Title of article
Anti-periodic solutions for Cohen–Grossberg neural networks with bounded and unbounded delays
Author/Authors
Li، نويسنده , , Yongkun and Yang، نويسنده , , Li، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
7
From page
3134
To page
3140
Abstract
In this paper, a class of Cohen–Grossberg neural networks (CGNNs) with bounded and unbounded delays are considered. We establish some sufficient conditions on the existence and exponential stability of anti-periodic solutions for the following Cohen–Grossberg neural networks x i ′ ( t ) = - a i ( x i ( t ) ) b i ( x i ( t ) ) - ∑ j = 1 n c ij ( t ) f j ( x j ( t ) ) - ∑ j = 1 n d ij ( t ) g j ( x j ( t - τ ij ( t ) ) ) - ∑ j = 1 n e ij ( t ) ∫ 0 ∞ k ij ( θ ) h j ( x j ( t - θ ) ) d θ - I i ( t ) , i = 1 , 2 , … , n . Moreover, we also present an example to illustrate the feasibility and effectiveness of our results.
Keywords
Cohen–Grossberg neural networks (CGNNs) , Anti-periodic solutions , Exponential stability , Bounded and unbounded delays
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2009
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1534536
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