Impulsive effects on stability of high-order BAM neural networks with time delays

Authors:
Chaojie Li;Chuandong Li;Xiaofeng Liao;Tingwen Huang
Affiliations:
College of Computer Science, Chongqing University, Chongqing 400044, China;College of Computer Science, Chongqing University, Chongqing 400044, China;College of Computer Science, Chongqing University, Chongqing 400044, China;Texas A&M University at Qatar, PO Box 23874, Doha, Qatar
Venue:
Neurocomputing
Year:
2011

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Abstract

The problem of Impulsive effects on stability analysis of high-order BAM neural networks with time delays is investigated in this paper. By using the Lyapunov technique and Razumikhin method, we characterize theoretically the aggregated effects of impulse and stability properties of impulse-free version and then analyze the stabilizing mechanism and destabilizing mechanism of impulses, respectively. The present approaches allow us to estimate the feasible upper bounds of impulse strengths and can also extend to the more general impulsive nonlinear systems with delays. To demonstrate the effectiveness of theoretical results, several numerical examples are given.