Title
Periodically Intermittent Stabilization of Delayed Neural Networks Based on Piecewise Lyapunov Functions/Functionals
Abstract
This paper is concerned with the stabilization problem of delayed neural networks via a periodically intermittent controller. Two cases of time-varying bounded delays are considered: one is the time-varying delay without any constraints on the delay derivative, while the other is the time-varying delay with the delay derivative less than 1. For the first case, a piecewise time-invariant Lyapunov function-based method is applied, and the derived stability criterion improves an existing result. For the second case, a piecewise time-varying Lyapunov functional is introduced to establish a new stability criterion. Then, the obtained stability criteria are employed to design periodically intermittent controllers. Finally, two numerical examples are provided to illustrate the merits of the proposed approach.
Year
DOI
Venue
2014
10.1007/s00034-014-9827-0
Circuits, Systems, and Signal Processing
Keywords
Field
DocType
Delayed neural networks, Intermittent control, Piecewise Lyapunov functions/functionals, Linear matrix inequalities
Stability criterion,Lyapunov function,Mathematical optimization,Control theory,Lyapunov equation,Control theory,Artificial neural network,Intermittent control,Piecewise,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
33
12
1531-5878
Citations 
PageRank 
References 
15
0.68
25
Authors
4
Name
Order
Citations
PageRank
Wu-Hua Chen186958.24
jiacheng zhong2281.28
zhiyong jiang3281.28
Xiaomei Lu41248.38