Improved results on reachable set bounding for linear delayed systems with polytopic uncertainties
type: Item
instance of: scholarly article
title: Improved results on reachable set bounding for linear delayed systems with polytopic uncertainties
zbMATH Open document ID: 1418.93023
DOI: 10.1155/2015/895412
author: Hao Chen
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: This paper focuses on bound of reachable sets for delayed linear systems with polytopic uncertainties. Based on Lyapunov-Krasovskii functional theory, delay decomposition technique, and reciprocally convex method, some new results expressed in the form of linear matrix inequalities are derived. It should be noted that triple integral functionals are first to be introduced for reachable set analysis. Consequently, a tighter bound of the reachable set is obtained. Four numerical examples are given to illustrate the effectiveness and advantage of the proposed results comparing with the existing criteria.
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 7025538
Wikidata QID: Q59105539
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/895412
OpenAlex ID: W1513310365
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description: scientific article; zbMATH DE number 7025538