Title :
Global exponential stability of delayed Hopfield neural network on time scale
Author :
Xuehui Mei ; Haijun Jiang
Author_Institution :
Coll. of Math. & Syst. Sci., Xinjiang Univ., Urumqi, China
Abstract :
In This paper, by using the theory of calculus on time scales and constructing some suitable Liapunov functions, we obtained the existence, uniqueness and global exponential stability of equilibrium point of delayed Hopfield neural network with impulses on time scale. The conditions can be easily checked in practice by simple algebraic methods.
Keywords :
Hopfield neural nets; Lyapunov methods; algebra; asymptotic stability; Liapunov function; algebraic method; delayed Hopfield neural network; equilibrium point; global exponential stability; theory of calculus; time scale; Biological neural networks; Calculus; Control theory; Equations; Mathematical model; Stability;
Conference_Titel :
Neural Networks (IJCNN), 2014 International Joint Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-6627-1
DOI :
10.1109/IJCNN.2014.6889781
