Exponential stability of impulsive high-order Hopfield-type neural networks with delays and reaction-diffusion

abstract

• The problem of global exponential stability analysis of Impulsive high-order Hopfield-type neural networks with time-varying delays and reaction-diffusion terms has been investigated in this paper. Using the Lyapunov function method and M-matrix theory, we establish the global exponential stability of the neural networks with its estimated exponential convergence rate. As an illustration, a numerical example is given using the results. 2011 Taylor & Francis.

authors

• Huang, Tingwen

published proceedings

• INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

author list (cited authors)

• Li, C., Li, C., & Huang, T.

citation count

• 29

complete list of authors

• Li, Chaojie||Li, Chuandong||Huang, Tingwen

publication date

• October 2011

publisher

• Taylor & Francis  Publisher

published in

• International Journal of Computer Mathematics  Journal

keywords

• Delay
• Exponential Stability
• High-order Hopfield-type Neural Networks
• Impulse
• Reaction-diffusion

Digital Object Identifier (DOI)

• 10.1080/00207160.2011.594884

start page

• 3150

end page

• 3162

volume

• 88

issue

• 15

URL

• http%3A%2F%2Fdx.doi.org%2F10.1080%2F00207160.2011.594884