Anticontrol of chaos via feedback

Guanrong Chen; Dejian Lai

doi:10.1109/CDC.1997.650650

Anticontrol of chaos via feedback

Guanrong Chen
, Dejian Lai

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

65 Citations (Scopus)

Abstract

In this paper, a simple control method that combines a linear state-feedback with a nonlinear mod-operation is proposed for making an arbitrarily given, deterministic, discrete-time, dynamical systems chaotic. The given system can be arbitrary in the sense that it can be either linear or nonlinear, lower or higher-dimensional, asymptotically stable, unstable, or chaotic. The resulting controlled system is chaotic in the sense that the controlled map (i) has sensitive dependence on initial conditions, (ii) is topologically transitive, and (iii) has a dense set of periodic points.

Original language	English
Pages (from-to)	367-372
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
DOIs	https://doi.org/10.1109/CDC.1997.650650
Publication status	Published - 1997
Externally published	Yes
Event	36th IEEE Conference on Decision and Control (CDC 1997) - Hyatt Regency San Diego, San Diego, United States Duration: 10 Dec 1997 → 12 Dec 1997

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abstract = "In this paper, a simple control method that combines a linear state-feedback with a nonlinear mod-operation is proposed for making an arbitrarily given, deterministic, discrete-time, dynamical systems chaotic. The given system can be arbitrary in the sense that it can be either linear or nonlinear, lower or higher-dimensional, asymptotically stable, unstable, or chaotic. The resulting controlled system is chaotic in the sense that the controlled map (i) has sensitive dependence on initial conditions, (ii) is topologically transitive, and (iii) has a dense set of periodic points.",

author = "Guanrong Chen and Dejian Lai",

year = "1997",

doi = "10.1109/CDC.1997.650650",

language = "English",

volume = "1",

pages = "367--372",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "IEEE",

note = "36th IEEE Conference on Decision and Control (CDC 1997), CDC 1997 ; Conference date: 10-12-1997 Through 12-12-1997",

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AU - Chen, Guanrong

AU - Lai, Dejian

PY - 1997

Y1 - 1997

N2 - In this paper, a simple control method that combines a linear state-feedback with a nonlinear mod-operation is proposed for making an arbitrarily given, deterministic, discrete-time, dynamical systems chaotic. The given system can be arbitrary in the sense that it can be either linear or nonlinear, lower or higher-dimensional, asymptotically stable, unstable, or chaotic. The resulting controlled system is chaotic in the sense that the controlled map (i) has sensitive dependence on initial conditions, (ii) is topologically transitive, and (iii) has a dense set of periodic points.

AB - In this paper, a simple control method that combines a linear state-feedback with a nonlinear mod-operation is proposed for making an arbitrarily given, deterministic, discrete-time, dynamical systems chaotic. The given system can be arbitrary in the sense that it can be either linear or nonlinear, lower or higher-dimensional, asymptotically stable, unstable, or chaotic. The resulting controlled system is chaotic in the sense that the controlled map (i) has sensitive dependence on initial conditions, (ii) is topologically transitive, and (iii) has a dense set of periodic points.

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UR - https://www.scopus.com/pages/publications/0031344289#tab=impact

U2 - 10.1109/CDC.1997.650650

DO - 10.1109/CDC.1997.650650

M3 - RGC 22 - Publication in policy or professional journal

SN - 0191-2216

VL - 1

SP - 367

EP - 372

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 36th IEEE Conference on Decision and Control (CDC 1997)

Y2 - 10 December 1997 through 12 December 1997

ER -

Anticontrol of chaos via feedback

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