Stabilizing control of integro-differential CNN model arising in nanostructures
Angela Slavova, Elena Litsyn · AIP conference proceedings · 2021
In this paper we shall study a system of integro-differential equations which arises in nanostructures. We shall approximate it with the Cellular Nanoscale Networks (CNN) architecture. Then we shall study the dynamics of the obtained integro- differential CNN model via the local activity method. We shall determine the region called edge of chaos in which complex behavior can occur. We shall design hybrid control regulator for the CNN model under consideration in order to stabilize the chaotic motion to admissible solutions which is connected in some way to the original behavior of the system. Numerical simulations will be presented which will illustrate the obtained theoretical results.