Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality
The problem of finite-time stability of switched genetic regulatory networks (GRNs) with time-varying delays via Wirtinger’s integral inequality is addressed in this study. A novel Lyapunov–Krasovskii functional is proposed to capture the dynamical characteristic of GRNs. Using Wirtinger’s integral...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9540548 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550923933581312 |
|---|---|
| author | Shanmugam Saravanan M. Syed Ali Grienggrai Rajchakit Bussakorn Hammachukiattikul Bandana Priya Ganesh Kumar Thakur |
| author_facet | Shanmugam Saravanan M. Syed Ali Grienggrai Rajchakit Bussakorn Hammachukiattikul Bandana Priya Ganesh Kumar Thakur |
| author_sort | Shanmugam Saravanan |
| collection | DOAJ |
| description | The problem of finite-time stability of switched genetic regulatory networks (GRNs) with time-varying delays via Wirtinger’s integral inequality is addressed in this study. A novel Lyapunov–Krasovskii functional is proposed to capture the dynamical characteristic of GRNs. Using Wirtinger’s integral inequality, reciprocally convex combination technique and the average dwell time method conditions in the form of linear matrix inequalities (LMIs) are established for finite-time stability of switched GRNs. The applicability of the developed finite-time stability conditions is validated by numerical results. |
| format | Article |
| id | doaj-art-a0568d3c2ca04b54b44a6f6e38aafbd1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a0568d3c2ca04b54b44a6f6e38aafbd12025-02-03T06:05:26ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/95405489540548Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral InequalityShanmugam Saravanan0M. Syed Ali1Grienggrai Rajchakit2Bussakorn Hammachukiattikul3Bandana Priya4Ganesh Kumar Thakur5School of Mechanical Engineering, Pusan National University, Busan 46241, Republic of KoreaDepartment of Mathematics, Thiruvalluvar University, Vellore 632 115, Tamilnadu, IndiaSchool of Mechanical Engineering, Pusan National University, Busan 46241, Republic of KoreaDepartment of Mathematics, Thiruvalluvar University, Vellore 632 115, Tamilnadu, IndiaDepartment of Applied Sciences, Krishna Engineering College, Ghaziabad 201007, Uttar Pradesh, IndiaDepartment of Applied Science, GL Bajaj Institute of Technology and Management, Greater Noida, Uttar Pradesh, IndiaThe problem of finite-time stability of switched genetic regulatory networks (GRNs) with time-varying delays via Wirtinger’s integral inequality is addressed in this study. A novel Lyapunov–Krasovskii functional is proposed to capture the dynamical characteristic of GRNs. Using Wirtinger’s integral inequality, reciprocally convex combination technique and the average dwell time method conditions in the form of linear matrix inequalities (LMIs) are established for finite-time stability of switched GRNs. The applicability of the developed finite-time stability conditions is validated by numerical results.http://dx.doi.org/10.1155/2021/9540548 |
| spellingShingle | Shanmugam Saravanan M. Syed Ali Grienggrai Rajchakit Bussakorn Hammachukiattikul Bandana Priya Ganesh Kumar Thakur Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality Complexity |
| title | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality |
| title_full | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality |
| title_fullStr | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality |
| title_full_unstemmed | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality |
| title_short | Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality |
| title_sort | finite time stability analysis of switched genetic regulatory networks with time varying delays via wirtinger s integral inequality |
| url | http://dx.doi.org/10.1155/2021/9540548 |
| work_keys_str_mv | AT shanmugamsaravanan finitetimestabilityanalysisofswitchedgeneticregulatorynetworkswithtimevaryingdelaysviawirtingersintegralinequality AT msyedali finitetimestabilityanalysisofswitchedgeneticregulatorynetworkswithtimevaryingdelaysviawirtingersintegralinequality AT grienggrairajchakit finitetimestabilityanalysisofswitchedgeneticregulatorynetworkswithtimevaryingdelaysviawirtingersintegralinequality AT bussakornhammachukiattikul finitetimestabilityanalysisofswitchedgeneticregulatorynetworkswithtimevaryingdelaysviawirtingersintegralinequality AT bandanapriya finitetimestabilityanalysisofswitchedgeneticregulatorynetworkswithtimevaryingdelaysviawirtingersintegralinequality AT ganeshkumarthakur finitetimestabilityanalysisofswitchedgeneticregulatorynetworkswithtimevaryingdelaysviawirtingersintegralinequality |