### Abstract

The exponential stability of a symmetric hyperbolic linear system with non smooth coefficients is proven. Result improves the one of R_{1}(x,0) = φ_{1}(x) and R_{2}(x,0) = φ_{2}(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 language | English |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | IEEE |

Pages | 4543-4544 |

Number of pages | 2 |

Volume | 4 |

Publication status | Published - 1998 |

Event | Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA Duration: Dec 16 1998 → Dec 18 1998 |

### Other

Other | Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) |
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City | Tampa, FL, USA |

Period | 12/16/98 → 12/18/98 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*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.

}

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 -