The novel control method of three dimensional discrete hyperchaotic Hénon map

•An adaptive control approach of discrete system is proposed.•This approach is more easy to implement.•The simulation results show the effectiveness of the proposed method. In this paper, based on the stability theorem of discrete systems and the idea of control theory, the novel three dimensional d...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 247; pp. 487 - 493
Main Authors Wang, Shao-Fu, Li, Xiao-Cong, Xia, Fei, Xie, Zhan-Shan
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.11.2014
Subjects
Adaptive control
Bifurcation
Control systems
Control theory
Discrete systems
Feasibility
Feedback control
Hyperchaotic discrete system
Hénon map
Mathematical analysis
Mathematical models
Orbits
Three dimensional
Bifurcation
Feedback control
Adaptive control
Hyperchaotic discrete system
Hénon map
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Summary:•An adaptive control approach of discrete system is proposed.•This approach is more easy to implement.•The simulation results show the effectiveness of the proposed method. In this paper, based on the stability theorem of discrete systems and the idea of control theory, the novel three dimensional discrete hyperchaotic Hénon map is analyzed and the feedback and adaptive control methods are presented, respectively to stabilize hyperchaotic Hénon map at different one-periodic orbits. The two methods are compared in different aspects. Numerical simulations show the feasibility and effectiveness of this method.
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.09.011