Critical parameters of integral delay systems

被引:12
|
作者
Ochoa, Gilberto [1 ]
Melchor-Aguilar, Daniel [2 ]
Mondie, Sabine [3 ]
机构
[1] UPVM, Div Mecan Elect, Tultitlan, Edo De Mexico, Mexico
[2] IPICYT, Div Appl Math, San Luis Potosi, Mexico
[3] CINVESTAV, Dept Control Automat, Mexico City 14000, DF, Mexico
关键词
integral delay systems; critical parameters; Lyapunov matrix; STABILITY;
D O I
10.1002/rnc.3132
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 critical frequencies of integral delay systems with a class of analytic kernels are determined via an auxiliary delay-free system, and an upper bound on the number of critical frequencies is obtained. The critical delays are obtained by substituting these frequencies into the characteristic equation of the system. The procedure is validated with a number of nontrivial examples. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码:1094 / 1105
页数:12
相关论文
共 50 条
  • [31] A convolution approach for parameters and delay systems identification
    Belkoura, Lotfi
    Tian, Yang
    CONTROL ENGINEERING AND APPLIED INFORMATICS, 2016, 18 (03): : 14 - 21
  • [32] An Integral and MRAC-Based Approach to the Adaptive Stabilisation of a Class of Linear Time-Delay Systems with Unknown Parameters
    Jeronimo, Luis Felipe Ramirez
    Saldivar, Belem
    Aguilar-Ibanez, Carlos
    Acosta, Jose Angel
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2024, 34 (01) : 81 - 91
  • [33] An integral inequality in the stability problem of time-delay systems
    Gu, KQ
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2805 - 2810
  • [34] Multiple integral inequalities and stability analysis of time delay systems
    Gyurkovics, E.
    Takacs, T.
    SYSTEMS & CONTROL LETTERS, 2016, 96 : 72 - 80
  • [35] Generalized integral inequality: Application to time-delay systems
    Park, M. J.
    Kwon, O. M.
    Ryu, J. H.
    APPLIED MATHEMATICS LETTERS, 2018, 77 : 6 - 12
  • [36] On the Lyapunov Matrix for Integral Delay Systems with a Class of General Kernel
    Ortiz, Reynaldo
    Mondie, Sabine
    IFAC PAPERSONLINE, 2019, 52 (18): : 91 - 96
  • [37] Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel
    Ortiz, Reynaldo
    Egorov, Alexey
    Mondie, Sabine
    IFAC PAPERSONLINE, 2022, 55 (36): : 186 - 191
  • [38] On moment exponential stability of Markovian switching integral delay systems
    Zhang, Qianqian
    Li, Zhao-Yan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (16): : 8534 - 8555
  • [39] On moment exponential stability of Markovian switching integral delay systems
    Zhang, Qianqian
    Li, Zhao-Yan
    Journal of the Franklin Institute, 2021, 358 (16) : 8534 - 8555
  • [40] Generalization of integral constraints on sensitivity to time-delay systems
    Gomez, GI
    Goodwin, GC
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (07) : 1008 - 1012