Title :
Impulsive exponential stabilization of discrete population growth models with time delays
Author :
Zhang, Yu ; Sun, Jitao
Author_Institution :
Dept. of Math., Tongji Univ., Shanghai, China
Abstract :
The purpose of this paper is to investigate the impulsive exponential stabilization for the positive equilibrium points of a class of discrete population growth models with time delays. By using Lyapunov functionals, some new exponential stability criteria are given. It is shown that impulses can indeed make unstable equilibrium points exponentially stable, and when the impulses are employed to stabilize the unstable equilibrium points, the time interval between the nearest two impulses should be small enough, i.e., impulses should act frequently. Two examples are also presented to illustrate the effectiveness of the obtained results. It should be noted that, it´s the first time that impulsive exponential stabilization results for discrete population models with time delays have been given.
Keywords :
Lyapunov methods; asymptotic stability; delays; discrete systems; Lyapunov functional; discrete population growth model; discrete population model; exponential stability criteria; time delay; time interval; Biological system modeling; Computational modeling; Delay; Delay effects; Mathematical model; Stability criteria; delay; discrete; exponential stability; impulse; population model;
Conference_Titel :
Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-7814-9
DOI :
10.1109/ICARCV.2010.5707318