Controlling chaotic nonlinear dynamical systems

Author

Hernández, C. ; Martínez, A. ; Castellanos, J. ; Mingo, L.F.

Author_Institution

Fac. de Inf., Univ. Politecnica de Madrid, Spain

Volume

3

fYear

1999

fDate

1999

Firstpage

1231

Abstract

Controlling chaos is a concept which many researchers have recently focused their attention on. This paper proposes a back propagation neural network to control chaotic trajectories belonging to discrete-time systems in order to obtain their unsteady equilibrium and their limit cycles (multi-period orbits); improving problems that arise in other control methods, being equally effective when dealing with relatively small random dynamical noise. The obtained results have been very successful especially when dealing with chaotic dynamical systems

Keywords

backpropagation; chaos; discrete time systems; limit cycles; neural nets; nonlinear dynamical systems; backpropagation neural network; chaos control; chaotic nonlinear dynamical systems; chaotic trajectories; discrete-time systems; limit cycles; multi-period orbits; random dynamical noise; stable chaotic dynamical systems; unsteady equilibrium; Chaos; Control systems; Error analysis; Neural networks; Newton method; Nonlinear control systems; Nonlinear dynamical systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 1999. Proceedings of ICECS '99. The 6th IEEE International Conference on

Conference_Location

Pafos

Print_ISBN

0-7803-5682-9

Type

conf

DOI

10.1109/ICECS.1999.814391

Filename

814391