Sufficient Conditions for Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems

被引：107
|
作者：
Amato, Francesco [1 ]
Cosentino, Carlo [1 ]
Merola, Alessio [1 ]
机构：
[1] Magna Graecia Univ Catanzaro, Sch Comp & Biomed Engn, I-88100 Catanzaro, Italy
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 02期
关键词：
Finite time stability (FTS); nonlinear quadratic systems;
D O I：
10.1109/TAC.2009.2036312
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 the finite-time stability problem for quadratic systems. Such class of systems plays an important role in the modeling of a wide class of nonlinear processes (electrical, robotic, biological, etc.). The main results of the paper consist of two sufficient conditions for finite-time stability analysis and finite-time stabilization via static state feedback; both conditions are given in terms of the feasibility of a convex optimization problem, involving linear matrix inequalities. A numerical example illustrates the applicability of the proposed technique.
引用
收藏
页码：430 / 434
页数：5
相关论文
共 50 条
  • [1] Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems with Jumps
    Zhang, Minsong
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [2] Sufficient Conditions for Finite-Time Stability of Impulsive Dynamical Systems
    Ambrosino, Roberto
    Calabrese, Francesco
    Cosentino, Carlo
    De Tommasi, Gianmaria
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (04) : 861 - 865
  • [3] Necessary and sufficient conditions for Finite-Time Stability of linear systems
    Amato, F
    Ariola, M
    Cosentino, C
    Abdallah, CT
    Dorato, P
    [J]. PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 4452 - 4456
  • [4] Finite-Time Boundedness and Stabilization of Discrete-Time Nonlinear Quadratic Systems
    Wei, Yunliang
    Zheng, Wei Xing
    [J]. 2013 3RD AUSTRALIAN CONTROL CONFERENCE (AUCC), 2013, : 158 - 163
  • [5] A finite-time stability concept and conditions for finite-time and exponential stability of controlled nonlinear systems
    Costa, Eduardo F.
    do Val, Joao B. R.
    [J]. 2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 2309 - +
  • [6] Finite-time stability and stabilization of nonlinear stochastic hybrid systems
    Yang, Ying
    Li, Junmin
    Chen, Guopei
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) : 338 - 345
  • [7] On finite-time stability and stabilization of nonlinear hybrid dynamical systems
    Lee, Junsoo
    Haddad, Wassim M.
    [J]. AIMS MATHEMATICS, 2021, 6 (06): : 5535 - 5562
  • [8] Finite-time stabilization of nonlinear quadratic systems by a non linear state feedback
    Bhiri, B.
    Delattre, C.
    Zasadzinski, M.
    Abderrahim, K.
    [J]. 2016 EUROPEAN CONTROL CONFERENCE (ECC), 2016, : 581 - 586
  • [9] Some Results on Finite-Time Stabilization of Markovian Jump Nonlinear Quadratic Systems
    Wei Yunliang
    Zheng Wei Xing
    [J]. 2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 2299 - 2304
  • [10] FINITE-TIME STABILITY AND STABILIZATION OF A CLASS OF NONLINEAR TIME-DELAY SYSTEMS
    Yang, Renming
    Wang, Yuzhen
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (05) : 3113 - 3131
12345