Synchronization of Markovian jumping stochastic complex networks with distributed time delays and probabilistic interval discrete time-varying delays

2010 ◽  
Vol 43 (10) ◽  
pp. 105101 ◽  
Author(s):  
Hongjie Li ◽  
Dong Yue
Keyword(s):  
Complex Networks ◽  
Discrete Time ◽  
Time Delays ◽  
Time Varying ◽  
Markovian Jumping ◽  
Distributed Time Delays ◽  
Stochastic Complex Networks

scholarly journals Synchronization Analysis for Stochastic T-S Fuzzy Complex Networks with Markovian Jumping Parameters and Mixed Time-Varying Delays via Impulsive Control

2020 ◽  
Vol 2020 ◽  
pp. 1-27 ◽  
Author(s):  
M. Syed Ali ◽  
M. Usha ◽  
Quanxin Zhu ◽  
Saravanan Shanmugam
Keyword(s):  
Complex Networks ◽  
Impulsive Control ◽  
Fuzzy Model ◽  
Linear Matrix ◽  
Time Varying ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
Stochastic Complex Networks ◽  
Delay Dependent ◽  
Takagi Sugeno

In this paper, we propose and explore the synchronization examination for fuzzy stochastic complex networks’ Markovian jumping parameters portrayed by Takagi-Sugeno (T-S) fuzzy model with mixed time-varying coupling delays via impulsive control. The hybrid coupling includes time-varying discrete and distributed delays. Based on appropriate Lyapunov–Krasovskii functional (LKF) approach, Newton–Leibniz formula, and Jensen’s inequality, the stochastic examination systems and Kronecker product to create delay-dependent synchronization criteria that guarantee stochastically synchronous of the proposed T-S fuzzy stochastic complex networks with mixed time-varying delays. Adequate conditions for the synchronization criteria for the frameworks are established in terms of linear matrix inequalities (LMIs). At long last, numerical examples and simulations are given to demonstrate the correctness of the hypothetical outcomes.

ON SYNCHRONIZATION OF DISCRETE-TIME MARKOVIAN JUMPING STOCHASTIC COMPLEX NETWORKS WITH MODE-DEPENDENT MIXED TIME-DELAYS

2009 ◽  
Vol 23 (03) ◽  
pp. 411-434 ◽  
Author(s):  
YURONG LIU ◽  
ZIDONG WANG ◽  
XIAOHUI LIU
Keyword(s):  
Complex Networks ◽  
Complex Network ◽  
Discrete Time ◽  
Time Delays ◽  
Dynamical Behavior ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Stochastic Disturbances ◽  
Coupling Term ◽  
Markovian Jumping

In this paper, the synchronization problem is investigated for a new class of discrete-time complex networks. Such complex networks involve the Markovian jumping parameters, mode-dependent discrete and distributed time-delays, constant and delayed couplings, as well as multiple stochastic disturbances. The stochastic disturbances influence the constant coupling term, the delayed coupling term, as well as the overall network dynamics, which could better describe the dynamical behavior of a coupled complex network presented within a noisy environment. With help from the Lyapunov functional method and the properties of Kronecker product, we employ the stochastic analysis techniques to derive several delay-dependent sufficient conditions under which the coupled complex network is asymptotically synchronized in the mean square. The criteria obtained in this paper are in the form of LMIs whose solution can be easily calculated using the standard numerical software. It is shown that our main results can cover many existing ones reported in the literature. A numerical example is presented to illustrate the usefulness of our results.

Synchronization for discrete-time complex networks with probabilistic time delays

2019 ◽  
Vol 525 ◽  
pp. 1088-1101 ◽  
Author(s):  
Ranran Cheng ◽  
Mingshu Peng ◽  
Jinchen Yu ◽  
Haifen Li
Keyword(s):  
Complex Networks ◽  
Discrete Time ◽  
Time Delays
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