Title :
Extended Dissipative Analysis for Neural Networks With Time-Varying Delays
Author :
Lee, Tong H. ; Myeong-Jin Park ; Park, Jae Hyo ; Oh-Min Kwon ; Sang-Moon Lee
Author_Institution :
Dept. of Electr. Eng., Yeungnam Univ., Kyongsan, South Korea
Abstract :
In this brief, an extended dissipativity analysis was conducted for a neural network with time-varying delays. The concept of the extended dissipativity can be used to solve for the H∞, L2 - L∞, passive, and dissipative performance by adjusting the weighting matrices in a new performance index. In addition, the activation function dividing method is modified by introducing a tuning parameter. Examples are provided to show the effectiveness and less conservatism of the proposed method.
Keywords :
delays; matrix algebra; neural nets; time-varying systems; transfer functions; H∞ dissipative performance; H∞ passive performance; L∞ dissipative performance; L∞ passive performance; L2 dissipative performance; L2 passive performance; activation function dividing method; extended dissipative analysis; neural networks; time-varying delays; tuning parameter; weighting matrices; Biological neural networks; Delays; Linear matrix inequalities; Neurons; Stability criteria; Symmetric matrices; Dissipativity; neural networks; passivity; stability; stability.;
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
DOI :
10.1109/TNNLS.2013.2296514
