Pinning sampled-data synchronization of complex dynamical networks with Markovian jumping and mixed delays using multiple integral approach

Complexity ◽  
2016 ◽  
Vol 21 (S1) ◽  
pp. 622-632 ◽  
Author(s):  
K. Sivaranjani ◽  
R. Rakkiyappan
Keyword(s):  
Multiple Integral ◽  
Complex Dynamical Networks ◽  
Data Synchronization ◽  
Integral Approach ◽  
Mixed Delays ◽  
Sampled Data ◽  
Markovian Jumping ◽  
Dynamical Networks

scholarly journals Sampled-Data Synchronization for Complex Dynamical Networks with Time-Varying Coupling Delay and Random Coupling Strengths

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Jian-An Wang ◽  
Xin-Yu Wen
Keyword(s):  
Sampling Period ◽  
Complex Dynamical Networks ◽  
Data Synchronization ◽  
Linear Matrix ◽  
Time Varying ◽  
Sampled Data ◽  
Dynamical Networks ◽  
Coupling Delay ◽  
Coupling Strengths ◽  
Random Coupling

This paper is concerned with the problem of sampled-data synchronization for complex dynamical networks (CDNs) with time-varying coupling delay and random coupling strengths. The random coupling strengths are described by normal distribution. The sampling period considered here is assumed to be less than a given bound. By taking the characteristic of sampled-data system into account, a discontinuous Lyapunov functional is constructed, and a delay-dependent mean square synchronization criterion is derived. Based on the proposed condition, a set of desired sampled-data controllers are designed in terms of linear matrix inequalities (LMIs) that can be solved effectively by using MATLAB LMI Toolbox. Numerical examples are given to demonstrate the effectiveness of the proposed scheme.

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