Impulsive synchronization of time delay bursting neuron systems with unidirectional coupling

Complexity ◽  
2014 ◽  
Vol 21 (2) ◽  
pp. 38-46 ◽  
Author(s):  
Zuolei Wang ◽  
Yaolin Jiang ◽  
Hongli Li
Keyword(s):  
Time Delay ◽  
Unidirectional Coupling ◽  
Impulsive Synchronization ◽  
Bursting Neuron

Research on Impulsive Lurie Systems with Time-Delay

2014 ◽  
Vol 889-890 ◽  
pp. 633-636
Author(s):  
Xue Jun Li
Keyword(s):  
Differential Equation ◽  
Time Delay ◽  
Differential System ◽  
Stability Theory ◽  
Impulsive Differential Equation ◽  
Comparison Theory ◽  
Impulsive Differential System ◽  
Numerical Example ◽  
Impulsive Synchronization

Based on stability theory of impulsive differential equation and new comparison theory of impulsive differential system, some simple yet less conservative criteria ensuring impulsive synchronization of the Lurie systems are derived. A numerical example is given to illustrate the effectiveness of the method.

scholarly journals Synchronization of Time Delay Coupled Neural Networks Based on Impulsive Control

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Jie Fang ◽  
Yin Zhang ◽  
Danying Xu ◽  
Junwei Sun
Keyword(s):  
Neural Networks ◽  
Time Delay ◽  
Control Method ◽  
Impulsive Control ◽  
Lyapunov Stability Theory ◽  
Control Effect ◽  
Coupled Neural Networks ◽  
Impulsive Synchronization ◽  
The Stability ◽  
Delayed Impulses

This paper investigates the impulsive synchronization of time delay coupled neural networks. Based on the Lyapunov stability theory and impulsive control method, a distributed delayed impulsive controller is designed to realize synchronization of the coupled neural networks. A new impulsive delayed inequality is proposed, where the control effect of distributed delayed impulses is fully considered. In addition, a suitable Lyapunov-like function is established to prove the stability of the synchronization system. Numerical simulation examples are introduced to illustrate the effectiveness and feasibility of the main results.

Sign in / Sign up

Export Citation Format

Share Document