Title :
Global exponential stability of a general class of recurrent neural networks with time-varying delays
Author :
Zeng, Zhigang ; Wang, Jun ; Liao, Xiaoxin
Author_Institution :
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
This brief presents new theoretical results on the global exponential stability of neural networks with time-varying delays and Lipschitz continuous activation functions. These results include several sufficient conditions for the global exponential stability of general neural networks with time-varying delays and without monotone, bounded, or continuously differentiable activation function. In addition to providing new criteria for neural networks with time-varying delays, these stability conditions also improve upon the existing ones with constant time delays and without time delays. Furthermore, it is convenient to estimate the exponential convergence rates of the neural networks by using the results.
Keywords :
asymptotic stability; convergence; delays; recurrent neural nets; stability criteria; Lipschitz continuous activation functions; exponential convergence rates; global exponential stability; recurrent neural networks; stability conditions; sufficient conditions; time-varying delays; Automatic control; Conductors; Convergence; Delay effects; Equations; Inductance; Microwave theory and techniques; Neural networks; Recurrent neural networks; Stability;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.817760