scholarly journals Global exponential stability for a class of retarded functional differential equations with applications in neural networks

2004 ◽  
Vol 293 (1) ◽  
pp. 125-148 ◽  
Author(s):  
Xiaofeng Liao ◽  
Kwok-wo Wong
Keyword(s):  
Neural Networks ◽  
Differential Equations ◽  
Exponential Stability ◽  
Global Exponential Stability ◽  
Functional Differential Equations ◽  
Retarded Functional Differential Equations ◽  
Functional Differential

scholarly journals Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Shiguo Peng ◽  
Liping Yang
Keyword(s):  
Differential Equations ◽  
Exponential Stability ◽  
Delay Differential Equations ◽  
Global Exponential Stability ◽  
Functional Differential Equations ◽  
Razumikhin Technique ◽  
Impulsive Delay Differential Equations ◽  
Impulsive Delay ◽  
Functional Differential ◽  
Delay Differential

This paper develops some new Razumikhin-type theorems on global exponential stability of impulsive functional differential equations. Some applications are given to impulsive delay differential equations. Compared with some existing works, a distinctive feature of this paper is to address exponential stability problems for any finite delay. It is shown that the functional differential equations can be globally exponentially stabilized by impulses even if it may be unstable itself. Two examples verify the effectiveness of the proposed results.

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