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Conference Paper: On the Stability of Piecewise Genetic Regulatory Networks
Title | On the Stability of Piecewise Genetic Regulatory Networks |
---|---|
Authors | |
Keywords | piecewise genetic regulatory networks stability sum of squares |
Issue Date | 2013 |
Publisher | Newswood Ltd. ; International Association of Engineers. |
Citation | World Congress on Engineering (WCE 2013), London, UK, 3-5 July 2013. In the Proceedings of the World Congress on Engineering (WCE), 2013, v. 2, p. 1391-1396 How to Cite? |
Abstract | The hybrid dynamics of the genetic regulatory
networks (GRNs) have attracted much research attention in
recent years. This paper is concerned with the stability analysis
of piecewise GRNs. Depending on whether the state partitions
and mode transitions are known or unknown as a priori, the
proposed networks are divided into two categories, i.e., switched
GRNs and hybrid GRNs. It is shown that, by using common
polynomial Lyapunov functions and piecewise polynomial Lyapunov
functions, two conditions are established to ensure the
globally asymptotically stability for switched and hybrid GRNs,
respectively. Moreover, it is shown that, by using the sum of
squares (SOS) techniques, stability conditions in form of linear
matrix inequalities (LMIs) for both models can be obtained.
An example with synthetic hybrid GRN model is provided to
illustrate the use of the proposed methodology. |
Description | The 2013 International Conference of Systems Biology and Bioengineering (ICSBB'13) is held under the World Congress on Engineering (WCE) 2013 The article can be viewed at: http://www.iaeng.org/publication/WCE2013/WCE2013_pp1391-1396.pdf |
Persistent Identifier | http://hdl.handle.net/10722/199361 |
ISBN |
DC Field | Value | Language |
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dc.contributor.author | Li, J | en_US |
dc.contributor.author | Chesi, G | en_US |
dc.contributor.author | Shen, T | en_US |
dc.date.accessioned | 2014-07-22T01:15:36Z | - |
dc.date.available | 2014-07-22T01:15:36Z | - |
dc.date.issued | 2013 | en_US |
dc.identifier.citation | World Congress on Engineering (WCE 2013), London, UK, 3-5 July 2013. In the Proceedings of the World Congress on Engineering (WCE), 2013, v. 2, p. 1391-1396 | en_US |
dc.identifier.isbn | 9789881925282 | - |
dc.identifier.uri | http://hdl.handle.net/10722/199361 | - |
dc.description | The 2013 International Conference of Systems Biology and Bioengineering (ICSBB'13) is held under the World Congress on Engineering (WCE) 2013 | - |
dc.description | The article can be viewed at: http://www.iaeng.org/publication/WCE2013/WCE2013_pp1391-1396.pdf | - |
dc.description.abstract | The hybrid dynamics of the genetic regulatory networks (GRNs) have attracted much research attention in recent years. This paper is concerned with the stability analysis of piecewise GRNs. Depending on whether the state partitions and mode transitions are known or unknown as a priori, the proposed networks are divided into two categories, i.e., switched GRNs and hybrid GRNs. It is shown that, by using common polynomial Lyapunov functions and piecewise polynomial Lyapunov functions, two conditions are established to ensure the globally asymptotically stability for switched and hybrid GRNs, respectively. Moreover, it is shown that, by using the sum of squares (SOS) techniques, stability conditions in form of linear matrix inequalities (LMIs) for both models can be obtained. An example with synthetic hybrid GRN model is provided to illustrate the use of the proposed methodology. | - |
dc.language | eng | en_US |
dc.publisher | Newswood Ltd. ; International Association of Engineers. | - |
dc.relation.ispartof | Proceedings of the World Congress on Engineering (WCE 2013) | en_US |
dc.subject | piecewise genetic regulatory networks | - |
dc.subject | stability | - |
dc.subject | sum of squares | - |
dc.title | On the Stability of Piecewise Genetic Regulatory Networks | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | en_US |
dc.identifier.authority | Chesi, G=rp00100 | en_US |
dc.identifier.hkuros | 230389 | en_US |
dc.identifier.volume | 2 | - |
dc.identifier.spage | 1391 | en_US |
dc.identifier.epage | 1396 | en_US |
dc.publisher.place | Hong Kong | - |