Reachable set estimation for discrete-time systems with interval time-varying delays and bounded disturbances
type: Item
instance of: scholarly article
title: Reachable set estimation for discrete-time systems with interval time-varying delays and bounded disturbances
zbMATH Open document ID: 1398.93044
DOI: 10.1155/2016/5214147
author: Jiemei Zhao
author: Yin Sheng
published in: Journal of Control Science and Engineering
publication date: 2018-10-08T00:00:00Z
review text: Summary: The reachable set estimation problem for discrete-time systems with delay-range-dependent and bounded disturbances is investigated. A triple-summation term, the upper bound, and the lower bound of time-varying delay are introduced into the Lyapunov function. In this case, an improved delay-range-dependent criterion is established for the addressed problem by constructing the appropriate Lyapunov functional, which guarantees that the reachable set of discrete-time systems with time-varying delay and bounded peak inputs is contained in the ellipsoid. It is worth mentioning that the initial value of the system does not need to be zero. Then, the reachable set estimation problem for time-delay systems with polytopic uncertainties is investigated. The effectiveness and the reduced conservatism of the derived results are demonstrated by an illustrative example.
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 6948728
zbMATH Keywords: discrete-time systems
zbMATH Keywords: time-varying delays
zbMATH Keywords: disturbances
zbMATH Keywords: reachable set estimation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5214147
OpenAlex ID: W2553821447
Wikidata QID: Q59126055
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description: scientific article; zbMATH DE number 6948728