New results on global stability analysis of discontinuous Cohen–Grossberg neural networks of neutral-type in Hale's form
Fanchao Kong, Quanxin Zhu · International Journal of Control · 2020
In this paper, we aim to investigate the globally asymptotic stability of the equilibrium point for the discontinuous Cohen–Grossberg neural networks of neutral-type in Hale's form. The functional differential inclusions theory, inequality technique and the non-smooth Lyapunov–Krasovskii functional are invoked and some new delay independent sufficient conditions are derived. The considered neural system extends some previous related ones to the discontinuous case. In addition, the imposed essential condition ∑j=1ncij+<1 or ci+<1 (i=1,2,…n) in the previous researches on neutral-type neural networks in Hale's form will not be needed in this paper. Consequently, compared with the previous stability results on the neutral-type Cohen–Grossberg neural networks, the results established are more generalised and take more advantages. Finally, the effectiveness of the established results are validated via two numerical examples and simulations.