Nonnegative periodic dynamics of delayed Cohen–Grossberg neural networks with discontinuous activations

In this paper, we study 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. Under some conditions, the existence and the asymptotical stability of a periodic solution are derived. Numerical examples are provided to illustrate the theoretical results.