Nonnegative periodic dynamics of cohen-grossberg neural networks with discontinuous activations and discrete time delays

Abstract

In this paper, we report the results concerned with the nonnegative periodic dynamics of the delayed Cohen-Grossberg neural networks with discontinuous activation functions and periodic interconnection coefficients, self-inhibitions, and external inputs. Filippov theory is utilized to study the viability, namely, the existence of the solution of the Cauchy problem. The conditions of diagonal dominant type are presented to guarantee the existence and the asymptotical stability of a periodic solution. Numerical examples are provided to illustrate the theoretical results. © 2009 Springer Berlin Heidelberg.