Finite-Time Stability Analysis of Switched Genetic Regulatory Networks | Zendy

Lizi Yin | Zendy

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Finite-Time Stability Analysis of Switched Genetic Regulatory Networks

Author(s) -

Lizi Yin

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/730292

Subject(s) - dwell time , stability (learning theory) , piecewise , interval (graph theory) , matlab , control theory (sociology) , mathematics , exponential stability , toolbox , computer science , mathematical optimization , nonlinear system , control (management) , mathematical analysis , medicine , clinical psychology , physics , combinatorics , machine learning , artificial intelligence , quantum mechanics , programming language , operating system

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 theeffectiveness of our results

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