scholarly journals Robust Global Exponential Stability of Linear Impulsive Systems with Time-Varying Delay and Uncertainty

2006 ◽  
Vol 36 (2) ◽  
pp. 615-636 ◽  
Author(s):  
Bin Liu ◽  
Xinzhi Liu
Keyword(s):  
Exponential Stability ◽  
Global Exponential Stability ◽  
Time Varying ◽  
Impulsive Systems ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Global Exponential Stability of Positive Almost Periodic Solutions for a Fishing Model with a Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Hong Zhang ◽  
Shuhua Gong ◽  
Jianying Shao
Keyword(s):  
Numerical Simulation ◽  
Exponential Stability ◽  
Periodic Solutions ◽  
Global Exponential Stability ◽  
Time Varying ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Positive Almost Periodic Solutions

This paper is concerned with a nonautonomous fishing model with a time-varying delay. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive almost periodic solutions of the model with almost periodic coefficients and delays. Moreover, an example and its numerical simulation are given to illustrate the main results.

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