Passivity Analysis of Coupled Reaction-Diffusion Neural Networks With Dirichlet Boundary Conditions

abstract

• 2013 IEEE. Two coupled reaction-diffusion neural networks (CRDNNs) with different dimensions of input and output are considered in this paper. The only difference between them is whether time-varying delay is incorporated in the mathematical model of network. We respectively analyze dissipativity and passivity of these CRDNNs. First, for the systems with different dimensions of input and output vectors, two new passivity definitions are proposed. Then, by exploiting some inequality techniques, several dissipativity and passivity criteria for these CRDNNs are established. Furthermore, we analyze stability of passive CRDNNs. Finally, two examples with simulation results are presented to verify the effectiveness of the proposed criteria.

authors

• Huang, Tingwen

published proceedings

• IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS

author list (cited authors)

• Wang, J., Wu, H., Huang, T., Ren, S., & Wu, J.

citation count

• 74

complete list of authors

• Wang, Jin-Liang||Wu, Huai-Ning||Huang, Tingwen||Ren, Shun-Yan||Wu, Jigang

publication date

• August 2017

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Systems, Man, and Cybernetics: Systems  Journal

keywords

• Dissipativity
• Neural Networks
• Passivity
• Reaction-diffusion Terms
• STABILITY

Digital Object Identifier (DOI)

• 10.1109/TSMC.2016.2622363

start page

• 2148

end page

• 2159

volume

• 47

issue

• 8

URL

• http://dx.doi.org/10.1109/tsmc.2016.2622363