Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality

Author:

Saravanan Shanmugam1,Syed Ali M.2,Rajchakit Grienggrai31ORCID,Hammachukiattikul Bussakorn42ORCID,Priya Bandana5,Thakur Ganesh Kumar6

Affiliation:

1. School of Mechanical Engineering, Pusan National University, Busan 46241, Republic of Korea

2. Department of Mathematics, Thiruvalluvar University, Vellore 632 115, Tamilnadu, India

3. Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, Sansai, Thailand

4. Basic Sciences and Mathematics, Faculty of Engineering, Thai-Nichi Institute of Technology, Bangkok 10250, Thailand

5. Department of Applied Sciences, Krishna Engineering College, Ghaziabad 201007, Uttar Pradesh, India

6. Department of Applied Science, GL Bajaj Institute of Technology and Management, Greater Noida, Uttar Pradesh, India

Abstract

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.

Funder

Thai-Nichi Institute of Technology

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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