Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations
Abstract This work is concerned with the problem for stochastic genetic regulatory networks (GRNs) subject to mixed time delays via passivity control in which mixed time delays consist of leakage, discrete, and distributed delays. The main aim of this paper is constructing a passivity-based criteria...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03504-8 |
| _version_ | 1819151817794125824 |
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| author | S. Senthilraj T. Saravanakumar R. Raja J. Alzabut |
| author_facet | S. Senthilraj T. Saravanakumar R. Raja J. Alzabut |
| author_sort | S. Senthilraj |
| collection | DOAJ |
| description | Abstract This work is concerned with the problem for stochastic genetic regulatory networks (GRNs) subject to mixed time delays via passivity control in which mixed time delays consist of leakage, discrete, and distributed delays. The main aim of this paper is constructing a passivity-based criteria under impulsive perturbations such that the proposed GRNs are stochastically stable. Based on the Lyapunov functional method and Jensen’s integral inequality, we obtain a new set of novel passivity based delay-dependent sufficient condition in the form of LMIs, which can be determined via existing numerical software. Finally, we propose numerical simulations to show the efficiency of the proposed method. |
| first_indexed | 2024-12-22T14:39:26Z |
| format | Article |
| id | doaj.art-66a1709a41084b159979de2d841fb3bf |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-22T14:39:26Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-66a1709a41084b159979de2d841fb3bf2022-12-21T18:22:34ZengSpringerOpenAdvances in Difference Equations1687-18472021-07-012021112610.1186/s13662-021-03504-8Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbationsS. Senthilraj0T. Saravanakumar1R. Raja2J. Alzabut3Department of Mathematics, Velalar College of Engineering and TechnologyInstitute of Mathematics, VASTRamanujan Centre for Higher Mathematics, Alagappa UniversityDepartment of Mathematics and General Sciences, Prince Sultan UniversityAbstract This work is concerned with the problem for stochastic genetic regulatory networks (GRNs) subject to mixed time delays via passivity control in which mixed time delays consist of leakage, discrete, and distributed delays. The main aim of this paper is constructing a passivity-based criteria under impulsive perturbations such that the proposed GRNs are stochastically stable. Based on the Lyapunov functional method and Jensen’s integral inequality, we obtain a new set of novel passivity based delay-dependent sufficient condition in the form of LMIs, which can be determined via existing numerical software. Finally, we propose numerical simulations to show the efficiency of the proposed method.https://doi.org/10.1186/s13662-021-03504-8Stochastic GRNsImpulsesLeakage delayPassivityDistributed delay |
| spellingShingle | S. Senthilraj T. Saravanakumar R. Raja J. Alzabut Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations Advances in Difference Equations Stochastic GRNs Impulses Leakage delay Passivity Distributed delay |
| title | Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations |
| title_full | Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations |
| title_fullStr | Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations |
| title_full_unstemmed | Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations |
| title_short | Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations |
| title_sort | delay dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations |
| topic | Stochastic GRNs Impulses Leakage delay Passivity Distributed delay |
| url | https://doi.org/10.1186/s13662-021-03504-8 |
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