Stabilizing control of integro-differential CNN model arising in nanostructures

Angela Slavova, Elena Litsyn

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publication7th International Conference on New Trends in the Applications of Differential Equations in Sciences, NTADES 2020
EditorsAngela Slavova
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440654
DOIs
StatePublished - 24 Feb 2021
Externally publishedYes
Event7th International Conference on New Trends in the Applications of Differential Equations in Sciences, NTADES 2020 - St. Constantin and Helena, Bulgaria
Duration: 1 Sep 20204 Sep 2020

Publication series

NameAIP Conference Proceedings
Volume2321
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference7th International Conference on New Trends in the Applications of Differential Equations in Sciences, NTADES 2020
Country/TerritoryBulgaria
CitySt. Constantin and Helena
Period1/09/204/09/20

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