Stability and l1 Gain Analysis of Boolean Networks with Markovian Jump Parameters

Min Meng; Lu Liu; Gang Feng

doi:10.1109/TAC.2017.2679903

Author(s)

Min Meng
Lu Liu
Gang Feng

Detail(s)

Original language	English
Article number	7874087
Pages (from-to)	4222-4228
Journal / Publication	IEEE Transactions on Automatic Control
Volume	62
Issue number	8
Online published	8 Mar 2017
Publication status	Published - Aug 2017

Link(s)

DOI	DOI https://doi.org/10.1109/TAC.2017.2679903 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85029324254&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(0bc88de3-b4a0-42ba-9cf8-d8f2755e6db2).html

Abstract

This paper presents some results on stability and l₁ gain analysis of Boolean networks with Markovian jump parameters. A necessary and sufficient condition for global stability of the concerned Boolean networks is given in terms of linear programming by utilizing the semi-tensor product of matrices and some properties of linear positive systems. Then the definition of Lyapunov function for stochastic Boolean networks is presented and a Lyapunov theorem is derived. Moreover, an l₁ gain problem for stochastic Boolean networks with external disturbances is formulated and solved by a sufficient condition. Examples are shown to illustrate the effectiveness of the obtained results.

Research Area(s)

Boolean networks (BNs), l1 gain, Markovian jump parameters, semi-tensor product (STP), stochastic Lyapunov function

Citation Format(s)

[ RIS ] [ BibTeX ]

Stability and l₁ Gain Analysis of Boolean Networks with Markovian Jump Parameters. / Meng, Min; Liu, Lu ; Feng, Gang.
In: IEEE Transactions on Automatic Control, Vol. 62, No. 8, 7874087, 08.2017, p. 4222-4228.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Meng, M, Liu, L & Feng, G 2017, 'Stability and l₁ Gain Analysis of Boolean Networks with Markovian Jump Parameters', IEEE Transactions on Automatic Control, vol. 62, no. 8, 7874087, pp. 4222-4228. https://doi.org/10.1109/TAC.2017.2679903

Meng, M., Liu, L., & Feng, G. (2017). Stability and l₁ Gain Analysis of Boolean Networks with Markovian Jump Parameters. IEEE Transactions on Automatic Control, 62(8), 4222-4228. [7874087]. https://doi.org/10.1109/TAC.2017.2679903

Meng M, Liu L , Feng G. Stability and l₁ Gain Analysis of Boolean Networks with Markovian Jump Parameters. IEEE Transactions on Automatic Control. 2017 Aug;62(8):4222-4228. 7874087. Epub 2017 Mar 8. doi: 10.1109/TAC.2017.2679903

Meng, Min ; Liu, Lu ; Feng, Gang. / Stability and l₁ Gain Analysis of Boolean Networks with Markovian Jump Parameters. In: IEEE Transactions on Automatic Control. 2017 ; Vol. 62, No. 8. pp. 4222-4228.