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.

引用

页数：21

共 58 条

[1] Ali MS, 2018, NEURAL COMPUT APPL, V29, P975, DOI 10.1007/s00521-016-2498-y
[2] Finite-time stability for memristor based uncertain neural networks with time-varying delays- via average dwell time approach
Ali, M. Syed
Saravanan, S.
[J]. CHINESE JOURNAL OF PHYSICS, 2017, 55 (05) : 1953 - 1971
[3] Sampled-Data Stabilization for Fuzzy Genetic Regulatory Networks with Leakage Delays
Ali, M. Syed
Gunasekaran, N.
Ahn, Choon Ki
Shi, Peng
[J]. IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 2018, 15 (01) : 271 - 285
[4] Robust finite-time H∞ control for a class of uncertain switched neural networks of neutral-type with distributed time varying delays
Ali, M. Syed
Saravanan, S.
[J]. NEUROCOMPUTING, 2016, 177 : 454 - 468
[5] Finite-time filtering for switched linear systems with a mode-dependent average dwell time
Cheng, Jun
Zhu, Hong
Zhong, Shouming
Zheng, Fengxia
Zeng, Yong
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 15 : 145 - 156
[6] Modeling and simulation of genetic regulatory systems: A literature review
De Jong, H
[J]. JOURNAL OF COMPUTATIONAL BIOLOGY, 2002, 9 (01) : 67 - 103
[7] New Results on Stability Analysis of Uncertain Neutral-Type Lur'e Systems Derived from a Modified Lyapunov-Krasovskii Functional
Duan, Wenyong
Li, Yan
Chen, Jian
Jiang, Lin
[J]. COMPLEXITY, 2019, 2019
[8] Finite-time state observer for delayed reaction-diffusion genetic regulatory networks
Fan, Xiaofei
Xue, Yu
Zhang, Xian
Ma, Jing
[J]. NEUROCOMPUTING, 2017, 227 : 18 - 28
[9] Gu K., 2003, CONTROL ENGN SER BIR
[10] Robust stabilization and H∞ controllers design for stochastic genetic regulatory networks with time-varying delays and structured uncertainties
He, Yong
Zeng, Jin
Wu, Min
Zhang, Chuan-Ke
[J]. MATHEMATICAL BIOSCIENCES, 2012, 236 (01) : 53 - 63

← 1 2 3 4 5 6 →