Absolute stability theory and the synchronization problem

被引:118
作者
Curran, PF [1 ]
Chua, LO [1 ]
机构
[1] UNIV CALIF BERKELEY,DEPT ELECT ENGN & COMP SCI,BERKELEY,CA 94720
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 06期
关键词
D O I
10.1142/S0218127497001096
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Several results on synchronization by Pecora and Carroll [1991], Cuomo and Oppenheim [1993] and Wu and Chua [1994] are evaluated in the context of absolute stability theory, with significant generalizations being achieved. A robustness property of the resulting synchronization criteria is established.
引用
收藏
页码:1375 / 1382
页数:8
相关论文
共 12 条
[1]  
BOYD S, 1994, SIAM STUDIES APPL MA, V15
[2]   A UNIVERSAL CIRCUIT FOR STUDYING AND GENERATING CHAOS .1. ROUTES TO CHAOS [J].
CHUA, LO ;
WU, CW ;
HUANG, AS ;
ZHONG, GQ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (10) :732-744
[3]   CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS [J].
CUOMO, KM ;
OPPENHEIM, AV .
PHYSICAL REVIEW LETTERS, 1993, 71 (01) :65-68
[4]   PROOF OF THE CIRCLE CRITERION FOR STATE-SPACE SYSTEMS VIA QUADRATIC LYAPUNOV FUNCTIONS .1. [J].
CURRAN, PF .
INTERNATIONAL JOURNAL OF CONTROL, 1993, 57 (04) :921-955
[5]  
HASLER M, 1994, CIRCUITS SYSTEMS TUT, P314
[6]  
Khalil H. K., 1992, NONLINEAR SYSTEMS
[7]  
KOCAREV L, 1992, INT J BIFURCAT CHAOS, V2, P709
[8]  
LaSalle J., 1961, Mathematics in science andengineering
[9]  
Parlitz U, 1992, INT J BIFURCAT CHAOS, V2, P973, DOI 10.1142/S0218127492000823
[10]   DRIVING SYSTEMS WITH CHAOTIC SIGNALS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW A, 1991, 44 (04) :2374-2383