014
Publisher
Springer Berlin Heidelberg
Book
ISCS 2013: Interdisciplinary Symposium on Complex Systems

Print ISBN: 978-3-642-45437-0

Electronic ISBN: 978-3-642-45438-7

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-642-45438-7_36

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