Uniform asymptotic stability of impulsive discrete systems with time delay

2011 ◽  
Vol 74 (15) ◽  
pp. 4941-4950 ◽  
Author(s):  
Xinzhi Liu ◽  
Zhigang Zhang
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Discrete Systems ◽  
Uniform Asymptotic Stability

Asymptotic Stability for an Impulsive Model of Hematopoiesis with Time Delay

2012 ◽  
Vol 204-208 ◽  
pp. 4506-4512
Author(s):  
Rui Chen ◽  
Pei Jun Ju
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Lyapunov Function ◽  
Function Method ◽  
Uniform Stability ◽  
Uniform Asymptotic Stability ◽  
Lyapunov Function Method ◽  
Impulsive Model

A model of hematopoiesis with time delay and impulses is studied. Based on the Lyapunov function method, uniform stability and uniform asymptotic stability of the equilibria is discussed.

scholarly journals Robust stability of linear perturbed discrete systems with multiple time-delay

2006 ◽  
Vol 60 (3-4) ◽  
pp. 82-86
Author(s):  
Sreten Stojanovic ◽  
Dragutin Debeljkovic ◽  
Ilija Mladenovic
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Robust Stability ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Numerical Results ◽  
Delay Systems ◽  
Multiple Delays ◽  
Multiple Time ◽  
Time Delay Systems

The paper presents some new sufficient conditions, independent of delay, for the asymptotic stability of a particular class of linear perturbed time-delay systems with multiple delays. The proposed criteria introduce a smaller number of assumptions and are expressed in more natural and simpler mathematical forms. Numerical results are presented to support and illustrate the derived results.

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