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

被引：15
|
作者：
Saravanan, Shanmugam [1 ]
Ali, M. Syed [2 ]
Rajchakit, Grienggrai [1 ,3 ]
Hammachukiattikul, Bussakorn [2 ,4 ]
Priya, Bandana [5 ]
Thakur, Ganesh Kumar [6 ]
机构：
[1] Pusan Natl Univ, Sch Mech Engn, Busan 46241, South Korea
[2] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India
[3] Maejo Univ, Fac Sci, Dept Math, Chiang Mai 50290, Sansai, Thailand
[4] Thai Nichi Inst Technol, Fac Engn, Basic Sci & Math, Bangkok 10250, Thailand
[5] Krishna Engn Coll, Dept Appl Sci, Ghaziabad 201007, Uttar Pradesh, India
[6] GL Bajaj Inst Technol & Management, Dept Appl Sci, Greater Noida, Uttar Pradesh, India
来源：
COMPLEXITY | 2021年 / 2021卷
关键词：
H-INFINITY CONTROL; ROBUST STABILITY; NEURAL-NETWORKS; EXPONENTIAL STABILITY; STOCHASTIC STABILITY; L-2-GAIN ANALYSIS; STATE ESTIMATION; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1155/2021/9540548
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：21
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