About total stability of a class of nonlinear dynamic systems eventually subject to discrete internal delays
type: Item
instance of: scholarly article
title: About total stability of a class of nonlinear dynamic systems eventually subject to discrete internal delays
zbMATH Open document ID: 1467.93238
DOI: 10.1155/2021/5593813
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: Summary: This paper studies and investigates total stability results of a class of dynamic systems within a prescribed closed ball of the state space around the origin. The class of systems under study includes unstructured nonlinearities subject to multiple higher-order Lipschitz-type conditions which influence the dynamics and which can be eventually interpreted as unstructured perturbations. The results are also extended to the case of presence of multiple internal (i.e., in the state) point discrete delays. Some stability extensions are also discussed for the case when the systems are subject to forcing efforts by using links between the controllability and stabilizability concepts from control theory and the existence of stabilizing linear controls. The results are based on the ad hoc use of Gronwall's inequality.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C43
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 7349549
zbMATH Keywords: nonlinear differential system
zbMATH Keywords: total stability
zbMATH Keywords: controllability
zbMATH Keywords: stabilizability
author: M. De la Sen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5593813
OpenAlex ID: W3134565903
Wikidata QID: Q115243680
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description: scientific article; zbMATH DE number 7349549