Exponential stability criterion for chaos synchronization in modulated time-delayed systems

被引：8

作者：

Ghosh, Dibakar ^{[1
]}

Banerjee, Santo ^{[2
,3
]}

机构：

[1] Dinabandhu Andrews Coll, Dept Math, Kolkata 700084, W Bengal, India

[2] Politecn Torino, Dept Math, I-10128 Turin, Italy

[3] Techfab Srl, Micro & Nano Technol Div, Chivasso, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期

关键词：

Chaos synchronization; Exponential stability; Delayed system; Modulated delay time; Krasovskii-Lyapunov theory; GENERALIZED SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; PHASE SYNCHRONIZATION; TRANSITION; SCHEME;

D O I：

10.1016/j.nonrwa.2010.01.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider two unidirectionally coupled time delayed systems with periodic delay time modulation. A new stability condition for synchronization is derived analytically with the help of the Krasovskii-Lyapunov approach for single and two time delays. The numerical calculations greatly support our analytical results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3704 / 3710

页数：7

共 50 条

[31] Complete and generalized synchronization of chaos and hyperchaos in a coupled first-order time-delayed system
Tanmoy Banerjee
Debabrata Biswas
B. C. Sarkar
Nonlinear Dynamics, 2013, 71 : 279 - 290
[32] Well-posedness and exponential stability of the Kawahara equation with a time-delayed localized damping
Chentouf, Boumediene
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (16) : 10312 - 10330
[33] Anticipatory, complete and lag synchronization of chaos and hyperchaos in a nonlinear delay-coupled time-delayed system
Tanmoy Banerjee
Debabrata Biswas
B. C. Sarkar
Nonlinear Dynamics, 2013, 72 : 321 - 332
[34] Synchronization of stochastic complex networks with time-delayed coupling
Duolan
Xiang, Linying
Chen, Guanrong
CHINESE PHYSICS B, 2023, 32 (06)
[35] Different regimes of synchronization in nonidentical time-delayed maps
Masoller, C
Zanette, DH
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 325 (3-4) : 361 - 370
[36] Time-delayed chameleon: Analysis, synchronization and FPGA implementation
Rajagopal, Karthikeyan
Jafari, Sajad
Laarem, Guessas
PRAMANA-JOURNAL OF PHYSICS, 2017, 89 (06):
[37] Exponential stability criterion for time-delay systems with nonlinear uncertainties
Nam, Phan T.
APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (02) : 374 - 380
[38] Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication
Li, CD
Liao, XF
Wong, KW
PHYSICA D-NONLINEAR PHENOMENA, 2004, 194 (3-4) : 187 - 202
[39] An improved criterion for exponential stability of linear systems with multiple time delays
Nam, Phan T.
APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 870 - 876
[40] The criterion of exponential stability for uncertain systems with time-varying delay
Zhu, Lihong
Ma, Yuechao
Journal of Computational Information Systems, 2013, 9 (12): : 5005 - 5011

← 1 2 3 4 5 →