Improved results on reachable set estimation for singularly perturbed systems with time-varying delay

被引：1
|
作者：
Wang, Jiawang [1 ]
Zhang, Liang [1 ]
Zhao, Xudong [2 ]
Zhao, Ning [1 ]
机构：
[1] Bohai Univ, Coll Engn, Jinzhou 121013, Liaoning, Peoples R China
[2] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Liaoning, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2024年 / 361卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Singularly perturbed systems; Linear matrix inequalities; Time-varying delay; Reachable set; SLIDING-MODE CONTROL; H-INFINITY CONTROL; STABILITY;
D O I：
10.1016/j.jfranklin.2023.11.040
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of reachable set estimation for singularly perturbed systems with time-varying delays and bounded perturbation is studied in this paper. Firstly, a Lyapunov-Krasovskii function related to the perturbed parameter ������ is established. Secondly, introducing a method of integral inequality scaling and eliminated the influence of singularly perturbed parameter on the system within a certain range. The system state is therefore contained in a ������-independent ellipsoid in accordance with a criterion imposed by linear matrix inequalities. Subsequently, examples are used to show that the findings are valid.
引用
收藏
页码：125 / 134
页数：10
相关论文
共 50 条
  • [21] Reachable Set Estimation for Singular Discrete-Time Nonlinear Systems With Time-Varying Delays
    Vu, Le Huy
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2025, 35 (03) : 843 - 857
  • [22] Relaxed results on reachable set estimation of time-delay systems with bounded peak inputs
    Zhang, Baoyong
    Lam, James
    Xu, Shengyuan
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (09) : 1994 - 2007
  • [23] Delay-partitioning-based reachable set estimation of Markovian jump neural networks with time-varying delay
    Jiang, Xiangli
    Xia, Guihua
    Feng, Zhiguang
    Zheng, Wei Xing
    Jiang, Zhengyi
    NEUROCOMPUTING, 2020, 412 : 360 - 371
  • [24] Observer for Singularly Perturbed Switched Linear Time-Varying Systems
    Ayati, Moosa
    Alwan, Mohamad
    Liu, Xinzhi
    Khaloozadeh, Hamid
    ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY, 2011, 1368
  • [25] Further results on finite-time stabilisation for stochastic Markovian jump systems with time-varying delay
    Qi, Wenhai
    Kao, Yonggui
    Gao, Xianwen
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (14) : 2967 - 2975
  • [26] Improved Results on Reachable Set Estimation of Linear Systems
    Zhao, Jiemei
    Hu, Zhonghui
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (05) : 1141 - 1148
  • [27] Reachable set bounding for discrete-time nonlinear positive systems with time-varying delay and disturbance
    Zhu, Xingao
    Liu, Shutang
    Sun, Yuangong
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (10) : 6205 - 6215
  • [28] FAULT ESTIMATION AND OPTIMIZATION FOR UNCERTAIN DISTURBED SINGULARLY PERTURBED SYSTEMS WITH TIME-DELAY
    Liu, Lei
    Lu, Shaoying
    Han, Cunwu
    Li, Chao
    Feng, Zejin
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2020, 10 (03): : 367 - 379
  • [29] Triple integral approach to reachable set bounding for linear singular systems with time-varying delay
    Kang, Wei
    Zhong, Shouming
    Shi, Kaibo
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (08) : 2949 - 2960
  • [30] Delay-Dependent Passivity and Passification for Uncertain Singularly Perturbed Markovian Jump Systems with Time-Varying Delay
    Yueying Wang
    Quanbao Wang
    Pingfang Zhou
    Dengping Duan
    Circuits, Systems, and Signal Processing, 2012, 31 : 2179 - 2194
12345