Anping Chen, Jinde Cao, & Lihong Huang
Abstract:
For a class of neural system with time-varying
perturbations in the time-delayed state, this article studies
the periodic solution and global robust exponential stability.
New criteria concerning the existence of the periodic solution
and global robust exponential stability are obtained by employing
Young's inequality, Lyapunov functional, and some analysis
techniques. At the same time, the global exponential stability
of the equilibrium point of the system is obtained.
Previous results are improved and generalized. Our results are
shown to be more effective than the existing results. In addition,
these results can be used for designing globally stable and periodic
oscillatory neural networks. Our results are easy to be checked and
applied in practice.
Submitted December 24, 2003. Published February 26, 2004.
Math Subject Classifications: 34K13, 34K20, 92B20.
Key Words: Periodic solutions, global exponential stability,
Poincare mapping, shunting inhibitory delay cellular
neural networks, Lyapunov functionals.
Show me the PDF file (243K), TEX file, and other files for this article.
 |
Anping Chen Department of Mathematics Xiangnan University Chenzhou, Hunan 423000, China email: chenap@263.net |
|---|---|
 |
Jinde Cao Department of Mathematics Southeast University Nanjing 210096, China email: jdcao@seu.edu.cn jdcao@cityu.edu.hk |
| Lihong Huang College of Mathematics and Econometrics Hunan University, Hunan 410082, China email: lhhuang@hnu.edu.cn |
Return to the EJDE web page