Kron Reduction of Open Chemical Reaction Network: Zero-Moment Matching and a Priori Error Bound Via Generalized Gramian (I)

Autor: Prawira Negara, Agung, Burohman, Azka, Jayawardhana, Bayu, Baumann, Michael Heinrich, Grüne, Lars, Jacob, Birgit Jacob, Worthmann, Karl
Přispěvatelé: Discrete Technology and Production Automation, Systems, Control and Applied Analysis
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Proceedings of the 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022)
Popis: We propose a Kron-based model reduction method for open chemical reaction networks with constant inflow and proportional outflow, which guarantees the preservation of network structures and interlacing property of the reduced-order model. We further show that the proposed Kron-based model reduction method achieves zero-moment matching for nonlinear systems. Lastly, for single-species single-substrate open chemical reaction networks, we present a Gramian-based approach to optimally select the removed nodes and provide the corresponding a priori error bound.
Databáze: OpenAIRE