A new bounded real lemma for discrete‐time linear descriptor systems-Reference-Cited by-同舟云学术

A new bounded real lemma for discrete‐time linear descriptor systems

Published:2023-09-18 Issue: Volume: Page:
ISSN:1561-8625
Container-title:Asian Journal of Control
language:en
Short-container-title:Asian Journal of Control

Author:

Wu Jenq‐Lang¹^ORCID,Yung Chee‐Fai¹^ORCID,Liu Wei‐Ting²

Affiliation:

1. Department of Electrical Engineering National Taiwan Ocean University Keelung Taiwan

2. Information Technology Group Chunghwa Telecom Co., Ltd Taipei Taiwan

Abstract

AbstractThis paper presents a new bounded real lemma for discrete‐time linear descriptor systems. We first present a necessary and sufficient condition for the admissibility of discrete‐time descriptor systems expressed in terms of strict linear matrix inequalities (LMIs). We then prove that a discrete‐time descriptor system is ‐stable if and only if a symmetric matrix satisfying two strict LMIs can be found. Two illustrative examples are provided for verification.

Funder

Ministry of Science and Technology, Taiwan

Publisher

Wiley

Subject

Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/asjc.3235

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