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2014 Finite-Time Stability Analysis of Switched Genetic Regulatory Networks
Lizi Yin
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/730292


This paper investigates the finite-time stability problem of switching genetic regulatory networks (GRNs) with interval time-varying delays and unbounded continuous distributed delays. Based on the piecewise Lyapunov-Krasovskii functional and the average dwell time method, some new finite-time stability criteria are obtained in the form of linear matrix inequalities (LMIs), which are easy to be confirmed by the Matlab toolbox. The finite-time stability is taken into account in switching genetic regulatory networks for the first time and the average dwell time of the switching signal is obtained. Two numerical examples are presented to illustrate the effectiveness of our results.


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Lizi Yin. "Finite-Time Stability Analysis of Switched Genetic Regulatory Networks." J. Appl. Math. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07010727
MathSciNet: MR3166785
Digital Object Identifier: 10.1155/2014/730292

Rights: Copyright © 2014 Hindawi


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