Stability analysis for singular random impulsive control system: A novel neutral impulsive delay system approach

被引：2
作者：
Senthilkumar, T. [1 ]
Vinodkumar, A. [2 ]
机构：
[1] Amrita Vishwa Vidyapeetham, Amrita Sch Phys Sci, Dept Math, Kochi, India
[2] Amrita Vishwa Vidyapeetham, Amrita Sch Phys Sci, Dept Math, Coimbatore, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 13期
关键词：
Lyapunov-Krasovskii functional; random impulsive control; singular time varying delay systems; stability analysis; FINITE-TIME STABILITY; H-INFINITY-CONTROL; ROBUST STABILITY; NEURAL-NETWORKS; STABILIZATION; DISCRETE;
D O I：
10.1002/mma.9314
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper studies stability analysis for an uncertain singular time varying delay system (USTDS) under random impulsive control (RIC). It also proves the stability results for a singular impulsive time delay system in terms of neutral impulsive time delay system approach. Besides, we derive the new sufficient conditions for stability results like exponential stability (ES) and robust exponential stability (RES) of the proposed system via linear matrix inequality (LMI) by employing the Lyapunov-Krasovskii functional (LKF) approach. In addition, two numerical examples, along with graphical simulations, are provided to illustrate the validity and effectiveness of the proposed results.
引用
收藏
页码：14200 / 14213
页数：14
相关论文
共 46 条
[1]   Exponential stability for differential equations with random impulses at random times [J].
Agarwal, Ravi ;
Hristova, Snezhana ;
O'Regan, Donal .
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[2]  
[Anonymous], 2003, CONTROL ENGN SER BIR
[3]  
Boukas EK, 2008, COMMUN CONTROL ENG, P1
[4]  
Boyd S., 1994, LINEAR MATRIX INEQUA, DOI DOI 10.1137/1.9781611970777
[5]   Impulsive stabilization of a class of singular systems with time-delays [J].
Chen, Wu-Hua ;
Zheng, Wei Xing ;
Lu, Xiaomei .
AUTOMATICA, 2017, 83 :28-36
[6]   H∞ control of linear singular time-delay systems subject to impulsive perturbations [J].
Chen, Wu-Hua ;
Jiang, Renhong ;
Lu, Xiaomei ;
Zheng, Wei Xing .
IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (03) :420-428
[7]   Robust stability and H∞-control of uncertain impulsive systems with time-delay [J].
Chen, Wu-Hua ;
Zheng, Wei Xing .
AUTOMATICA, 2009, 45 (01) :109-117
[8]   Event-triggered H-infinity stabilization for singular systems with state delay [J].
Du, Zhaoping ;
Hu, Songlin ;
Li, Jianzhen .
ASIAN JOURNAL OF CONTROL, 2021, 23 (02) :835-846
[9]   Robust stabilization of singular-impulsive-delayed systems with nonlinear perturbations [J].
Guan, ZH ;
Chan, CW ;
Leung, AYT ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (08) :1011-1019
[10]   Robust sliding mode control for uncertain discrete singular systems with time-varying delays [J].
Han, Yueqiao ;
Kao, Yonggui ;
Gao, Cunchen ;
Jiang, Baoping .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (04) :818-827
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