Robust Lyapunov Functions for Complex Reaction Networks: An Uncertain System Framework

被引：0

作者：

Al-Radhawi, M. Ali ^{[1
]}

Angeli, David ^{[2
,3
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2BT, England

[2] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2AZ, England

[3] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy

来源：

2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年

关键词：

Lyapunov stability; Linear Parameter Varying Systems; Biochemical Networks; NONSTATIONARY CONTROL-SYSTEMS; SUFFICIENT CONDITIONS; ABSOLUTE STABILITY; SPECIFY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a framework to transform the problem of finding a Lyapunov function for a Complex Reaction Network (CRN) in concentration coordinates with arbitrary monotone kinetics into finding a common Lyapunov function for a linear parameter varying system in reaction coordinates. This is applied to reinterpret previous results on Piecewise Linear in Rates Lyapunov function, and to introduce Piecewise Quadratic in Rates Lyapunov functions for CRNs. The results are illustrated by an example.

引用

页码：3101 / 3106

页数：6

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