Title :
Global exponential stability of a class of neural circuits
Author :
Liang, Xue-Bin ; Wu, Li-De
Author_Institution :
Dept. of Comput. Sci., Fudan Univ., Shanghai, China
fDate :
6/1/1999 12:00:00 AM
Abstract :
This paper obtains the global exponential stability (GES) of the class of Hopfield-Tank neural circuits, which can represent a generalization of the existing stability results in the sense that only the global asymptotic stability (GAS) of the neural circuits was obtained under existing sufficient conditions in the literature. An example of a neural circuit which is globally asymptotically stable (GAS) rather than globally exponentially stable (GES) is also given
Keywords :
Hopfield neural nets; asymptotic stability; neural chips; Hopfield-Tank neural circuits; existing sufficient conditions; global asymptotic stability; global exponential stability; Asymptotic stability; Circuit stability; Digital filters; Finite impulse response filter; Frequency response; Low pass filters; Passband; Polynomials; Signal processing; Speech processing;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on