Graph-theoretic approach to synchronizing delayed coupled systems on networks via periodically intermittent control

2019 ◽  
Vol 38 (2) ◽  
Author(s):  
Beibei Guo ◽  
Jianxin Zhang ◽  
Yu Xiao
Keyword(s):  
Coupled Systems ◽  
Intermittent Control ◽  
Theoretic Approach ◽  
Periodically Intermittent Control ◽  
Graph Theoretic ◽  
Graph Theoretic Approach

scholarly journals Graph-Theoretic Approach to Exponential Stability of Delayed Coupled Systems on Networks under Periodically Intermittent Control

2018 ◽  
Vol 23 (1) ◽  
pp. 44-63
Author(s):  
Beibei Guo ◽  
Yu Xiao ◽  
Chiping Zhang
Keyword(s):  
Exponential Stability ◽  
Type Theorem ◽  
Sufficient Conditions ◽  
Coupled Systems ◽  
Intermittent Control ◽  
Theoretic Approach ◽  
Periodically Intermittent Control ◽  
Graph Theoretic ◽  
Graph Theoretic Approach ◽  
Close Relationship

In this paper, the exponential stability of delayed coupled systems on networks (DCSNs) is investigated via periodically intermittent control. By utilizing graph-theoretic approach and Lyapunov function method, a novel method for stability analysis of DCSNs is developed. Moreover, some useful and easily verifiable sufficient conditions are presented in the form of Lyapunov-type theorem and coefficients-type criterion. These laws reveal that the stability has a close relationship with the topol- ogy structure of the networks. In addition, as a subsequent result, the obtained theory is successfully applied to study the exponential stability of delayed coupled oscillators on networks under periodically intermittent control. Finally, a numerical example is given to validate the effectiveness of theoretical results.

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