Passivity analysis of spatially and temporally BAM neural networks with the Neumann boundary conditions

Boundary value problems

Weiyuan Zhang¹ 

[1] Institute of Nonlinear Science, Xianyang Normal University, Shaanxi, P.R. China

关键词: BAM NNs;    reaction-diffusion;    delays;    passivity;    Lyapunov functional;   

DOI  :  10.1186/s13661-015-0435-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the paper, a delay-differential equation modeling a bidirectional associative memory neural networks (BAM NNs) with reaction-diffusion terms is investigated, for which the input and output variables are varied with the time and space variables. By taking advantage of the inequality techniques, some Lyapunov-Krasovskii functional candidates are introduced to arrive at the novel sufficient conditions that warrant the passivity of spatially and temporally BAM NNs with mixed time delays. Moreover, when the parameter uncertainties appear in spatially and temporally BAM NNs, the criterion for robust passivity is also given. Novel passivity criteria are proposed in terms of inequalities, which can be checked easily. A numerical example is provided to demonstrate the effectiveness of the proposed results.

【 授权许可】

CC BY