We introduce the definition of full state hybrid projective synchronization (FSHPS) with complex scaling factors for chaotic and hyperchaotic complex systems and design adaptive FSHPS schemes for uncertain chaotic complex systems under bounded disturbances with all possible situations of unknown parameters. The proposed schemes guarantee adaptive FSHPS between two chaotic complex systems with a small error bound and the convergence factors and dynamical control strength are added to regulate the convergence speed and increase robustness. Then we draw on the sufficient condition and necessary condition that the unknown parameters converge to their true values based on the persistency of excitation (PE) and linear independence (LI). At last, we realize adaptive FSHPS between uncertain complex Chen and Lü systems, which verify the feasibility and effectiveness of the presented schemes.
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April 2014
Research-Article
Full State Hybrid Projective Synchronization and Parameters Identification for Uncertain Chaotic (Hyperchaotic) Complex Systems Available to Purchase
Fangfang Zhang,
Fangfang Zhang
1
e-mail: zhff4u@163.com
1Corresponding author.
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Shutang Liu
Shutang Liu
e-mail: stliu@sdu.edu.cn
Shandong University,
Jinan 250061, China
College of Control Science and Engineering
,Shandong University,
No. 17923 Jingshi Road
,Jinan 250061, China
Search for other works by this author on:
Fangfang Zhang
e-mail: zhff4u@163.com
Shutang Liu
e-mail: stliu@sdu.edu.cn
Shandong University,
Jinan 250061, China
College of Control Science and Engineering
,Shandong University,
No. 17923 Jingshi Road
,Jinan 250061, China
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received February 6, 2013; final manuscript received September 4, 2013; published online October 30, 2013. Assoc. Editor: Eric A. Butcher.
J. Comput. Nonlinear Dynam. Apr 2014, 9(2): 021009 (9 pages)
Published Online: October 30, 2013
Article history
Received:
February 6, 2013
Revision Received:
September 4, 2013
Citation
Zhang, F., and Liu, S. (October 30, 2013). "Full State Hybrid Projective Synchronization and Parameters Identification for Uncertain Chaotic (Hyperchaotic) Complex Systems." ASME. J. Comput. Nonlinear Dynam. April 2014; 9(2): 021009. https://doi.org/10.1115/1.4025475
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