# Local stabilizability implies global controllability in catalytic reaction systems

Source: [Local stabilizability implies global controllability in catalytic reaction systems](<https://www.sota2.com/research/paper/68fa4b1a1e209131ce94368a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-27T05:00:04.201Z

Authors: Yusuke Himeoka, Shuhei A. Horiguchi, Naoto Shiraishi, Fangzhou Xiao, Tetsuya J. Kobayashi

Published: 2025-05-11T04:06:46.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2505.06834>)

[PDF](<https://arxiv.org/pdf/2505.06834.pdf>)