id: 02159777
dt: j
an: 02159777
au: Xu, Daoyi; Yang, Zhichun
ti: Impulsive delay differential inequality and stability of neural networks.
so: J. Math. Anal. Appl. 305, No. 1, 107-120 (2005).
py: 2005
pu: Elsevier, San Diego, CA
la: EN
cc: 
ut: delay differential equations; impulse; impulsive differential inequality;
    neural networks; stability
ci: 
li: doi:10.1016/j.jmaa.2004.10.040
ab: The authors consider a general Hopfield neural network with delays and
    fixed times of impulse effect and prove the global exponential
    stability of the trivial solution. The authors use the properties of
    $M$-cone and eigenspace of spectral radius of nonnegative matrices to
    prove a delay differential inequality of Halanay type with impulsive
    initial condition. Then, they apply such result to obtain an estimate
    for the exponential stability of the model. An example is given.
rv: Marcia Federson (São Paulo)