Imperial College London
Portrait Picture

Prof David Angeli

Faculty of Engineering, Department of Electrical and Electronic Engineering

Professor of Nonlinear Network Dynamics
 
 
 
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Contact

 

+44 (0)20 7594 6283d.angeli Website

 
 
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Location

 

1107CElectrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Angeli:2022:10.1109/TAC.2021.3096807,
author = {Angeli, D and Al-Radhawi, MA and Sontag, ED},
doi = {10.1109/TAC.2021.3096807},
journal = {IEEE Transactions on Automatic Control},
pages = {3305--3320},
title = {A robust Lyapunov criterion for nonoscillatory behaviors in biological interaction networks},
url = {http://dx.doi.org/10.1109/TAC.2021.3096807},
volume = {67},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We introduce the notion of nonoscillation, propose a constructive method for its robust verification, and study its application to biological interaction networks (also known as, chemical reaction networks). We begin by revisiting Muldowney’s result on the nonexistence of periodic solutions based on the study of the variational system of the second additive compound of the Jacobian of a nonlinear system. We show that exponential stability of the latter rules out limit cycles, quasi-periodic solutions, and broad classes of oscillatory behavior. We focus then on nonlinear equations arising in biological interaction networks with general kinetics, and we show that the dynamics of the aforementioned variational system can be embedded in a linear differential inclusion. We then propose algorithms for constructing piecewise linear Lyapunov functions to certify global robust nonoscillatory behavior. Finally, we apply our techniques to study several regulated enzymatic cycles, where available methods are not able to provide any information about their qualitative global behavior.
AU  - Angeli,D
AU  - Al-Radhawi,MA
AU  - Sontag,ED
DO  - 10.1109/TAC.2021.3096807
EP  - 3320
PY  - 2022///
SN  - 0018-9286
SP  - 3305
TI  - A robust Lyapunov criterion for nonoscillatory behaviors in biological interaction networks
T2  - IEEE Transactions on Automatic Control
UR  - http://dx.doi.org/10.1109/TAC.2021.3096807
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000818858700009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
UR  - https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9484827
UR  - http://hdl.handle.net/10044/1/101522
VL  - 67
ER  -
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