Exponential stability for nonlinear fractional order sampled-data control systems with its applications *

被引:9
|
作者
Huang, Conggui [1 ]
Wang, Fei [2 ]
Zheng, Zhaowen [2 ]
机构
[1] Wuxi Inst Technol, Sch Internet Things Technol, Wuxi 214121, Jiangsu, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
Fractional order; Nonlinear system; Sampled-data control; Stabilization; Synchronization; MULTIAGENT SYSTEMS; NEURAL-NETWORKS; SYNCHRONIZATION; CONSENSUS; DYNAMICS;
D O I
10.1016/j.chaos.2021.111265
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper investigates some topics about fractional order nonlinear systems with sampled-data. First, according to comparison principle and Laplacian transform method, sufficient conditions are derived to guarantee that the fractional order sampled-data control systems are globally and exponentially stable. Then, based on the stability results above and some properties of fractional order integral and derivative, the sampled-data controller is designed for the fractional order neural networks. Furthermore, the synchronization criteria of fractional order dynamical networks with sampled-data communications are obtained based on matrix technique and above analysis methods. Finally, three numerical examples are provided to illustrate the effectiveness of the derived results. (c) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数:10
相关论文
共 50 条
  • [11] ON ABSOLUTE STABILITY OF NONLINEAR SAMPLED-DATA SYSTEMS
    JURY, EI
    LEE, BW
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1964, AC 9 (04) : 551 - &
  • [12] ON STABILITY CONDITION OF NONLINEAR SAMPLED-DATA SYSTEMS
    JURY, EI
    LEE, RW
    BUBNICKI, Z
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1965, AC10 (02) : 217 - &
  • [13] Stability analysis of nonlinear sampled-data systems
    Lawrence, DA
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 365 - 366
  • [14] Exponential stability of impulsive systems with random delays under sampled-data control
    Subramanian, Kuppusamy
    Muthukumar, Palanisamy
    Zhu, Quanxin
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (16): : 2834 - 2847
  • [15] Exponential stability of sampled-data control systems with enhanced average sampling interval
    Jin, Cui-Li
    Wang, Qing-Guo
    Wang, Rui
    INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (07) : 1744 - 1753
  • [18] On the stability of input-affine nonlinear systems with sampled-data control
    Omran, Hassan
    Hetel, Laurentiu
    Richard, Jean-Pierre
    Lamnabhi-Lagarrigue, Francoise
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 2585 - 2590
  • [19] On the exponential stability of nonlinear sampled-data systems with time-varying sampling periods
    Mancilla-Aguilar, JL
    García, RA
    PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 1290 - 1295
  • [20] Finite-Dimensional Sampled-Data Control of Fractional-Order Systems
    Li, Xinyao
    Wen, Changyun
    Liu, Xiao-Kang
    IEEE CONTROL SYSTEMS LETTERS, 2022, 6 : 181 - 186