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Modeling and analysis of non-isothermal chemical reaction networks: A port-Hamiltonian and contact geometry approach

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University of Groningen

Modeling and analysis of non-isothermal chemical reaction networks

Wang, Li

IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below.

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Publication date: 2018

Link to publication in University of Groningen/UMCG research database

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Wang, L. (2018). Modeling and analysis of non-isothermal chemical reaction networks: A port-Hamiltonian and contact geometry approach. University of Groningen.

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1. Both   port-­‐Hamiltonian   system   theory   and   the   theory   of   contact   systems   provide   an   appropriate   geometric   framework   for   the   modeling  of  non-­‐isothermal  chemical  reaction  networks.  [Chapter   2-­‐5]  

2. For   two   different   temperatures,   the   sets   of   equilibria   of   a   non-­‐isothermal  chemical  reaction  network   are  disjoint.   [Chapter   2-­‐3]  

3. In   the   modeling   of   non-­‐isothermal   chemical   reaction   networks,     the  entropy  S  can  be  used  as  the  Hamiltonian  function.  [Chapter   3]  

4. The  two  port-­‐Hamiltonian  approaches  to  the  modeling  of  the   interconnection  of  chemical  reaction  networks  can  be  proved  to   be  equivalent  by  eliminating  the  power  port  constraints.  [Chapter   4]  

5. The   desired   Hamiltonian   function   which   generates   the   stable   invariant   Legendre   submanifold   can   be   determined   through   the   stabilization   of   contact   systems   with   structure   preserving   feedback.  [Chapter  5]  

6. 当我沉默着的时候,我觉得充实;我将开口,同时感到空虚。   When  

I  am  silent,  I  feel  replete;  as  I  open  my  mouth  to  speak,  I  am   conscious  of  emptiness.  [Wild  Grass  by  Lu  Xun,  translated  by  Yang   Xianyi]  

7. PhD   Life   is   a   miniature   of   life;   full   of   smiles   and   tears,   getting   together  and  going  away.  

Propositions  to  accompany  the  thesis    

Modeling  and  Analysis  of  Non-­‐isothermal  

Chemical  Reaction  Networks  

A  port-­‐Hamiltonian  and  contact  geometry  approach  

  Li  WANG  

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