Stability analysis of retarded differential inclusions
type: Item
instance of: scholarly article
title: Stability analysis of retarded differential inclusions
zbMATH Open document ID: 1406.34053
DOI: 10.1155/2014/832187
author: Jiafu Wang
author: Gui Zhang
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: Retarded differential inclusions have drawn more and more attention, due to the development of feedback control systems with delays and dynamical systems determined by retarded differential equations with a discontinuous right-hand side. The purpose of this paper is to establish a result on the stability and asymptotical stability for retarded differential inclusions. Comparing with the previous results, the main result obtained in this paper allows Lyapunov functions to be nonsmooth. Moreover, to deal with the asymptotical stability, it is not required that Lyapunov functions should have an infinitesimal upper limit, but this condition is needed in most of the previous results. To demonstrate applicability, we use the main result in the analysis of asymptotical stability of a class of neural networks with discontinuous activations and delays.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 7010769
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/832187
OpenAlex ID: W2013622745
Wikidata QID: Q59052672
description: scientific article; zbMATH DE number 7010769