Exponential stability of Hopfield neural networks with impulses

Abstract For a Hopfield neural network with periodic coefficients, a new criterion is proposed to obtain the existence of a periodic solution and its exponential stability. Our assumptions are in the form of inequalities involving integral averages and the assigned jumps.

[1]  Zhanji Gui,et al.  Periodic solutions of nonautonomous cellular neural networks with impulses and delays , 2009 .

[2]  Weigao Ge,et al.  Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses , 2006 .

[3]  Ivanka M. Stamova,et al.  Global exponential stability for impulsive cellular neural networks with time-varying delays , 2008 .

[4]  Xiaoshu Luo,et al.  Exponential stability of impulsive neural networks with time-varying delays , 2008 .

[5]  Yongkun Li,et al.  Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses , 2004 .

[6]  Jinde Cao,et al.  On stability of delayed cellular neural networks , 1999 .

[7]  Weigao Ge,et al.  Periodic solutions of nonautonomous cellular neural networks with impulses , 2007 .

[8]  K. Gopalsamy,et al.  Stability of artificial neural networks with impulses , 2004, Appl. Math. Comput..

[9]  Rajcho Ilarionov,et al.  On global exponential stability for impulsive cellular neural networks with time-varying delays , 2010, Comput. Math. Appl..

[10]  Jinde Cao,et al.  Stability and periodicity in delayed cellular neural networks with impulsive effects , 2007 .

[11]  Stability and Periodicity in Competitive Systems with Impulses , 2009 .

[12]  Jitao Sun,et al.  Periodic solution for nonautonomous cellular neural networks with impulses , 2009 .

[13]  D. Bainov,et al.  Impulsive Differential Equations: Periodic Solutions and Applications , 1993 .