Geodesic
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 421-442

Voir la notice de l'article provenant de la source Numdam

In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent theory of well-posed infinite-dimensional linear systems, we prove that the system is regular and derive various properties of its transfer functions, which are potentially useful for controller design. Our results remain valid for a wide class of processes governed by symmetric hyperbolic systems.

DOI : 10.1051/cocv:2002062
Classification : 93D09, 93D25, 80A20, 35L50
Keywords: heat exchangers, symmetric hyperbolic equations, exponential stability, regular systems, transfer functions 
@article{COCV_2002__7__421_0,
     author = {Xu, Cheng-Zhong and Sallet, Gauthier},
     title = {Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {421--442},
     publisher = {EDP-Sciences},
     volume = {7},
     year = {2002},
     doi = {10.1051/cocv:2002062},
     mrnumber = {1925036},
     zbl = {1040.93031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002062/}
}
TY  - JOUR
AU  - Xu, Cheng-Zhong
AU  - Sallet, Gauthier
TI  - Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2002
SP  - 421
EP  - 442
VL  - 7
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002062/
DO  - 10.1051/cocv:2002062
LA  - en
ID  - COCV_2002__7__421_0
ER  - 
%0 Journal Article
%A Xu, Cheng-Zhong
%A Sallet, Gauthier
%T Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2002
%P 421-442
%V 7
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002062/
%R 10.1051/cocv:2002062
%G en
%F COCV_2002__7__421_0
Xu, Cheng-Zhong; Sallet, Gauthier. Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 421-442. doi: 10.1051/cocv:2002062

Cité par Sources :