Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838328 | Nonlinear Analysis: Real World Applications | 2010 | 10 Pages |
Abstract
In this paper we introduce an impulsive Hopfield-type neural network system with piecewise constant argument of generalized type. Sufficient conditions for the existence of the unique equilibrium are obtained. Existence and uniqueness of solutions of such systems are established. Stability criterion based on linear approximation is proposed. Some sufficient conditions for the existence and stability of periodic solutions are derived. An example with numerical simulations is given to illustrate our results.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
M.U. Akhmet, E. Yılmaz,