On Stability of Two Kinds of Delayed Chemical Reaction Networks

Autor: Zhang, Xiaoyu, Gao, Chuanhou, Dochain, Denis
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: For the networks that are linear conjugate to complex balanced systems, the delayed version may include two classes of networks: one class is still linear conjugate to the delayed complex balanced network, the other is not. In this paper, we prove the existence of the first class of networks, and emphasize the local asymptotic stability relative to a certain defined invariant set. For the second class of systems, we define a special subclass and derive the local asymptotic stability for the subclass. Two examples are provided to illustrate our results.
Databáze: arXiv