Target-oriented chaos control

Justine Dattani, Jack Blake, Frank M Hilker

Research output: Contribution to journal › Article

28 Citations (Scopus)

Abstract

Designing intervention methods to control chaotic behavior in dynamical systems remains a challenging problem, in particular for systems that are difficult to access or to measure. We propose a simple, intuitive technique that modifies the values of the state variables directly toward a certain target. The intervention takes into account the difference to the target value, and is a combination of traditional proportional feedback and constant feedback methods. It proves particularly useful when the target corresponds to the equilibrium of the uncontrolled system, and is available or can be estimated from expert knowledge (e.g. in biology and economy).
Original languageEnglish
Pages (from-to)3986-3992
Number of pages7
JournalPhysics Letters A
Volume375
Issue number45
DOIs
Publication statusPublished - Oct 2011

Fingerprint

chaos
economy
biology
dynamical systems

Cite this

Dattani, J., Blake, J., & Hilker, F. M. (2011). Target-oriented chaos control. Physics Letters A, 375(45), 3986-3992. https://doi.org/10.1016/j.physleta.2011.08.066

Target-oriented chaos control. / Dattani, Justine; Blake, Jack; Hilker, Frank M.

In: Physics Letters A, Vol. 375, No. 45, 10.2011, p. 3986-3992.

Research output: Contribution to journal › Article

Dattani, J, Blake, J & Hilker, FM 2011, 'Target-oriented chaos control', Physics Letters A, vol. 375, no. 45, pp. 3986-3992. https://doi.org/10.1016/j.physleta.2011.08.066
Dattani J, Blake J, Hilker FM. Target-oriented chaos control. Physics Letters A. 2011 Oct;375(45):3986-3992. https://doi.org/10.1016/j.physleta.2011.08.066
Dattani, Justine ; Blake, Jack ; Hilker, Frank M. / Target-oriented chaos control. In: Physics Letters A. 2011 ; Vol. 375, No. 45. pp. 3986-3992.
@article{110d014ca8414b7d8f4d0b579897a472,
title = "Target-oriented chaos control",
abstract = "Designing intervention methods to control chaotic behavior in dynamical systems remains a challenging problem, in particular for systems that are difficult to access or to measure. We propose a simple, intuitive technique that modifies the values of the state variables directly toward a certain target. The intervention takes into account the difference to the target value, and is a combination of traditional proportional feedback and constant feedback methods. It proves particularly useful when the target corresponds to the equilibrium of the uncontrolled system, and is available or can be estimated from expert knowledge (e.g. in biology and economy).",
author = "Justine Dattani and Jack Blake and Hilker, {Frank M}",
year = "2011",
month = "10",
doi = "10.1016/j.physleta.2011.08.066",
language = "English",
volume = "375",
pages = "3986--3992",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "45",

}

TY - JOUR

T1 - Target-oriented chaos control

AU - Dattani, Justine

AU - Blake, Jack

AU - Hilker, Frank M

PY - 2011/10

Y1 - 2011/10

N2 - Designing intervention methods to control chaotic behavior in dynamical systems remains a challenging problem, in particular for systems that are difficult to access or to measure. We propose a simple, intuitive technique that modifies the values of the state variables directly toward a certain target. The intervention takes into account the difference to the target value, and is a combination of traditional proportional feedback and constant feedback methods. It proves particularly useful when the target corresponds to the equilibrium of the uncontrolled system, and is available or can be estimated from expert knowledge (e.g. in biology and economy).

AB - Designing intervention methods to control chaotic behavior in dynamical systems remains a challenging problem, in particular for systems that are difficult to access or to measure. We propose a simple, intuitive technique that modifies the values of the state variables directly toward a certain target. The intervention takes into account the difference to the target value, and is a combination of traditional proportional feedback and constant feedback methods. It proves particularly useful when the target corresponds to the equilibrium of the uncontrolled system, and is available or can be estimated from expert knowledge (e.g. in biology and economy).

UR - http://www.scopus.com/inward/record.url?scp=80054057837&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1016/j.physleta.2011.08.066

U2 - 10.1016/j.physleta.2011.08.066

DO - 10.1016/j.physleta.2011.08.066

M3 - Article

VL - 375

SP - 3986

EP - 3992

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 45

ER -

Access to Document