Global Exponential Synchronization of Chaotic Neural Networks with Time Delays

2007 ◽  
pp. 143-150
Author(s):  
Jigui Jian ◽  
Baoxian Wang ◽  
Xiaoxin Liao
Keyword(s):  
Neural Networks ◽  
Time Delays ◽  
Exponential Synchronization ◽  
Chaotic Neural Networks ◽  
Global Exponential Synchronization

scholarly journals Exponential Synchronization in Inertial Neural Networks with Time Delays

Electronics ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 356 ◽  
Author(s):  
Liang Ke ◽  
Wanli Li
Keyword(s):  
Differential Equation ◽  
Neural Networks ◽  
Lyapunov Functional ◽  
Time Delays ◽  
Order Differential Equation ◽  
Sufficient Conditions ◽  
Exponential Synchronization ◽  
Inertial Neural Networks ◽  
Response Systems ◽  
Global Exponential Synchronization

In this paper, exponential synchronization for inertial neural networks with time delays is investigated. First, by introducing a directive Lyapunov functional, a sufficient condition is derived to ascertain the global exponential synchronization of the drive and response systems based on feedback control. Second, by introducing a variable substitution, the second-order differential equation is transformed into a first-order differential equation. As such, a new Lyapunov functional is constructed to formulate a novel global exponential synchronization for the systems under study. The two obtained sufficient conditions complement each other and are suitable to be applied in different cases. Finally, two numerical examples are given to illustrated the effectiveness of the proposed theoretical results.

Sign in / Sign up

Export Citation Format

Share Document