Bounded realness for discrete-time jump descriptor systems

Chan Eun Park, Poo Gyeon Park

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we propose a new bounded real lemma (BRL) for discrete-time jump descriptor systems (DJDSs). While the existing studies consider the sufficient condition for the BRL of DJDSs, this paper successfully suggests the necessary and sufficient condition for the BRL of DJDSs. To hold the necessity and sufficiency in terms of linear matrix inequality, two slack variables are introduced by coupling the variables and matrix in the null-space of the singular matrix in DJDSs. A numerical example is provided to show the validity of the result.

Original languageEnglish
Title of host publication2020 59th IEEE Conference on Decision and Control, CDC 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4854-4858
Number of pages5
ISBN (Electronic)9781728174471
DOIs
StatePublished - 14 Dec 2020
Event59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republic of
Duration: 14 Dec 202018 Dec 2020

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2020-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference59th IEEE Conference on Decision and Control, CDC 2020
Country/TerritoryKorea, Republic of
CityVirtual, Jeju Island
Period14/12/2018/12/20

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