New results for finite-time stability of discrete-time linear systems with interval time-varying delay
type: Item
instance of: scholarly article
title: New results for finite-time stability of discrete-time linear systems with interval time-varying delay
zbMATH Open document ID: 1418.93224
DOI: 10.1155/2015/480816
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: The problem of finite-time stability for linear discrete time systems with state time-varying delay is considered in this paper. Two finite sum inequalities for estimating weighted norms of delayed states are proposed in order to obtain less conservative stability criteria. By using Lyapunov-Krasovskii-like functional with power function, two sufficient conditions of finite-time stability are proposed and expressed in the form of linear matrix inequalities (LMIs), which are dependent on the minimum and maximum delay bounds. The numerical example is presented to illustrate the applicability of the developed results. It was shown that the obtained results are less conservative than some existing ones in the literature.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 7025374
author: Sreten B. Stojanovic
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/480816
OpenAlex ID: W1540793273
Wikidata QID: Q59105933
cites work: Q5827187
cites work: Q5555195
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description: scientific article; zbMATH DE number 7025374