Contraction theory based synchronization analysis of impulsively coupled oscillators

被引：10
作者：
Jiang, Haibo [1 ,2 ]
Bi, Qinsheng [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China
[2] Yancheng Teachers Univ, Sch Math, Yancheng 224002, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 67卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Contraction theory; Partial contraction theory; Synchronization; Impulsively coupled oscillators; CHAOS; VAN; SYSTEMS;
D O I：
10.1007/s11071-011-0026-2
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Impulsively coupled oscillators which are assumed to interact with each other only at discrete times have many applications in practice. In this paper, we introduce the concept of partial contraction theory of impulsive systems, which is used to investigate the synchronization problem of impulsively coupled oscillators. Contraction analysis of two impulsively coupled oscillators and networked impulsively coupled oscillators is provided, respectively. Very simple but very general results for synchronization of impulsively coupled oscillators are derived. Numerical simulations show the effectiveness of our theoretical results.
引用
收藏
页码：781 / 791
页数：11
相关论文
共 25 条
[1]   A Lyapunov approach to incremental stability properties [J].
Angeli, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (03) :410-421
[2]   Synchronization of four coupled van der Pol oscillators [J].
Barron, Miguel A. ;
Sen, Mihir .
NONLINEAR DYNAMICS, 2009, 56 (04) :357-367
[3]   Chaos crisis in coupled Duffing's systems with initial phase difference [J].
Bi, Qinsheng .
PHYSICS LETTERS A, 2007, 369 (5-6) :418-431
[4]   Dynamics and modulated chaos for two coupled oscillators [J].
Bi, QS .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (01) :337-346
[5]  
Ditto W, 2002, NATURE, V415, P736, DOI 10.1038/415736b
[6]   Compositional contraction analysis of resetting hybrid systems [J].
El Rifai, Khalid ;
Slotine, Jean-Jacques E. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (09) :1536-1541
[7]   Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification [J].
Fotsin, HB ;
Woafo, P .
CHAOS SOLITONS & FRACTALS, 2005, 24 (05) :1363-1371
[8]   Synchronization of impulsively coupled systems [J].
Han, Xiuping ;
Lu, Jun-An ;
Wu, Xiaoqun .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (05) :1539-1549
[9]   Consensus of multi-agent linear dynamic systems via impulsive control protocols [J].
Jiang, Haibo ;
Yu, Jianjiang ;
Zhou, Caigen .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2011, 42 (06) :967-976
[10]   Impulsive synchronization of networked nonlinear dynamical systems [J].
Jiang, Haibo ;
Bi, Qinsheng .
PHYSICS LETTERS A, 2010, 374 (27) :2723-2729
123