Structural stability of biochemical networks : Quadratic vs. polyhedral Lyapunov functions
(2015) 8th IFAC Symposium on Robust Control Design, ROCOND 2015 48. p.278-283- Abstract
Due to the intrinsic uncertainty and variability affecting biochemical reaction networks, it is fundamental to assess their structural stability, i.e., to establish if all the networks having a given structure are stable independent of specific parameter values. For basic motifs in biochemical networks, we show that stability cannot be structurally proved by quadratic Lyapunov functions. However, structural stability of these motifs can be shown resorting to piecewise-linear Lyapunov functions, based on the results by Blanchini and Giordano (2014), who provide a theoretical framework and efficient numerical methods to evaluate structural stability of biochemical reaction networks with monotone reaction rates.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8aa2513d-d80b-441a-9dc5-7fd3c0f2ab58
- author
- Blanchini, Franco and Giordano, Giulia LU
- organization
- publishing date
- 2015-07-01
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Biochemical networks, Biochemical systems, Graph, Piecewise-linear Lyapunov functions, Quadratic Lyapunov functions, Structural stability
- host publication
- IFAC Proceedings Volumes (IFAC-PapersOnline)
- volume
- 48
- edition
- 14
- pages
- 6 pages
- publisher
- IFAC Secretariat
- conference name
- 8th IFAC Symposium on Robust Control Design, ROCOND 2015
- conference location
- Bratislava, Slovakia
- conference dates
- 2015-07-08 - 2015-07-11
- external identifiers
-
- scopus:84992488243
- DOI
- 10.1016/j.ifacol.2015.09.470
- language
- English
- LU publication?
- no
- id
- 8aa2513d-d80b-441a-9dc5-7fd3c0f2ab58
- date added to LUP
- 2016-07-06 15:21:05
- date last changed
- 2022-01-30 04:58:43
@inproceedings{8aa2513d-d80b-441a-9dc5-7fd3c0f2ab58, abstract = {{<p>Due to the intrinsic uncertainty and variability affecting biochemical reaction networks, it is fundamental to assess their structural stability, i.e., to establish if all the networks having a given structure are stable independent of specific parameter values. For basic motifs in biochemical networks, we show that stability cannot be structurally proved by quadratic Lyapunov functions. However, structural stability of these motifs can be shown resorting to piecewise-linear Lyapunov functions, based on the results by Blanchini and Giordano (2014), who provide a theoretical framework and efficient numerical methods to evaluate structural stability of biochemical reaction networks with monotone reaction rates.</p>}}, author = {{Blanchini, Franco and Giordano, Giulia}}, booktitle = {{IFAC Proceedings Volumes (IFAC-PapersOnline)}}, keywords = {{Biochemical networks; Biochemical systems; Graph; Piecewise-linear Lyapunov functions; Quadratic Lyapunov functions; Structural stability}}, language = {{eng}}, month = {{07}}, pages = {{278--283}}, publisher = {{IFAC Secretariat}}, title = {{Structural stability of biochemical networks : Quadratic vs. polyhedral Lyapunov functions}}, url = {{http://dx.doi.org/10.1016/j.ifacol.2015.09.470}}, doi = {{10.1016/j.ifacol.2015.09.470}}, volume = {{48}}, year = {{2015}}, }