Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D operator

Chuangxia Huang, Bingwen Liu, Chaofan Qian and Jinde Cao

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 190, issue C, 1150-1163

Abstract: This article is involved with a class of high-order proportional delayed cellular neural networks incorporating D operator. To start with, we validate the boundedness and the global existence of positive solutions. Moreover, by exploiting differential inequality techniques and with the aid of Lyapunov function method, some testable conditions are obtained to assure the positiveness and global exponential stability on pseudo almost periodic solutions of the proposed models. And lastly, a numerical example is afforded to verify the effectiveness and feasibility of the theoretical findings.

Keywords: High-order proportional delayed cellular neural networks; Positiveness; Stability; Positive pseudo almost periodic solution; D operator (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:190:y:2021:i:c:p:1150-1163

DOI: 10.1016/j.matcom.2021.06.027

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