Local stabilizability implies global controllability in catalytic reaction systems
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911466346512384 |
|---|---|
| author | Himeoka, Yusuke Horiguchi, Shuhei A. Shiraishi, Naoto Xiao, Fangzhou Kobayashi, Tetsuya J. |
| author_facet | Himeoka, Yusuke Horiguchi, Shuhei A. Shiraishi, Naoto Xiao, Fangzhou Kobayashi, Tetsuya J. |
| contents | Controlling complex reaction networks is a fundamental challenge in the fields of physics, biology, and systems engineering. Here, we prove a general principle for catalytic reaction systems with kinetics where the reaction order and the stoichiometric coefficient match: the local stabilizability of a given state implies global controllability within its stoichiometric compatibility class. In other words, if a target state can be maintained against small perturbations, the system can be controlled from any initial condition to that state. This result highlights a tight link between the local and global dynamics of nonlinear chemical reaction systems, providing a mathematical criterion for global reachability that is often elusive in high-dimensional systems. The finding illuminate the robustness of biochemical systems and offers a way to control catalytic reaction systems in a generic framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06834 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local stabilizability implies global controllability in catalytic reaction systems Himeoka, Yusuke Horiguchi, Shuhei A. Shiraishi, Naoto Xiao, Fangzhou Kobayashi, Tetsuya J. Biological Physics Subcellular Processes Controlling complex reaction networks is a fundamental challenge in the fields of physics, biology, and systems engineering. Here, we prove a general principle for catalytic reaction systems with kinetics where the reaction order and the stoichiometric coefficient match: the local stabilizability of a given state implies global controllability within its stoichiometric compatibility class. In other words, if a target state can be maintained against small perturbations, the system can be controlled from any initial condition to that state. This result highlights a tight link between the local and global dynamics of nonlinear chemical reaction systems, providing a mathematical criterion for global reachability that is often elusive in high-dimensional systems. The finding illuminate the robustness of biochemical systems and offers a way to control catalytic reaction systems in a generic framework. |
| title | Local stabilizability implies global controllability in catalytic reaction systems |
| topic | Biological Physics Subcellular Processes |
| url | https://arxiv.org/abs/2505.06834 |