Stability criteria for a class of fractional order systems

被引：17
|
作者：
Kheirizad, Iraj [1 ]
Tavazoei, Mohammad Saleh [2 ]
Jalali, Ali Akbar [1 ]
机构：
[1] Iran Univ Sci & Technol, Dept Elect Engn, Tehran, Iran
[2] Sharif Univ Technol, Dept Elect Engn, Tehran, Iran
来源：
NONLINEAR DYNAMICS | 2010年 / 61卷 / 1-2期
关键词：
Fractional order system; Stability; Stabilization; DELAY SYSTEMS; STABILIZATION; ALGORITHM; POINTS;
D O I：
10.1007/s11071-009-9638-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper deals with the stability problem in LTI fractional order systems having fractional orders between 1 and 1.5. Some sufficient algebraic conditions to guarantee the BIBO stability in such systems are obtained. The obtained conditions directly depend on the coefficients of the system equations, and consequently using them is easier than the use of conditions constructed based on solving the characteristic equation of the system. Some illustrations are presented to show the applicability of the obtained conditions. For example, it is shown that these conditions may be useful in stabilization of unstable fractional order systems or in taming fractional order chaotic systems.
引用
收藏
页码：153 / 161
页数：9
相关论文
共 50 条
  • [21] Comments on "Stability Analysis of a Class of Nonlinear Fractional-Order Systems"
    Tavazoei, Mohammad Saleh
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (06) : 519 - 520
  • [22] Robust stability analysis for a class of fractional order systems with uncertain parameters
    Liao, Zeng
    Peng, Cheng
    Li, Wang
    Wang, Yong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (06): : 1101 - 1113
  • [23] Fractional Order Stability of Systems
    Senol, Bilal
    Matusu, Radek
    Gul, Emine
    2017 INTERNATIONAL ARTIFICIAL INTELLIGENCE AND DATA PROCESSING SYMPOSIUM (IDAP), 2017,
  • [24] Stability of Fractional Order Systems
    Rivero, Margarita
    Rogosin, Sergei V.
    Tenreiro Machado, Jose A.
    Trujillo, Juan J.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [25] Stability analysis of a class of fractional order nonlinear systems with order lying in (0,2)
    Zhang, Ruoxun
    Tian, Gang
    Yang, Shiping
    Cao, Hefei
    ISA TRANSACTIONS, 2015, 56 : 102 - 110
  • [26] Analytical stability bound for a class of delayed fractional-order dynamic systems
    Chen, YQ
    Moore, KL
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 1421 - 1426
  • [27] Stability and Stabilization of a Class of Nonlinear Fractional-Order Systems With Caputo Derivative
    Chen, Liping
    Chai, Yi
    Wu, Ranchao
    Yang, Jing
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2012, 59 (09) : 602 - 606
  • [28] New results on stability and stabilization of a class of nonlinear fractional-order systems
    Chen, Liping
    He, Yigang
    Chai, Yi
    Wu, Ranchao
    NONLINEAR DYNAMICS, 2014, 75 (04) : 633 - 641
  • [29] New results on stability and stabilization of a class of nonlinear fractional-order systems
    Liping Chen
    Yigang He
    Yi Chai
    Ranchao Wu
    Nonlinear Dynamics, 2014, 75 : 633 - 641
  • [30] Analytical stability bound for a class of delayed fractional-order dynamic systems
    Chen, YQ
    Moore, KL
    NONLINEAR DYNAMICS, 2002, 29 (1-4) : 191 - 200
12345