Title :
Global
-Stability of Delayed Neural Networks With Unbounded Time-Varying Delays
Author :
Chen, Tianping ; Wang, Lili
Author_Institution :
Fudan Univ., Shanghai
Abstract :
In this letter, dynamical systems with unbounded time-varying delays are investigated. We address the following question: To what extent the time-varying delays can exist while the system is stable? Moreover, a new concept of stability, global mu-stability, is proposed. Under mild conditions, we prove that the dynamical systems with unbounded time-varying delays are globally mu-stable.
Keywords :
delays; neurocontrollers; stability; time-varying systems; delayed neural networks; dynamical systems; global mu-stability; unbounded time-varying delays; $mu$-stability; recurrently connected neural networks (NNs); unbounded time-varying delays;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2007.902716