Finite-Time Stability Analysis of Switched Genetic Regulatory Networks
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 stabi...
| Published in: | Journal of Applied Mathematics |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Online Access: | http://dx.doi.org/10.1155/2014/730292 |
| _version_ | 1849874071999741952 |
|---|---|
| author | Lizi Yin |
| author_facet | Lizi Yin |
| author_sort | Lizi Yin |
| collection | DOAJ |
| container_title | Journal of Applied Mathematics |
| description | 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. |
| format | Article |
| id | doaj-art-afffd01ee2334656b8689d76b687e2db |
| institution | Directory of Open Access Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| spelling | doaj-art-afffd01ee2334656b8689d76b687e2db2025-08-20T01:12:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/730292730292Finite-Time Stability Analysis of Switched Genetic Regulatory NetworksLizi Yin0School of Control Science and Engineering, Shandong University, Jinan 250061, ChinaThis 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.http://dx.doi.org/10.1155/2014/730292 |
| spellingShingle | Lizi Yin Finite-Time Stability Analysis of Switched Genetic Regulatory Networks |
| title | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks |
| title_full | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks |
| title_fullStr | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks |
| title_full_unstemmed | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks |
| title_short | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks |
| title_sort | finite time stability analysis of switched genetic regulatory networks |
| url | http://dx.doi.org/10.1155/2014/730292 |
| work_keys_str_mv | AT liziyin finitetimestabilityanalysisofswitchedgeneticregulatorynetworks |