Title :
Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays
Author :
Zeng, Zhigang ; Wang, Jun ; Liao, Xiaoxin
Author_Institution :
Sch. of Autom., Wuhan Univ. of Technol., China
fDate :
3/1/2005 12:00:00 AM
Abstract :
This brief studies the global asymptotic stability and the global exponential stability of neural networks with unbounded time-varying delays and with bounded and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and global asymptotic stability of such neural networks are derived. The new results given in the brief extend the existing relevant stability results in the literature to cover more general neural networks.
Keywords :
asymptotic stability; delays; neural nets; numerical stability; activation functions; global asymptotic stability; global exponential stability; neural networks; unbounded time-varying delays; Asymptotic stability; Automation; Biological neural networks; Cellular neural networks; Delay effects; History; Neural networks; Neurons; Robust stability; Stability analysis; Global asymptotic stability; global exponential stability; neural networks; unbounded time-varying delay(UDNN);
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.842047