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

Wang, L., 2018, [Groningen]: University of Groningen. 108 p.

Research output: ThesisThesis fully internal (DIV)Academic

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  • Li Wang
In this dissertation, we use different approaches to the geometric modeling and analysis of non-isothermal mass action kinetics chemical reaction networks. These approaches can be divided into two classes: one based on the port-Hamiltonian system theory, and the other based on the theory of contact systems. The first approach studied is the irreversible port-Hamiltonian formulation generated by the total internal energy. Beginning with the overview of mathematical structure of chemical reaction networks in the non-isothermal case, we establish the irreversible port-Hamiltonian formulation of non-isothermal chemical reaction networks and then investigate its thermodynamic analysis. The second approach studied is the quasi port-Hamiltonian system generated by the total entropy. In this port-Hamiltonian system, not only the energy balance equations but also the entropy balance equations will be used. The thermodynamic analysis is carried out as well, including the characterization of equilibria and their asymptotic stability. Otherwise, the modeling of interconnection of chemical reaction networks has been explored. The third approach is the control contact system with structure-preserving feedback. A series of control designs by structure-preserving state feedback has been studied in order to add some constraints. Local stability analysis has been carried out to determine the structure-preserving state feedback, through the equilibrium conditions for the closed-loop contact system and the Jacobian matrix of the closed-loop contact vector field. Furthermore, conditions for local and partial stability on the closed-loop invariant Legendre sub manifold have been given, in order to determine the controlled contact Hamiltonian and to verify the correctness of the structure-preserving feedback.
Original languageEnglish
Awarding Institution
  • Schaft, van der, Arjan, Supervisor
  • Maschke, B., Supervisor, External person
  • Jayawardhana, Bayu, Assessment committee
  • Lefevre, L., Assessment committee, External person
  • Alonso, A., Assessment committee, External person
Award date9-Apr-2018
Place of Publication[Groningen]
Print ISBNs978-94-034-0576-6
Electronic ISBNs978-94-034-0575-9
Publication statusPublished - 2018

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