학술논문

Lyapunov Theory-Based Multilayered Neural Network
Document Type
Periodical
Source
IEEE Transactions on Circuits and Systems II: Express Briefs IEEE Trans. Circuits Syst. II Circuits and Systems II: Express Briefs, IEEE Transactions on. 56(4):305-309 Apr, 2009
Subject
Components, Circuits, Devices and Systems
Neural networks
Multi-layer neural network
Lyapunov method
Adaptive filters
MIMO
Stability
Finite impulse response filter
Backpropagation
Algorithm design and analysis
Taylor series
Face recognition
Lyapunov stability theory
multilayered neural network (MLNN)
neural networks (NNs)
Language
ISSN
1549-7747
1558-3791
Abstract
This brief presents a Lyapunov theory-based weight adaptation scheme for a multilayered neural network (MLNN) mainly used to classify a multiple-input–multiple-output (MIMO) problem. Initially, the MLNN system is linearized using Taylor series expansion. Then, the weight adaptation scheme is designed based on the Lyapunov stability theory to iteratively update the weight. In the design, the Lyapunov function has to be well selected to construct an energy space with a single global minimum. Hence, the Lyapunov theory-based MLNN acts as a MIMO classifier for face recognition. Analysis and discussion on Lyapunov properties of the proposed classifier are included. The performance of the proposed technique is tested on the Olivetti Research Laboratory database for face classification, and some comparisons with existing conventional techniques are given. Simulation results have revealed that our proposed system achieved better performance.