NDLI: Control of fractional order chaotic system via Hermit eigenvalue analysis

Content Provider	IEEE Xplore Digital Library
Author	Jie Liu Pengzhen Dong Lifen Xing Xinjie Li
Copyright Year	2010
Description	Author affiliation: College of Science, Wuhan University of Science and Engineering, 430073, China (Jie Liu; Pengzhen Dong; Lifen Xing; Xinjie Li)
Abstract	In this brief paper, some new results for stability analysis of fractional order time variant ordinary differential systems (ODEs) are given. These results are directly extended based on related results of commensurate integer order ODEs, which were always ignored by some researchers in the research field of fractional dynamics analysis. Main results are proved to be right via stability region analysis, since the stability region of a commensurate fractional order system must be much larger than that of a integral order one. Based on our main theoretical results, one can design practical control scheme for some fractional dynamical system. Our theoretical analysis corrected some existing wrong usage of eigenvalue analysis method on dynamics of time variant ordinary differential systems. Finally, by taking the fractional Lorenz chaotic system as an example, a simple linear feedback control strategy is designed for stabilizing the the states of the Lorenz system by adjusting only one key control parameter according to the Hermit eigenvalues analysis results. Numerical results show the rightness of the theoretical analysis.
Starting Page	2126
Ending Page	2131
File Size	1524459
Page Count	6
File Format	PDF
ISBN	9781424451814
DOI	10.1109/CCDC.2010.5498879
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-05-26
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaos Control system analysis Circuits Magnetohydrodynamic power generation Control systems Stability analysis Feedback control Chaos control Hermit eigenvalue analysis Linear feedback control systems Differential equations Fractional order chaotic system Eigenvalues and eigenfunctions
Content Type	Text
Resource Type	Article

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