On robust stabilization of uncertain delay differential systems of neutral type

Wu-Hua Chen; Wei Xing Zheng

On robust stabilization of uncertain delay differential systems of neutral type

Research output: Chapter in Book / Conference Paper › Conference Paper

Abstract

In this paper we investigate the problems of robust stability and robust stabilization of uncertain neutral systems with distributed delays. We combine the descriptor system approach and the integral inequality technique together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for robust stability of uncertain delay neutral systems. We then apply this combined methodology to develop new delay-dependent sufficient conditions in the form of LMIs for robust stabilization of such systems. We finally use some illustrative examples to demonstrate the effectiveness of our results, including the improvements over the existing results.

Original language	English
Title of host publication	45th IEEE Conference on Decision and Control final program and book of abstracts : the Manchester Grand Hyatt, December 13-15, 2006, San Diego, CA, USA
Publisher	Institute of Electrical and Electronics Engineers
Number of pages	6
ISBN (Print)	1424401712
Publication status	Published - 2006
Event	IEEE Conference on Decision and Control - Duration: 12 Dec 2017 → …

Conference

Conference	IEEE Conference on Decision and Control
Period	12/12/17 → …

Keywords

delay-differential systems
linear matrix inequalities
robust control
uncertain systems

Cite this

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title = "On robust stabilization of uncertain delay differential systems of neutral type",

abstract = "In this paper we investigate the problems of robust stability and robust stabilization of uncertain neutral systems with distributed delays. We combine the descriptor system approach and the integral inequality technique together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for robust stability of uncertain delay neutral systems. We then apply this combined methodology to develop new delay-dependent sufficient conditions in the form of LMIs for robust stabilization of such systems. We finally use some illustrative examples to demonstrate the effectiveness of our results, including the improvements over the existing results.",

keywords = "delay-differential systems, linear matrix inequalities, robust control, uncertain systems",

author = "Wu-Hua Chen and Zheng, {Wei Xing}",

year = "2006",

language = "English",

isbn = "1424401712",

booktitle = "45th IEEE Conference on Decision and Control final program and book of abstracts : the Manchester Grand Hyatt, December 13-15, 2006, San Diego, CA, USA",

publisher = "Institute of Electrical and Electronics Engineers",

note = "IEEE Conference on Decision and Control ; Conference date: 12-12-2017",

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On robust stabilization of uncertain delay differential systems of neutral type. / Chen, Wu-Hua; Zheng, Wei Xing.
45th IEEE Conference on Decision and Control final program and book of abstracts : the Manchester Grand Hyatt, December 13-15, 2006, San Diego, CA, USA. Institute of Electrical and Electronics Engineers, 2006.

Research output: Chapter in Book / Conference Paper › Conference Paper

TY - GEN

T1 - On robust stabilization of uncertain delay differential systems of neutral type

AU - Chen, Wu-Hua

AU - Zheng, Wei Xing

PY - 2006

Y1 - 2006

N2 - In this paper we investigate the problems of robust stability and robust stabilization of uncertain neutral systems with distributed delays. We combine the descriptor system approach and the integral inequality technique together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for robust stability of uncertain delay neutral systems. We then apply this combined methodology to develop new delay-dependent sufficient conditions in the form of LMIs for robust stabilization of such systems. We finally use some illustrative examples to demonstrate the effectiveness of our results, including the improvements over the existing results.

AB - In this paper we investigate the problems of robust stability and robust stabilization of uncertain neutral systems with distributed delays. We combine the descriptor system approach and the integral inequality technique together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for robust stability of uncertain delay neutral systems. We then apply this combined methodology to develop new delay-dependent sufficient conditions in the form of LMIs for robust stabilization of such systems. We finally use some illustrative examples to demonstrate the effectiveness of our results, including the improvements over the existing results.

KW - delay-differential systems

KW - linear matrix inequalities

KW - robust control

KW - uncertain systems

UR - http://handle.uws.edu.au:8081/1959.7/36215

M3 - Conference Paper

SN - 1424401712

BT - 45th IEEE Conference on Decision and Control final program and book of abstracts : the Manchester Grand Hyatt, December 13-15, 2006, San Diego, CA, USA

PB - Institute of Electrical and Electronics Engineers

T2 - IEEE Conference on Decision and Control

Y2 - 12 December 2017

ER -

On robust stabilization of uncertain delay differential systems of neutral type

Abstract

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Keywords

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