Local dissipative Hamiltonian description of reversible reaction networks

Irene Otero-Muras, G. Szederkényi, Antonio A. Alonso, K. Hangos

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

In this letter we show that closed reversible chemical reaction networks with independent elementary reactions admit a global pseudo-Hamiltonian structure which is at least locally dissipative around any equilibrium point. The structure matrix of the Hamiltonian description reflects the graph topology of the reaction network and it is a smooth function of the concentrations of the chemical species in the positive orthant. The physical interpretation of the description is briefly explained and two illustrative examples are presented for global and local dissipative Hamiltonian description, respectively.

Original languageEnglish
Pages (from-to)554-560
Number of pages7
JournalSystems and Control Letters
Volume57
Issue number7
DOIs
Publication statusPublished - Jul 2008

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Hamiltonians
Chemical reactions
Topology

Keywords

  • Hamiltonian systems
  • Nonlinear systems
  • Reaction kinetic systems
  • Reaction networks

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Local dissipative Hamiltonian description of reversible reaction networks. / Otero-Muras, Irene; Szederkényi, G.; Alonso, Antonio A.; Hangos, K.

In: Systems and Control Letters, Vol. 57, No. 7, 07.2008, p. 554-560.

Research output: Contribution to journalArticle

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