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A Simple Approach to Calculation and Control of Unstable Periodic Orbits in Chaotic Piecewise-Linear Systems.

Authors :
Ueta, Tetsushi
Chen, Guanrong
Kawabe, Tohru
Source :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Jan2001, Vol. 11 Issue 1, p215. 10p.
Publication Year :
2001

Abstract

This paper describes a simple method for calculating unstable periodic orbits (UPOs) and their control in piecewise-linear autonomous systems. The algorithm can be used to obtain any desired UPO embedded in a chaotic attractor, and the UPO can be stabilized by a simple state feedback control. A brief stability analysis of the controlled system is also given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02181274
Volume :
11
Issue :
1
Database :
Academic Search Index
Journal :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :
Academic Journal
Accession number :
6726898
Full Text :
https://doi.org/10.1142/S0218127401002092