Corrigendum on “On a general decay stability of stochastic Cohen-Grossberg neural networks with time-varying delays” [Applied Mathematics and Computation 219 (2012) 2289–2302]
Journal
Applied Mathematics and Computation
Date Issued
2013-01
Author(s)
Janković, Svetlana
DOI
10.1016/j.amc.2012.11.057
Abstract
In Lemma 2, as well as in Theorems 1 and 3 which proofs are based on Lemma 2, it is necessary to suppose for δ< 1 that functions a and b from C ([t 0,∞); R n) are increasing and decreasing, respectively, and that γ∗= γ (t 0). The proof of Lemma 2 in the paper holds only for δ⩾ 1 and must be similarly completed for δ< 1: since y (t)< kz (t) on [t 0, t 1) and y (t 1)= kz (t 1), k= const> 1, it follows straightforwardly that‖ y (t 1)‖< kz (t 1) δ γ∗ and D+(y (t 1)− kz (t 1))< 0, which completes the proof.