controlling chaos;
hyperchaotic map;
Liapunov direct method;
stabilization;
tracking;
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摘要:
The Control of a hyperchaotic discrete system is investigated. A time-varying feedback control law is established on the base of local linearization. The Liapunov direct method is applied to estimate the neighborhood in which the control law can be effectively used. Numerical examples are presented to demonstrate the applications of the control law to solve the problem of stabilizing unstable periodic orbits and the problem of tracking an arbitrarily given periodic orbit.
机构:
Xi An Jiao Tong Univ, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
Zhu Da-Rui
Liu Chong-Xin
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机构:Xi An Jiao Tong Univ, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
Liu Chong-Xin
Yan Bing-Nan
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机构:Xi An Jiao Tong Univ, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
机构:
Univ Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, AlgeriaUniv Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria
Khennaoui, Amina-Aicha
Ouannas, Adel
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Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria
Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab EmiratesUniv Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria
Ouannas, Adel
Momani, Shaher
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机构:
Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates
Univ Jordan, Fac Sci, Dept Math, Amman 11942, JordanUniv Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria
Momani, Shaher
Dibi, Zohir
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Univ Larbi Ben Mhidi, Oum El Bouaghi, AlgeriaUniv Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria
Dibi, Zohir
Grassi, Giuseppe
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机构:
Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, ItalyUniv Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria
Grassi, Giuseppe
Baleanu, Dumitru
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机构:
Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
Inst Space Sci, Magurele 76900, RomaniaUniv Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria
Baleanu, Dumitru
Viet-Thanh Pham
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机构:
Ton Duc Thang Univ, Fac Elect & Elect Engn, Nonlinear Syst & Applicat, Ho Chi Minh City, VietnamUniv Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria
机构:
State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
Xi An Jiao Tong Univ, Sch Elect Engn, Xian 710049, Peoples R ChinaState Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
Wu Chao-Jun
Zhang Yan-Bin
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State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
Xi An Jiao Tong Univ, Sch Elect Engn, Xian 710049, Peoples R ChinaState Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
Zhang Yan-Bin
Yang Ning-Ning
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State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
Xi An Jiao Tong Univ, Sch Elect Engn, Xian 710049, Peoples R ChinaState Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
机构:
Jadavpur Univ, Dept Phys, Div High Energy Phys, Kolkata 700032, W Bengal, IndiaJadavpur Univ, Dept Phys, Div High Energy Phys, Kolkata 700032, W Bengal, India
Ray, Anirban
RoyChowdhury, A.
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机构:
Jadavpur Univ, Dept Phys, Div High Energy Phys, Kolkata 700032, W Bengal, IndiaJadavpur Univ, Dept Phys, Div High Energy Phys, Kolkata 700032, W Bengal, India
RoyChowdhury, A.
Mukherjee, Indranil
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机构:
W Bengal Univ Technol, Sch Management & Sci, Kolkata 700064, W Bengal, IndiaJadavpur Univ, Dept Phys, Div High Energy Phys, Kolkata 700032, W Bengal, India
Mukherjee, Indranil
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS,
2012,
7
(03):