Suppressing chaos via Lyapunov–Krasovskii’s method
Author(s)
Author(s)
Kuang, J. L.
Meehan, P. A.
Date Issued
2006
Publisher
Elsevier
Journal
Chaos, Solitons & Fractals
Volume
27
Issue
5
Start page
1408
End page
1414
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.
SFU Affiliated Publication
No
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