Stability Analysis of Linear Time-Invariant Distributed-Order Systems

被引：10
作者：
Jiao, Zhuang [1 ]
Chen, YangQuan [2 ]
Zhong, Yisheng [1 ,3 ]
机构：
[1] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
[2] Utah State Univ, ECE Dept, CSOIS, Logan, UT 84322 USA
[3] Tsinghua Univ, TNList, Beijing 100084, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 03期
关键词：
Bounded-input bounded-output stability; distributed-order LTI system; weighting function; time-domain response; DIFFUSION; IDENTIFICATION;
D O I：
10.1002/asjc.578
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The bounded-input bounded-output stability condition of a linear time invariant (LTI) distributed-order system over integral interval (0,1) has been established for the first time. Two cases about weighting function of the distributed order are investigated, and sufficient and necessary conditions of stability for these two types of distributed-order systems are derived. Based on the complex integration analysis, time-domain responses of distributed-order systems are also given by analytical method, and numerical examples are presented to illustrate the proposed conditions.
引用
收藏
页码：640 / 647
页数：8
相关论文
共 49 条
  • [1] Identification of complex order-distributions
    Adams, J. L.
    Hartley, T. T.
    Lorenzo, C. F.
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2008, 14 (9-10) : 1375 - 1388
  • [2] Agrawal O, 2007, ADV FRACTIONAL CALCU
  • [3] [Anonymous], 1997, SYST ANAL MODELLING
  • [4] [Anonymous], 2006, THEORY APPL FRACTION, DOI DOI 10.1016/S0304-0208(06)80001-0
  • [5] [Anonymous], TEMAS VARIABLE COMPL
  • [6] [Anonymous], 1993, INTRO FRACTIONAL CA
  • [7] [Anonymous], 1999, FRACTIONAL DIFFERENT
  • [8] [Anonymous], SINGULARITIES LINEAR
  • [9] Asmar N., 2002, Applied Complex Analysis with Partial Differential Equations
  • [10] On a nonlinear distributed order fractional differential equation
    Atanackovic, Teodor M.
    Oparnica, Ljubica
    Pihpovic, Stevan
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 590 - 608
12345