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
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 07期
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
  • [21] On the asymptotics of integral manifolds of singularly perturbed systems with delay
    Cherevko I.M.
    Ukrainian Mathematical Journal, 1999, 51 (8) : 1246 - 1254
  • [22] Adaptive integral control of time-delay systems
    Logemann, H
    Townley, S
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1997, 144 (06): : 531 - 536
  • [23] Necessary and sufficient stability conditions for integral delay systems
    Ortiz, Reynaldo
    Egorov, Alexey
    Mondie, Sabine
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (06) : 3152 - 3174
  • [24] Integral inequality for time-varying delay systems
    Seuret, Alexandre
    Gouaisbaut, Frederic
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 3366 - 3371
  • [25] Numerical Computation of Lyapunov Matrices for Integral Delay Systems
    Arismendi-Valle, Hector
    Melchor-Aguilar, Daniel
    IFAC PAPERSONLINE, 2017, 50 (01): : 13342 - 13347
  • [26] Averaging of oscillation systems with delay and integral boundary conditions
    Bigun Ya.I.
    Ukrainian Mathematical Journal, 2004, 56 (2) : 318 - 326
  • [27] Integral parameters in source-driven systems
    Dulla, Sandra
    Picca, Paolo
    Ravetto, Piero
    Tomatis, Daniele
    Carta, Mario
    PROGRESS IN NUCLEAR ENERGY, 2011, 53 (01) : 32 - 40
  • [28] The use of integral parameters in satellite navigation systems
    Sylvestrov, SD
    Alekseev, OA
    Betanov, VV
    2ND INTERNATIONAL CONFERENCE ON SATELLITE COMMUNICATIONS - PROCEEDINGS OF ICSC '96, VOLS 1-4, 1996, : 223 - 226
  • [29] Stability of Stochastic Differential Delay Systems With Integral/Fragment-Integral Term and Applications
    Hou, Xuping
    Zong, Xiaofeng
    Mu, Junqi
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2025, 35 (04) : 1526 - 1538
  • [30] Optimal Systems with Delay Times and Parameters.
    Lunderstaedt, R.
    Regelungstechnik, 1975, 23 (02): : 57 - 58
12345