Robust Lyapunov functions for Complex Reaction Networks: An uncertain system framework

Author

Al-Radhawi, M. Ali ; Angeli, David

Author_Institution

Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK

fYear

2014

fDate

15-17 Dec. 2014

Firstpage

3101

Lastpage

3106

Abstract

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.

Keywords

Lyapunov methods; large-scale systems; linear systems; piecewise linear techniques; robust control; uncertain systems; CRN; arbitrary monotone kinetics; common Lyapunov function; complex reaction networks; concentration coordinates; linear parameter varying system; piecewise linear; piecewise quadratic; rates Lyapunov function; reaction coordinates; robust Lyapunov functions; uncertain system framework; Asymptotic stability; Kinetic theory; Lyapunov methods; Robustness; Stability analysis; Uncertain systems; Vectors; Biochemical Networks; Linear Parameter Varying Systems; Lyapunov stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on

Conference_Location

Los Angeles, CA

Print_ISBN

978-1-4799-7746-8

Type

conf

DOI

10.1109/CDC.2014.7039867

Filename

7039867