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Adaptive Modified Function Projective Lag Synchronization of Uncertain Hyperchaotic Dynamical Systems with the Same or Different Dimension and Structure
Joint Authors
Chai, Xiuli
Gan, Zhihua
Shi, Chunxiao
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Modified function projective lag synchronization (MFPLS) of uncertain hyperchaotic dynamical systems with the same or different dimensions and structures is studied.
Based on Lyapunov stability theory, a general theorem for controller designing, parameter update rule designing, and control gain strength adapt law designing is introduced by using adaptive control method.
Furthermore, the scheme is applied to four typical examples: MFPLS between two five-dimensional hyperchaotic systems with the same structures, MFPLS between two four-dimensional hyperchaotic systems with different structures, MFPLS between a four-dimensional hyperchaotic system and a three-dimensional chaotic system and MFPLS between a novel three-dimensional chaotic system, and a five-dimensional hyperchaotic system.
And the system parameters are all uncertain.
Corresponding numerical simulations are performed to verify and illustrate the analytical results.
American Psychological Association (APA)
Chai, Xiuli& Gan, Zhihua& Shi, Chunxiao. 2013. Adaptive Modified Function Projective Lag Synchronization of Uncertain Hyperchaotic Dynamical Systems with the Same or Different Dimension and Structure. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-1008910
Modern Language Association (MLA)
Chai, Xiuli…[et al.]. Adaptive Modified Function Projective Lag Synchronization of Uncertain Hyperchaotic Dynamical Systems with the Same or Different Dimension and Structure. Mathematical Problems in Engineering No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-1008910
American Medical Association (AMA)
Chai, Xiuli& Gan, Zhihua& Shi, Chunxiao. Adaptive Modified Function Projective Lag Synchronization of Uncertain Hyperchaotic Dynamical Systems with the Same or Different Dimension and Structure. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-1008910
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008910