Stability properties of the Hopfield-type neural networks

Abstract

In this paper, stability properties such as eventual practical stability and uniform practical stability of Hopfield-type neural networks are discussed employing vector Lyapunov functions (Hopfield and Tank, 1986; Lakshmikantham, Leela and Martynyuk, 1990; Lakshmikantham, Matrosov and Sivasundaram. 1991). Also, invariance principle together with vector Lyapunov functions is used to study the global asymptotic stability of the same network