A variant of the Hopfield network, called the modified Hopfield network is formulated. This network which consists of two mutually recurrent networks has more free parameters than the well-known Hopfield network. Stability analysis of this network is presented. The analysis is carried out in the time domain with an application of the Lyapunov method and robust control Lyapunov function. The current flow in the network is treated as a "control". This "controller" is shown to guarantee "a practically stabilizing control". Analysis of the Hopfield network is also included for completion.

Meeting Name

37th IEEE Conference on Decision and Control, 1998


Mechanical and Aerospace Engineering

Keywords and Phrases

Hopfield Neural Nets; Lyapunov Method; Lyapunov Methods; Modified Hopfield Neural Networks; Mutually Recurrent Networks; Neurocontrollers; Practically Stabilizing Control; Robust Control; Robust Control Lyapunov Function; Robustness Analysis; Time Domain; Time-Domain Analysis

Document Type

Article - Conference proceedings

Document Version

Final Version

File Type





© 1998 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jan 1998