Advances in Dynamical Systems and Applications
Open Access
  • Year: 2006
  • Volume: 1
  • Issue: 1

Stability of neural networks with time varying delays in the presence of impulses

  • Author:
  • Haydar Akc¸a1, Rajai Alassar2, Valéery Covachev3,†
  • Total Page Count: 15
  • Page Number: 1 to 15

1Permanent address: United Arab Emirates University, Faculty of Sciences, Mathematical Sciences Department, P. O. Box 17551, Al Ain, UAE. E-mail: hakca@uaeu.ac.ae

2King Fahd University of Petroleum and Minerals, Department of Mathematical Science, Dhahran 31261, Saudi Arabia. E-mail: alassar@kfupm.edu.sa

3Department of Mathematics & Statistics, Sultan Qaboos University, Muscat 123, Sultanate of Oman. E-mail: vcovachev@hotmail.com, valery@squ.edu.om

†Permanent address: Institute of Mathematics, Bulgarian Academy of Sciences, Sofia 1113, Bulgaria.

AMS subject classification: 92B20.

Abstract

We develop a new approach to the stability analysis of Hopfieldtype neural networks with time varying delays in the presence of impulses. With the new approach, we improve and generalize some previous works of other researchers. We study stability of equilibrium points of impulsive systems which are either a generalization of those existing or new.

Keywords

Hopfield-type neural networks, delays, impulses