scholarly journals Impulsive control strategy for the Mittag-Leffler synchronization of fractional-order neural networks with mixed bounded and unbounded delays

2021 ◽  
Vol 6 (3) ◽  
pp. 2287-2303
Author(s):  
Ivanka Stamova ◽  
◽  
Gani Stamov ◽  



2011 ◽  
Vol 348 (4) ◽  
pp. 652-670 ◽  
Author(s):  
Hengguo Yu ◽  
Shouming Zhong ◽  
Ravi P. Agarwal ◽  
Syamal K. Sen


2008 ◽  
Vol 18 (05) ◽  
pp. 1539-1549 ◽  
Author(s):  
XIUPING HAN ◽  
JUN-AN LU ◽  
XIAOQUN WU

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.



2011 ◽  
Vol 2011 ◽  
pp. 1-17 ◽  
Author(s):  
Jin Yang ◽  
Min Zhao

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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