Title
Impulsive control of unstable neural networks with unbounded time-varying delays.
Abstract
This paper considers the impulsive control of unstable neural networks with unbounded time-varying delays, where the time delays to be addressed include the unbounded discrete time-varying delay and unbounded distributed time-varying delay. By employing impulsive control theory and some analysis techniques, several sufficient conditions ensuring μ-stability, including uniform stability, (global) asymptotical stability, and (global) exponential stability, are derived. It is shown that an unstable delay neural network, especially for the case of unbounded time-varying delays, can be stabilized and has μ-stability via proper impulsive control strategies. Three numerical examples and their simulations are presented to demonstrate the effectiveness of the control strategy.
Year
DOI
Venue
2018
10.1007/s11432-017-9097-1
SCIENCE CHINA Information Sciences
Keywords
DocType
Volume
unstable neural networks, impulsive control, unbounded discrete time-varying delay, unbounded distributed time-varying delay, μ-stability
Journal
61
Issue
ISSN
Citations 
1
1674-733X
6
PageRank 
References 
Authors
0.40
24
3
Name
Order
Citations
PageRank
Xiaodi Li141020.60
Shiji Song2124794.76
Jianhong Wu345877.19