1. Periodically Intermittent Stabilization of Delayed Neural Networks Based on Piecewise Lyapunov Functions/Functionals.
- Author
-
Chen, Wu-Hua, Zhong, Jiacheng, Jiang, Zhiyong, and Lu, Xiaomei
- Subjects
ARTIFICIAL neural networks ,COMPUTATIONAL complexity ,LINEAR matrix inequalities ,COMPUTER simulation ,LYAPUNOV functions - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF