Publication detail

A Note about Robust Stabilization of Chaotic Hénon System Using Grammatical Evolution

MATOUŠEK, R. DOBROVSKÝ, L. MINÁŘ, P. MOURALOVÁ, K.

Original Title

A Note about Robust Stabilization of Chaotic Hénon System Using Grammatical Evolution

Type

journal article in Scopus

Language

English

Original Abstract

The paper deals with robust stabilization of a well-known deterministic discrete chaotic system denoted as Hénon map. By means of proper utilization of metaheuristic optimization tool, the Grammatical Evolution (GE) can synthesise a new robust control law. As a model of deterministic chaotic system the two-dimensional Hénon map with original definition was used. The Hénon map is an iterated discrete-time system which exhibits chaotic behaviour in two-dimension. Stabilization for the period-2 orbits of the two-dimensional Hénon map is presented. The chaotic system stabilization is based on a time-delay auto-synchronization with its own synthesized control law.

Keywords

Delayed feedback control; Deterministic chaos; ETDAS; Grammatical evolution; HC12; Hennon equation; Metaheuristic optimization; TDAS

Authors

MATOUŠEK, R.; DOBROVSKÝ, L.; MINÁŘ, P.; MOURALOVÁ, K.

RIV year

2014

Released

1. 6. 2014

Publisher

Springer

Location

Germany

ISBN

2194-5357

Periodical

Advances in Intelligent Systems and Computing

Year of study

2014

Number

289

State

Swiss Confederation

Pages from

219

Pages to

228

Pages count

10

URL

http://link.springer.com/chapter/10.1007%2F978-3-319-07401-6_21

BibTex

@article{BUT114129,
  author="Radomil {Matoušek} and Ladislav {Dobrovský} and Petr {Minář} and Kateřina {Mouralová}",
  title="A Note about Robust Stabilization of Chaotic Hénon System Using Grammatical Evolution",
  journal="Advances in Intelligent Systems and Computing",
  year="2014",
  volume="2014",
  number="289",
  pages="219--228",
  doi="10.1007/978-3-319-07401-6\{_}21",
  issn="2194-5357",
  url="http://link.springer.com/chapter/10.1007%2F978-3-319-07401-6_21"
}