On the stability of a symmetric hyperbolic linear system with non smooth coefficients

Cheng Zhong Xu, Boumediene Chentouf, Gauthier Sallet

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

The exponential stability of a symmetric hyperbolic linear system with non smooth coefficients is proven. Result improves the one of R1(x,0) = φ1(x) and R2(x,0) = φ2(x) for one dimensional space. The study is motivated by a stability of chemical engineering process, which gives an interesting application to a two coupled contraflow heat exchangers. In fact, the exponential stability is a very desirable property for these heat exchangers.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages4543-4544
Number of pages2
Volume4
Publication statusPublished - 1998
EventProceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA
Duration: Dec 16 1998Dec 18 1998

Other

OtherProceedings of the 1998 37th IEEE Conference on Decision and Control (CDC)
CityTampa, FL, USA
Period12/16/9812/18/98

Fingerprint

Asymptotic stability
Heat exchangers
Linear systems
Chemical engineering

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Xu, C. Z., Chentouf, B., & Sallet, G. (1998). On the stability of a symmetric hyperbolic linear system with non smooth coefficients. In Proceedings of the IEEE Conference on Decision and Control (Vol. 4, pp. 4543-4544). IEEE.

On the stability of a symmetric hyperbolic linear system with non smooth coefficients. / Xu, Cheng Zhong; Chentouf, Boumediene; Sallet, Gauthier.

Proceedings of the IEEE Conference on Decision and Control. Vol. 4 IEEE, 1998. p. 4543-4544.

Research output: Chapter in Book/Report/Conference proceedingChapter

Xu, CZ, Chentouf, B & Sallet, G 1998, On the stability of a symmetric hyperbolic linear system with non smooth coefficients. in Proceedings of the IEEE Conference on Decision and Control. vol. 4, IEEE, pp. 4543-4544, Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC), Tampa, FL, USA, 12/16/98.
Xu CZ, Chentouf B, Sallet G. On the stability of a symmetric hyperbolic linear system with non smooth coefficients. In Proceedings of the IEEE Conference on Decision and Control. Vol. 4. IEEE. 1998. p. 4543-4544
Xu, Cheng Zhong ; Chentouf, Boumediene ; Sallet, Gauthier. / On the stability of a symmetric hyperbolic linear system with non smooth coefficients. Proceedings of the IEEE Conference on Decision and Control. Vol. 4 IEEE, 1998. pp. 4543-4544
@inbook{2fd69dc3eab549dcb6f45c9242ef3391,
title = "On the stability of a symmetric hyperbolic linear system with non smooth coefficients",
abstract = "The exponential stability of a symmetric hyperbolic linear system with non smooth coefficients is proven. Result improves the one of R1(x,0) = φ1(x) and R2(x,0) = φ2(x) for one dimensional space. The study is motivated by a stability of chemical engineering process, which gives an interesting application to a two coupled contraflow heat exchangers. In fact, the exponential stability is a very desirable property for these heat exchangers.",
author = "Xu, {Cheng Zhong} and Boumediene Chentouf and Gauthier Sallet",
year = "1998",
language = "English",
volume = "4",
pages = "4543--4544",
booktitle = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "IEEE",

}

TY - CHAP

T1 - On the stability of a symmetric hyperbolic linear system with non smooth coefficients

AU - Xu, Cheng Zhong

AU - Chentouf, Boumediene

AU - Sallet, Gauthier

PY - 1998

Y1 - 1998

N2 - The exponential stability of a symmetric hyperbolic linear system with non smooth coefficients is proven. Result improves the one of R1(x,0) = φ1(x) and R2(x,0) = φ2(x) for one dimensional space. The study is motivated by a stability of chemical engineering process, which gives an interesting application to a two coupled contraflow heat exchangers. In fact, the exponential stability is a very desirable property for these heat exchangers.

AB - The exponential stability of a symmetric hyperbolic linear system with non smooth coefficients is proven. Result improves the one of R1(x,0) = φ1(x) and R2(x,0) = φ2(x) for one dimensional space. The study is motivated by a stability of chemical engineering process, which gives an interesting application to a two coupled contraflow heat exchangers. In fact, the exponential stability is a very desirable property for these heat exchangers.

UR - http://www.scopus.com/inward/record.url?scp=0032274164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032274164&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0032274164

VL - 4

SP - 4543

EP - 4544

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -