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.

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://archive.numdam.org/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://archive.numdam.org/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://archive.numdam.org/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, Volume 7 (2002), pp. 421-442. doi : 10.1051/cocv:2002062. http://archive.numdam.org/articles/10.1051/cocv:2002062/

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