Stabilisation of second-order bilinear and semilinear systems

被引:2
|
作者
Ezzaki, Lahcen [1 ]
Zerrik, El Hassan [2 ]
机构
[1] Ibn Zohr Univ, Higher Sch Educ & Training ESEF, Agadir, Morocco
[2] Moulay Ismail Univ, Fac Sci, MACS Lab, Meknes, Morocco
关键词
Second-order systems; bilinear systems; semilinear systems; stabilisation;
D O I
10.1080/00207179.2020.1770335
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we deal with stabilisation for a class of second-order systems. We establish several results concerning stabilisation of bilinear systems and we give sufficient conditions for exponential and strong stabilisation of semilinear second-order systems. The obtained results are illustrated by many examples and simulations.
引用
收藏
页码:3483 / 3490
页数:8
相关论文
共 50 条
  • [31] LYAPUNOV METHOD FOR STABILITY OF DESCRIPTOR SECOND-ORDER AND HIGH-ORDER SYSTEMS
    Zhang, Guoshan
    Yu, Peizhao
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2018, 14 (02) : 673 - 686
  • [32] Consensus Switching of Second-Order Multiagent Systems With Time Delay
    Ma, Qian
    Xu, Shengyuan
    IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (05) : 3349 - 3353
  • [33] Distributed optimal resource allocation of second-order multiagent systems
    Deng, Zhenhua
    Liang, Shu
    Yu, Weiyong
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (14) : 4246 - 4260
  • [34] Order reduction of large scale second-order systems using Krylov subspace methods
    Salimbahrami, B
    Lohmann, B
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 415 (2-3) : 385 - 405
  • [35] Overshoot and settling time assignment with PID for first-order and second-order systems
    Nam Hoai Nguyen
    Phuoc Doan Nguyen
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (17) : 2407 - 2416
  • [36] Minimum-phase infinite-dimensional second-order systems
    Jacob, Birgit
    Morris, Kirsten
    Trunk, Carsten
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (09) : 1654 - 1665
  • [37] Eigenstructure Assignment by Displacement-Acceleration Feedback for Second-Order Systems
    Abdelaziz, Taha H. S.
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2016, 138 (06):
  • [38] Existence and multiplicity of periodic solutions for some second-order Hamiltonian systems
    Suo, Hongmin
    Di, Lan
    An, Yucheng
    Chu, Changmu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [39] An improved numerical method for balanced truncation for symmetric second-order systems
    Benner, Peter
    Kuerschner, Patrick
    Saak, Jens
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2013, 19 (06) : 593 - 615
  • [40] Variable Structure Predefined-Time Stabilization of Second-Order Systems
    Jimenez-Rodriguez, Esteban
    Diego Sanchez-Torres, Juan
    Gomez-Gutierrez, David
    Loukinanov, Alexander G.
    ASIAN JOURNAL OF CONTROL, 2019, 21 (03) : 1179 - 1188