Comments on "Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control" [Commun Nonlinear Sci Numer Simulat 2010;15:3754-3762]
Chaos synchronization;
Robust synchronization;
Lyapunov theorem;
Fractional order systems;
D O I:
10.1016/j.cnsns.2010.08.032
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this note some points to paper [L. Pan, W. Zhou, J. Fang, D. Li, Synchronization and antisynchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control, Commun Nonlinear Sci Numer Simulat 2010:15:3754-3762] are presented. Hereby, we illustrate that the way that authors in [1] treat with fractional version of Lyapunov stability theorem suffers lack of a correct justification. (C) 2010 Elsevier B.V. All rights reserved.
机构:
Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
Utah State Univ, Elect & Comp Engn Dept, Logan, UT 84322 USA
Utah State Univ, Ctr Self Organizing & Intelligent Syst CSOIS, Logan, UT 84322 USAUniv Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
Yin, Chun
Zhong, Shou-ming
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机构:
Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
Univ Elect Sci & Technol China, Minist Educ, Key Lab Neuroinformat, Chengdu 611731, Peoples R ChinaUniv Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
Zhong, Shou-ming
Chen, Wu-fan
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机构:
Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Peoples R ChinaUniv Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China