Steady-state response of constant coefficient discrete-time differential systems

被引:2
|
作者
Ortigueira, Manuel D. [1 ]
Rivero, Margarita
Trujillo, Juan J.
机构
[1] UNL, UNINOVA, Campus FCT, P-2829516 Quinta Da Torre, Caparica, Portugal
关键词
Fractional differential equations; Constant coefficient; Particular solution; Eigenfunction; Transfer function;
D O I
10.1016/j.jksus.2015.02.006
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The problem of steady state output of the discrete-time fractional differential systems is studied in this paper. Based on the fact that the exponentials are the eigenfunctions of such systems, a general algorithm for the output computation when the input is the product "rising factorial. exponential" is presented. The singular case is studied and solved. (C) 2015 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.
引用
收藏
页码:29 / 32
页数:4
相关论文
共 50 条
  • [21] STEADY-STATE RESPONSE OF LINEAR TIME-INVARIANT SYSTEMS
    LIOU, ML
    PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1966, 54 (12): : 1952 - &
  • [22] Steady states in the scheduling of discrete-time systems
    Gavalec, M.
    Ponce, D.
    Zimmermann, K.
    INFORMATION SCIENCES, 2019, 481 : 219 - 228
  • [23] On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue
    Liu, Renbin
    Deng, Zhaohui
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [24] Steady-state queue size distribution of discrete-time PH/Geo/1 retrial queues
    Li, H
    Yang, T
    MATHEMATICAL AND COMPUTER MODELLING, 1999, 30 (3-4) : 51 - 63
  • [25] STEADY-STATE RESPONSE OF UNDAMPED SYSTEMS TO EXCITATIONS EXPRESSED AS POLYNOMIALS IN TIME
    LEUNG, AYT
    JOURNAL OF SOUND AND VIBRATION, 1986, 106 (01) : 145 - 151
  • [26] A frequency response identification method for discrete-time processes with cyclic steady state conditions
    Kim, Kyungsu
    Cheon, Yu Jin
    Lee, In-Beum
    Lee, Jietae
    Sung, Su Whan
    AUTOMATICA, 2014, 50 (12) : 3260 - 3267
  • [27] A Sufficient Condition for the Stability of Discrete-Time Systems With State-Dependent Coefficient Matrices
    Yuno, Tsuyoshi
    Ohtsuka, Toshiyuki
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (01) : 243 - 248
  • [28] A measure of coefficient quantization errors for linear discrete-time state-space systems
    Saito, S
    Kawamata, M
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2001, E84A (08): : 1815 - 1821
  • [29] Positive Realness of a Class of Uncertain Linear Discrete-time Systems with Constant State Delay
    Meng, Xianji
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4094 - 4099
  • [30] Steady-state response of systems with fractional dampers
    Lewandowski, R.
    Lenkowska, A.
    3RD INTERNATIONAL CONFERENCE ON INNOVATIVE MATERIALS, STRUCTURES AND TECHNOLOGIES (IMST 2017), 2017, 251