Anticipating synchronization through optimal feedback control

被引:10
作者
Huang, Tingwen [2 ]
Gao, David [3 ]
Li, Chuandong [1 ]
Xiao, MingQing [4 ]
机构
[1] Chongqing Univ, Coll Comp Sci & Engn, Chongqing 400030, Peoples R China
[2] Texas A&M Univ Qatar, Doha, Qatar
[3] Univ Ballarat, Grad Sch Informat Technol & Math Sci, Ballarat, Vic 3353, Australia
[4] So Illinois Univ, Dept Math, Carbondale, IL 62901 USA
基金
中国国家自然科学基金;
关键词
Anticipating synchronization; Chaos; Linear matrix inequality (LMI); Feedback control; CHAOTIC SYNCHRONIZATION; LAG SYNCHRONIZATION; LASER-DIODES; SYSTEMS; COMMUNICATION;
D O I
10.1007/s10898-011-9665-6
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we investigate the anticipating synchronization of a class of coupled chaotic systems through discontinuous feedback control. The stability criteria for the involved error dynamical system are obtained by means of model transformation incorporated with Lyapunov functional and linear matrix inequality. Also, we discuss the optimal designed controller based on the obtained criteria. The numerical simulation is presented to demonstrate the theoretical results.
引用
收藏
页码:281 / 290
页数:10
相关论文
共 25 条
[1]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[2]   DIGITAL-COMMUNICATION WITH SYNCHRONIZED CHAOTIC LASERS [J].
COLET, P ;
ROY, R .
OPTICS LETTERS, 1994, 19 (24) :2056-2058
[3]   Modelling inventories in a network [J].
Craven, B. D. .
OPTIMIZATION LETTERS, 2007, 1 (04) :401-406
[4]   Anticipating synchronization of a class of chaotic systems [J].
Han, Qi ;
Li, Chuandong ;
Huang, Tingwen .
CHAOS, 2009, 19 (02)
[5]   Anticipating and projective-anticipating synchronization of coupled multidelay feedback systems [J].
Hoang, Thang Manh ;
Nakagawa, Masahiro .
PHYSICS LETTERS A, 2007, 365 (5-6) :407-411
[6]   Anticipating synchronization of chaotic Lur'e systems [J].
Huijberts, Henri ;
Nijmeijer, Henk ;
Oguchi, Toshiki .
CHAOS, 2007, 17 (01)
[7]   Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication [J].
Li, CD ;
Liao, XF ;
Wong, KW .
PHYSICA D-NONLINEAR PHENOMENA, 2004, 194 (3-4) :187-202
[8]   Anticipated synchronization in coupled chaotic maps with delays [J].
Masoller, C ;
Zanette, DH .
PHYSICA A, 2001, 300 (3-4) :359-366
[9]   Anticipation in the synchronization of chaotic semiconductor lasers with optical feedback [J].
Masoller, C .
PHYSICAL REVIEW LETTERS, 2001, 86 (13) :2782-2785
[10]   Prediction of chaotic behavior [J].
Oguchi, T ;
Nijmeijer, H .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (11) :2464-2472