A New Filter Design Method for Disturbed Multilayer Hopfield Neural Networks

• Main Author: AHN, C. K.
• Format: Article
• Language: English
• Published: Stefan cel Mare University of Suceava 2011-05-01
• Series: Advances in Electrical and Computer Engineering
• Subjects: passive filtering; multilayer Hopfield neural networks; linear matrix inequality (LMI); external disturbance
• Online Access: http://dx.doi.org/10.4316/AECE.2011.02015

This paper investigates the passivity based filtering problem for multilayer Hopfield neural networks with external disturbance. A new passivity based filter design method for multilayer Hopfield neural networks is developed to ensure that the filtering error system is exponentially stable and passive from the external disturbance vector to the output error vector. The unknown gain matrix is obtained by solving a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed filter.