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On convergence for ...
On convergence for hybrid models of gene regulatory networks under polytopic uncertainties : a Lyapunov approach
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- Pasquini, Mirko, 1991- (författare)
- KTH,Reglerteknik,Centre for Advanced BioProduction by Continuous Processing, AdBIOPRO,Imperial Coll London, Dept Elect & Elect Engn, London, England
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- Angeli, David (författare)
- Imperial Coll London, Dept Elect & Elect Engn, London, England.;Univ Florence, Dept Informat Engn, Florence, Italy.
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(creator_code:org_t)
- 2021-11-18
- 2021
- Engelska.
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Ingår i: Journal of Mathematical Biology. - : Springer Nature. - 0303-6812 .- 1432-1416. ; 83:6-7
- Relaterad länk:
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- Hybrid models of genetic regulatory networks allow for a simpler analysis with respect to fully detailed quantitative models, still maintaining the main dynamical features of interest. In this paper we consider a piecewise affine model of a genetic regulatory network, in which the parameters describing the production function are affected by polytopic uncertainties. In the first part of the paper, after recalling how the problem of finding a Lyapunov function is solved in the nominal case, we present the considered polytopic uncertain system and then, after describing how to deal with sliding mode solutions, we prove a result of existence of a parameter dependent Lyapunov function subject to the solution of a feasibility linear matrix inequalities problem. In the second part of the paper, based on the previously described Lyapunov function, we are able to determine a set of domains where the system is guaranteed to converge, with the exception of a zero measure set of times, independently from the uncertainty realization. Finally a three nodes network example shows the validity of the results.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- Gene regulatory networks
- Lyapunov methods
- Linear matrix inequalities
- Convergence analysis
- Systems biology
- Polytopic uncertainties
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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