Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 29, pp. 1-16.

Title: Periodic solution and global exponential stability for
       shunting inhibitory delayed cellular neural networks
       
Authors: Anping Chen (Xiangnan Univ., Chenzhou, China)
         Jinde Cao (Southeast Univ., Nanjing, China)
	 Lihong Huang (Hunan Univ., Hunan, China)

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.