On state accessibility in reaction systems
- 1 May 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 38 (5) , 733-742
- https://doi.org/10.1109/9.277237
Abstract
Reaction systems constitute a class of nonlinear dynamical systems relevant in many engineering fields such as chemical engineering, biotechnology, and ecology. The state accessibility rank of generic reaction systems can be characterized, irrespective of the reaction kinetics, by simple algebraic criteria closely related to the underlying structure of the reaction network and the associated exchange dynamicsKeywords
This publication has 12 references indexed in Scilit:
- Nonlinear Dynamical Control SystemsPublished by Springer Nature ,1990
- Structural identifiability of the yield parameters in nonlinear compartmental models for bioprocessesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1990
- QUALITATIVE AND QUANTITATIVE IDENTIFIABILITY ANALYSIS OF NONLINEAR CHEMICAL KINETIC MODELSChemical Engineering Communications, 1989
- Nonlinear Control SystemsPublished by Springer Nature ,1989
- Chemical reaction network structure and the stability of complex isothermal reactors—I. The deficiency zero and deficiency one theoremsChemical Engineering Science, 1987
- Growth of Saccharomyces cerevisiae is controlled by its limited respiratory capacity: Formulation and verification of a hypothesisBiotechnology & Bioengineering, 1986
- Chemical reaction invariants and variants and their use in reactor modeling, simulation, and controlIndustrial & Engineering Chemistry Process Design and Development, 1981
- Existence and uniqueness of minimal realizations of nonlinear systemsTheory of Computing Systems, 1976
- Reaction invariants and their importance in the analysis of eigenvectors, state observability and controllability of the continuous stirred tank reactorChemical Engineering Science, 1974
- Symmetry Breaking Instabilities in Dissipative Systems. IIThe Journal of Chemical Physics, 1968