DocumentCode
942728
Title
Robust Global Exponential Stability for Interval Reaction–Diffusion Hopfield Neural Networks With Distributed Delays
Author
Lu, Jun Guo
Author_Institution
Shanghai Jiao Tong Univ., Shanghai
Volume
54
Issue
12
fYear
2007
Firstpage
1115
Lastpage
1119
Abstract
This brief presents a sufficient condition for the existence, uniqueness, and robust global exponential stability of the equilibrium solution for a class of interval reaction diffusion Hopfield neural networks with distributed delays and Dirichlet boundary conditions by constructing suitable Lyapunov functional and utilizing some inequality techniques. The result imposes constraint conditions on the boundary values of the network parameters. The result is also easy to verify and plays an important role in the design and application of globally exponentially stable neural circuits.
Keywords
Hopfield neural nets; Lyapunov methods; asymptotic stability; delays; reaction-diffusion systems; Dirichlet boundary conditions; Lyapunov function; distributed delays; interval reaction-diffusion Hopfield neural networks; robust global exponential stability; Dirichlet boundary condition; Hopfield neural network; distributed delay; reaction diffusion; robust global exponential stability;
fLanguage
English
Journal_Title
Circuits and Systems II: Express Briefs, IEEE Transactions on
Publisher
ieee
ISSN
1549-7747
Type
jour
DOI
10.1109/TCSII.2007.905357
Filename
4358632
Link To Document