Singularly Perturbed Systems with Diffusion and Time Delay

2014 ◽  
Vol 989-994 ◽  
pp. 1969-1972
Author(s):  
Chang You Wang ◽  
Qi Dou ◽  
Xiang Wei Li
Keyword(s):  
Time Delay ◽  
Asymptotic Solution ◽  
Food Chain ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Chain Reaction ◽  
Reaction Systems ◽  
Perturbed Systems ◽  
Formal Asymptotic Solution

The singularly perturbed systems for the nonlinear three-species food-chain reaction systems with time delay are considered. By using the method of the stretched variable, the formal asymptotic solution is obtained under suitable conditions.

scholarly journals Stability bound analysis of singularly perturbed systems with time-delay

2013 ◽  
Vol 19 (4) ◽  
pp. 505-511 ◽  
Author(s):  
Fengqi Sun ◽  
Chunyu Yang ◽  
Qingling Zhang ◽  
Yongxiang Shen
Keyword(s):  
Time Delay ◽  
Singularly Perturbed ◽  
Stability Criteria ◽  
Singularly Perturbed Systems ◽  
Numerical Examples ◽  
Stability Bound ◽  
Perturbed Systems ◽  
The Stability ◽  
Bound Analysis

This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals. The proposed criteria are less conservative than the existing ones. Two numerical examples are given to illustrate the advantages and effectiveness of the proposed methods.

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