Finite-time stability of non-linear systems with impulsive effects due to logic choice

被引：14
作者：
Zhang, Junhui [1 ]
Sun, Jitao [1 ,2 ]
Wang, Qing-Guo [2 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
[2] Univ Johannesburg, Inst Intelligent Syst, Fac Engn & Built Environm, Johannesburg, South Africa
来源：
IET CONTROL THEORY AND APPLICATIONS | 2018年 / 12卷 / 11期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
tensors; nonlinear control systems; stability; finite-time stability; nonlinear systems; impulsive effects; logic choice; logic-induced impulses; semitensor product technique; LINEAR-SYSTEMS; DIFFERENTIAL-SYSTEMS; BOOLEAN NETWORKS; DELAYED IMPULSES; STABILIZATION;
D O I：
10.1049/iet-cta.2017.0886
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This study is concerned with the finite-time stability of non-linear systems with impulsive effects due to logic choice. Firstly, we introduce a class of non-linear systems with logic-induced impulses and it generalises the model established in Suo and Sun (2015). Then, based on semi-tensor product technique, several criteria for finite-time stability for the system are given. Finally, two numerical examples are provided to illustrate authors' results.
引用
收藏
页码：1644 / 1648
页数：5
相关论文
共 36 条
  • [1] Exponential stabilisation of impulsive switched linear systems via a periodic switching scheme
    Ai, Zidong
    Peng, Lianghong
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (16) : 2921 - 2926
  • [2] Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems
    Amato, F.
    De Tommasi, G.
    Pironti, A.
    [J]. AUTOMATICA, 2013, 49 (08) : 2546 - 2550
  • [3] Amato F., 2014, CONTROLLER DESIGN FI
  • [4] Finite-time stability of linear time-varying systems with jumps
    Amato, Francesco
    Ambrosino, Roberto
    Ariola, Marco
    Cosentino, Carlo
    [J]. AUTOMATICA, 2009, 45 (05) : 1354 - 1358
  • [5] Stabilization, Controllability and Optimal Control of Boolean Networks With Impulsive Effects and State Constraints
    Chen, Hao
    Li, Xingde
    Sun, Jitao
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (03) : 806 - 811
  • [6] A Linear Representation of Dynamics of Boolean Networks
    Cheng, Daizhan
    Qi, Hongsheng
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) : 2251 - 2258
  • [7] Cheng DH, 2011, COMMUN CONTROL ENG, P1, DOI 10.1007/978-0-85729-097-7
  • [8] Optimal control of constrained piecewise affine systems
    Christophersen, Frank J.
    [J]. Lecture Notes in Control and Information Sciences, 2007, 359 : 1 - 203
  • [9] Dadras S., 2017, ASME 2017 INT DES EN
  • [10] Dorato P., 1961, Short-time stability in linear time-varying systems
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