An improved finite-time stability and stabilization of linear system with constant delay
type: Item
instance of: scholarly article
title: An improved finite-time stability and stabilization of linear system with constant delay
zbMATH Open document ID: 1407.93336
DOI: 10.1155/2014/154769
author: Thaned Rojsiraphisal
author: Jirapong Puangmalai
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Practical systems in engineering fields often require that values of state variables, during the finite-time interval, must not exceed a certain value when the initial values of state are given. This leads us to investigate the finite-time stability and stabilization of a linear system with a constant time-delay. Sufficient conditions to guarantee the finite-time stability and stabilization are derived by using a new form of Lyapunov-Krasovskii functional and a desired state-feedback controller. These conditions are in the form of LMIs and inequalities. Two numerical examples are given to show the effectiveness of the proposed criteria. Results show that our proposed criteria are less conservative than previous works in terms of versatility of minimum bounds and larger bounds of time-delay.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34H15
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 39B05
zbMATH DE Number: 7015803
Wikidata QID: Q59063295
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/154769
OpenAlex ID: W2027048218
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description: scientific article; zbMATH DE number 7015803