Effective solution of the problem of the optimal stability polynomial

被引：5
|
作者：
Bogatyrëv, AB [1 ]
机构：
[1] Moscow Inst Phys & Technol, RAS, Inst Numerical Math, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2005年 / 196卷 / 7-8期
关键词：
D O I：
10.1070/SM2005v196n07ABEH000944
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An effective method for finding the polynomial approximating the exponential function with order 3 at the origin and deviating from 0 by at most 1 on the longest interval of the real axis is put forward. This problem is reduced to the solution of four equations on a 4-dimensional moduli space of algebraic curves. A numerical realization of this method using summation of linear Poincare series is described.
引用
收藏
页码：959 / 981
页数：23
相关论文
共 50 条
  • [1] Stability of the Optimal Control Problem Solution
    Diveev, Askhat
    Shmalko, Elizaveta
    2022 8TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT'22), 2022, : 33 - 38
  • [2] Stability of Optimal Solution in Portfolio Selection Problem
    Kopa, Milos
    PROCEEDINGS OF THE 21ST INTERNATIONAL CONFERENCE MATHEMATICAL METHODS IN ECONOMICS 2003, 2003, : 166 - 170
  • [3] On an effective solution of the optimal stopping problem for random walks
    Novikov, AA
    Shiryaev, AN
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2004, 49 (02) : 344 - 354
  • [4] THE STANDARD H-2-OPTIMAL CONTROL PROBLEM - A POLYNOMIAL SOLUTION
    HUNT, KJ
    KUCERA, V
    INTERNATIONAL JOURNAL OF CONTROL, 1992, 56 (01) : 245 - 251
  • [5] GENERAL POLYNOMIAL SOLUTION TO THE OPTIMAL FEEDBACK FEEDFORWARD STOCHASTIC TRACKING PROBLEM
    HUNT, KJ
    INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (03) : 1057 - 1073
  • [6] On the stability of the solution in an optimal control problem for a Schrodinger equation
    Subasi, Murat
    Durur, Hulya
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 : 521 - 526
  • [7] Sliding Mode Regulator as Solution to Optimal Control Problem for Nonlinear Polynomial Systems
    Basin, Michael
    Calderon-Alvarez, Dario
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 83 - 88
  • [8] Polynomial Chaos Explicit Solution of the Optimal Control Problem in Model Predictive Control
    Lefebvre, T.
    De Belie, F.
    Crevecoeur, G.
    2017 IEEE INTERNATIONAL CONFERENCE ON ADVANCED INTELLIGENT MECHATRONICS (AIM), 2017, : 1762 - 1767
  • [9] POLYNOMIAL SOLUTION OF THE STANDARD MULTIVARIABLE H2-OPTIMAL CONTROL PROBLEM
    HUNT, KJ
    SEBEK, M
    KUCERA, V
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (07) : 1502 - 1507
  • [10] Solution of the polynomial moment problem
    Pakovich, F.
    Muzychuk, M.
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2009, 99 : 633 - 657
12345