Title :
Robust Global Exponential Stability for Interval Reaction–Diffusion Hopfield Neural Networks With Distributed Delays
Author_Institution :
Shanghai Jiao Tong Univ., Shanghai
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.905357