International Conference on Differential Equations
and Dynamical Systems DEDS'2021
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Research Communication | Open Access
Volume 2021 | Communication ID 93


On the stability of time-varying systems and application to Cohen-Grossberg neural networks
Abdelfettah Hamzaoui, Nizar Hadj Taieb, Mohamed Ali Hammami
Academic Editors: Youssef EL FOUTAYENI - Chaouki AOUITI
Received
Accepted
Published
May 15, 2021
May 25, 2021
July 15, 2021

Abstract: In this paper we investigate the practical partial exponential stability of time-varying nonlinear systems. We give a converse Lyapunov theorem and prove robustness of uniform practical partial exponential dissipativity with respect to unbounded external perturbations. Therefore, we generalized some works which are already made in the literature. Furthermore, we consider the Cohen-Grossberg neural networks with variable coefficients and multiple delays as application of our results.



International Conference on Differential Equations and Dynamic Systems DEDS @ 2021