Suppressing chaos via Lyapunov-Krasovskii's method

J. L. Kuang; P. A. Meehan; A. Y T Leung

doi:10.1016/j.chaos.2005.05.022

Suppressing chaos via Lyapunov-Krasovskii's method

J. L. Kuang
, P. A. Meehan
, A. Y T Leung

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

18 Citations (Scopus)

Abstract

An algorithm for suppressing the chaotic oscillations in non-linear dynamical systems with singular Jacobian matrices is developed using a linear feedback control law based upon the Lyapunov-Krasovskii (LK) method. It appears that the LK method can serve effectively as a generalised method for the suppression of chaotic oscillations for a wide range of systems. Based on this method, the resulting conditions for undisturbed motions to be locally or globally stable are sufficient and conservative. The generalized Lorenz system and disturbed gyrostat equations are exemplified for the validation of the proposed feedback control rule. © 2005 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1408-1414
Journal	Chaos, Solitons and Fractals
Volume	27
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2005.05.022
Publication status	Published - Mar 2006

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title = "Suppressing chaos via Lyapunov-Krasovskii's method",

abstract = "An algorithm for suppressing the chaotic oscillations in non-linear dynamical systems with singular Jacobian matrices is developed using a linear feedback control law based upon the Lyapunov-Krasovskii (LK) method. It appears that the LK method can serve effectively as a generalised method for the suppression of chaotic oscillations for a wide range of systems. Based on this method, the resulting conditions for undisturbed motions to be locally or globally stable are sufficient and conservative. The generalized Lorenz system and disturbed gyrostat equations are exemplified for the validation of the proposed feedback control rule. {\textcopyright} 2005 Elsevier Ltd. All rights reserved.",

author = "Kuang, \{J. L.\} and Meehan, \{P. A.\} and Leung, \{A. Y T\}",

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TY - JOUR

T1 - Suppressing chaos via Lyapunov-Krasovskii's method

AU - Kuang, J. L.

AU - Meehan, P. A.

AU - Leung, A. Y T

PY - 2006/3

Y1 - 2006/3

N2 - An algorithm for suppressing the chaotic oscillations in non-linear dynamical systems with singular Jacobian matrices is developed using a linear feedback control law based upon the Lyapunov-Krasovskii (LK) method. It appears that the LK method can serve effectively as a generalised method for the suppression of chaotic oscillations for a wide range of systems. Based on this method, the resulting conditions for undisturbed motions to be locally or globally stable are sufficient and conservative. The generalized Lorenz system and disturbed gyrostat equations are exemplified for the validation of the proposed feedback control rule. © 2005 Elsevier Ltd. All rights reserved.

AB - An algorithm for suppressing the chaotic oscillations in non-linear dynamical systems with singular Jacobian matrices is developed using a linear feedback control law based upon the Lyapunov-Krasovskii (LK) method. It appears that the LK method can serve effectively as a generalised method for the suppression of chaotic oscillations for a wide range of systems. Based on this method, the resulting conditions for undisturbed motions to be locally or globally stable are sufficient and conservative. The generalized Lorenz system and disturbed gyrostat equations are exemplified for the validation of the proposed feedback control rule. © 2005 Elsevier Ltd. All rights reserved.

UR - https://www.scopus.com/pages/publications/24944522747

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-24944522747&origin=recordpage

U2 - 10.1016/j.chaos.2005.05.022

DO - 10.1016/j.chaos.2005.05.022

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 27

SP - 1408

EP - 1414

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

Suppressing chaos via Lyapunov-Krasovskii's method

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