LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory.
- Resource Type
- Article
- Authors
- Wang, Xiongrui; Rao, Ruofeng; Zhong, Shouming
- Source
- Mathematical Problems in Engineering. 11/19/2015, p1-10. 10p.
- Subject
- *MATHEMATICAL inequalities
*STABILITY theory
*FIXED point theory
*MATHEMATICAL mappings
*MATHEMATICAL proofs
*MATHEMATICS theorems
- Language
- ISSN
- 1024-123X
Linear matrices inequalities (LMIs) method and the contraction mapping theorem were employed to prove the existence of globally exponentially stable trivial solution for impulsive Cohen-Grossberg neural networks (CGNNs). It is worth mentioning that it is the first time to use the contraction mapping theorem to prove the stability for CGNNs while only the Leray-Schauder fixed point theorem was applied in previous related literature. An example is given to illustrate the effectiveness of the proposed methods due to the large allowable variation range of impulse. [ABSTRACT FROM AUTHOR]