Title :
Global asymptotic stability and global exponential stability of delayed cellular neural networks
Author :
Liao, Xiaoxin X. ; Wang, Jun ; Zeng, Zhigang
Author_Institution :
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
fDate :
7/1/2005 12:00:00 AM
Abstract :
In this brief, many novel theorems and corollaries are presented regarding the global asymptotic stability and global exponential stability of cellular neural networks with constant and variable time delays. The stability conditions in the new results improve and generalize existing ones. Several examples are discussed to compare the new results with the existing ones.
Keywords :
asymptotic stability; cellular neural nets; delays; time-varying systems; cellular neural networks; constant time delays; global asymptotic stability; global exponential stability; variable time delays; Asymptotic stability; Automation; Cellular neural networks; Cloning; Delay effects; Eigenvalues and eigenfunctions; Image processing; Neural networks; Neurons; Signal processing; Cellular neural networks (CNNs); cloning template; global asymptotic stability; global exponential stability;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.850413