Global Synchronization Stability for Stochastic Complex Dynamical Networks with Probabilistic Interval Time-Varying Delays

2011 ◽  
Vol 152 (2) ◽  
pp. 496-516 ◽  
Author(s):  
Hongjie Li ◽  
W. K. Wong ◽  
Yang Tang
Keyword(s):  
Complex Dynamical Networks ◽  
Time Varying ◽  
Global Synchronization ◽  
Dynamical Networks ◽  
Interval Time

scholarly journals Delay-Dependent Synchronization for Complex Dynamical Networks with Interval Time-Varying and Switched Coupling Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-16 ◽  
Author(s):  
T. Botmart ◽  
P. Niamsup
Keyword(s):  
Average Dwell Time ◽  
Complex Dynamical Networks ◽  
Delay Systems ◽  
Linear Matrix ◽  
Unitary Matrix ◽  
Fast Time ◽  
Time Varying ◽  
Dynamical Networks ◽  
Interval Time ◽  
Delay Dependent

We investigate the local exponential synchronization for complex dynamical networks with interval time-varying delays in the dynamical nodes and the switched coupling term simultaneously. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function. By using common unitary matrix for different subnetworks, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when subnetworks are synchronizable and nonsynchronizable, a delay-dependent sufficient condition is derived and formulated in the form of linear matrix inequalities (LMIs) by average dwell time approach and piecewise Lyapunov-Krasovskii functionals which are constructed based on the descriptor model of the system and the method of decomposition. The new stability condition is less conservative and is more general than some existing results. A numerical example is also given to illustrate the effectiveness of the proposed method.

Synchronization criteria of fuzzy complex dynamical networks with interval time-varying delays

2012 ◽  
Vol 218 (23) ◽  
pp. 11634-11647 ◽  
Author(s):  
M.J. Park ◽  
O.M. Kwon ◽  
Ju H. Park ◽  
S.M. Lee ◽  
E.J. Cha
Keyword(s):  
Complex Dynamical Networks ◽  
Time Varying ◽  
Dynamical Networks ◽  
Interval Time

Synchronization in complex dynamical networks with interval time-varying coupling delays

2013 ◽  
Vol 72 (1-2) ◽  
pp. 377-388 ◽  
Author(s):  
Jianping Zhou ◽  
Zhen Wang ◽  
Yanyan Wang ◽  
Qingkai Kong
Keyword(s):  
Complex Dynamical Networks ◽  
Time Varying ◽  
Dynamical Networks ◽  
Interval Time
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