A Nonlinear Identification Problem

被引：0
|
作者：
Nikol'skii, M. S. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2018年 / 301卷
基金：
俄罗斯基础研究基金会;
关键词：
identification; dynamic systems; inverse problems;
D O I：
10.1134/S0081543818050103
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a nonlinear dynamic system with an unknown vector parameter in its description. An observer can calculate the phase vector of this system on the interval [0, T] with an error not exceeding a small number h > 0 in absolute value. This information on the dynamics of the system should be used to find the unknown vector. We obtain constructive sufficient conditions under which it is possible to restore the unknown vector with decreasing error as the value of h tends to zero. It turns out that one can use only discrete measurements of the output of the system.
引用
收藏
页码：S132 / S136
页数：5
相关论文
共 50 条
  • [1] A Nonlinear Identification Problem
    M. S. Nikol’skii
    [J]. Proceedings of the Steklov Institute of Mathematics, 2018, 301 : 132 - 136
  • [2] An Identification Problem For Nonlinear Schrodinger Equation
    Aksoy, Nigar Yildirim
    Yagub, Gabil
    Aksoy, Eray
    [J]. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [3] An identification problem for a nonlinear Schrodinger equation
    Yagubov, GY
    Musaeva, MA
    [J]. DIFFERENTIAL EQUATIONS, 1997, 33 (12) : 1695 - 1702
  • [4] Identification Problem for Nonlinear Gao Beam
    Radova, Jana
    Machalova, Jitka
    Burkotova, Jana
    [J]. MATHEMATICS, 2020, 8 (11) : 1 - 16
  • [5] Nonlinear optimisation and the asteroid identification problem
    Sansaturio, ME
    Milani, A
    Cattaneo, L
    [J]. DYNAMICS, EPHEMERIDES AND ASTROMETRY OF THE SOLAR SYSTEM, 1996, (172): : 193 - 198
  • [6] Identification of a nonlinear model for a glucoregulatory benchmark problem
    Vanbeylen, Laurent
    Van Mulders, Anne
    Abu-Rmileh, Amjad
    [J]. BIOMEDICAL SIGNAL PROCESSING AND CONTROL, 2014, 13 : 168 - 173
  • [7] IDENTIFICATION PROBLEM FOR NONLINEAR SCHRODINGER TYPE EQUATION
    Musayeva, M. A.
    Hashimov, S. A.
    [J]. TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 14 (02): : 162 - 177
  • [8] Identification of material degradation for nonlinear electromagnetic problem
    Kojima, F
    Ara, K
    Takahashi, S
    [J]. ELECTROMAGNETIC NONDESTRUCTIVE EVALUATION (VIII), 2004, 24 : 85 - 92
  • [9] Benchmark Problem for Nonlinear Identification of Automotive Engine
    Ohata, Akira
    [J]. PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 3305 - 3310
  • [10] A linear regularization method for a nonlinear parameter identification problem
    Nair, M. Thamban
    Das Roy, Samprita
    [J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2017, 25 (06): : 687 - 701
12345