Title :
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
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;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039867
