Impulsive control strategy for a chemostat model with nutrient recycling and distributed time-delay

2013 ◽  
Vol 37 (4) ◽  
pp. 496-507 ◽  
Author(s):  
Baodan Tian ◽  
Shouming Zhong ◽  
Ning Chen ◽  
Xianqing Liu
Keyword(s):  
Time Delay ◽  
Control Strategy ◽  
Impulsive Control ◽  
Nutrient Recycling ◽  
Chemostat Model ◽  
Distributed Time Delay ◽  
Impulsive Control Strategy

SYNCHRONIZATION OF IMPULSIVELY COUPLED SYSTEMS

2008 ◽  
Vol 18 (05) ◽  
pp. 1539-1549 ◽  
Author(s):  
XIUPING HAN ◽  
JUN-AN LU ◽  
XIAOQUN WU
Keyword(s):  
Dynamical Systems ◽  
Control Strategy ◽  
Impulsive Control ◽  
Coupled Model ◽  
Coupled Systems ◽  
Single System ◽  
Impulsive Synchronization ◽  
The Past ◽  
Impulsive Control Strategy ◽  
Control And Synchronization

In the past years, impulsive control for a single system and impulsive synchronization between two systems have been extensively studied. However, investigation on impulsive control and synchronization of complex networks has just started. In these studies, a network is continuously coupled, and then is synchronized by using impulsive control strategy. In this paper, a new and different coupled model is proposed, where the systems are coupled only at discrete instants through impulsive connections. Several criteria for synchronizing such kind of impulsively coupled complex dynamical systems are established. Two examples are also worked through for illustrating the main results.

scholarly journals Complex Behavior in a Fish Algae Consumption Model with Impulsive Control Strategy

2011 ◽  
Vol 2011 ◽  
pp. 1-17 ◽  
Author(s):  
Jin Yang ◽  
Min Zhao
Keyword(s):  
Control Strategy ◽  
Small Amplitude ◽  
Impulsive Control ◽  
Asymptotically Stable ◽  
Perturbation Techniques ◽  
Globally Asymptotically Stable ◽  
Impulsive Equations ◽  
Consumption Model ◽  
The Rich ◽  
Impulsive Control Strategy

This paper investigates a dynamic mathematical model of fish algae consumption with an impulsive control strategy analytically. It is proved that the system has a globally asymptotically stable algae-eradication periodic solution and is permanent by using the theory of impulsive equations and small-amplitude perturbation techniques. Numerical results for impulsive perturbations demonstrate the rich dynamic behavior of the system. Further, we have also compared biological control with chemical control. All these results may be useful in controlling eutrophication.

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