一类生化系统的稳定性

The Stability of a Biochemical System

本文通过大系统的分解,讨论了新陈代谢序列闭回路方程的平衡点的稳定性.根据新陈代谢序列闭回路方程的特点,分解大系统得到的子系统可以不是孤立子系统,而是线性子系统或其它子系统,通过分析子系统的稳定性,建立大系统的李雅普诺夫函数,最后得到了大系统的零解稳定性的充分条件.

This paper discusses the asymptotic stability ot a biochemical systemby decomposing the systems.Depending up on the feature of the structureof a biochemical system,the subsystem that we decompose from thelarge-scale system is no longer an isolated subsystem,but a linearsubsystem or other subsystem.The Lyapunov function is constracted withthe help of subsystems' Lyapunov function.At last,the sufficientcondition of the stability of zero solution for some scale system is given.