Impulsive Control and Synchronization of Complex Lorenz Systems

被引：5
作者：
Aly, Shaban [1 ,2 ]
Al-Qahtani, Ali [1 ]
Khenous, Houari B. [1 ]
Mahmoud, Gamal M. [3 ,4 ]
机构：
[1] King Khalid Univ, Fac Sci, Dept Math, Abha, Saudi Arabia
[2] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71511, Egypt
[3] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt
[4] Taibah Univ, Fac Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
CHAOS SYNCHRONIZATION; NONLINEAR-SYSTEMS; BIFURCATION; ATTRACTORS; EQUATIONS; BEHAVIOR; DYNAMOS;
D O I：
10.1155/2014/932327
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we continue our investigations on control and synchronization of the complex Lorenz systems by investigating impulsive control and synchronization. Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems; For example, many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, population dynamics and so forth do exhibit impulsive effects. Some new and more comprehensive criteria for global exponential stability and asymptotical stability of impulsively controlled complex Lorenz systems are established with varying impulsive intervals. The effectiveness of the proposed technique is verified through numerical simulations.
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页数：9
相关论文
共 34 条
[1]   Impulsive control and synchronization of unified chaotic system [J].
Chen, SH ;
Yang, Q ;
Wang, CP .
CHAOS SOLITONS & FRACTALS, 2004, 20 (04) :751-758
[2]   NEW EXACT-SOLUTIONS OF THE COMPLEX LORENZ EQUATIONS [J].
FLESSAS, GP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (05) :L137-L141
[3]   THE REAL AND COMPLEX LORENZ EQUATIONS AND THEIR RELEVANCE TO PHYSICAL SYSTEMS [J].
FOWLER, AC ;
GIBBON, JD ;
MCGUINNESS, MJ .
PHYSICA D, 1983, 7 (1-3) :126-134
[4]   State estimation for a class of discrete nonlinear systems with randomly occurring uncertainties and distributed sensor delays [J].
Hu, Jun ;
Chen, Dongyan ;
Du, Junhua .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2014, 43 (3-4) :387-401
[5]   Recursive filtering with random parameter matrices, multiple fading measurements and correlated noises [J].
Hu, Jun ;
Wang, Zidong ;
Gao, Huijun .
AUTOMATICA, 2013, 49 (11) :3440-3448
[6]   Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements [J].
Hu, Jun ;
Wang, Zidong ;
Shen, Bo ;
Gao, Huijun .
INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (04) :650-663
[7]   NONLINEAR DYNAMOS - A COMPLEX GENERALIZATION OF THE LORENZ EQUATIONS [J].
JONES, CA ;
WEISS, NO ;
CATTANEO, F .
PHYSICA D, 1985, 14 (02) :161-176
[8]  
LAKSHMIKANTHAM V, 1989, SERIES MODERN APPL M
[9]   Adaptive control and synchronization of Lorenz systems [J].
Liao, TL ;
Lin, SH .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1999, 336 (06) :925-937
[10]   Adaptive synchronization of two Lorenz systems [J].
Liao, TL .
CHAOS SOLITONS & FRACTALS, 1998, 9 (09) :1555-1561
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