Multilinear Volterra equations of the first kind and some problems of control

被引:11
|
作者
Apartsin, A. S. [1 ]
机构
[1] Russian Acad Sci, Melentev Inst Power Engn Syst, Siberian Branch, Irkutsk 664003, Russia
关键词
02.30.Rz;
D O I
10.1134/S0005117908040012
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Elements of the theory of the multilinear Volterra equations of the first kind relying on the notion of corresponding majorant (integral, differential, functional) equations were set forth. The relation between the simplest majorant equations and special problems of dynamic system control was demonstrated.
引用
收藏
页码:545 / 558
页数:14
相关论文
共 50 条
  • [1] Multilinear Volterra equations of the first kind and some problems of control
    A. S. Apartsin
    [J]. Automation and Remote Control, 2008, 69 : 545 - 558
  • [2] Multilinear Volterra equations of the first kind
    Apartsyn, AS
    [J]. AUTOMATION AND REMOTE CONTROL, 2004, 65 (02) : 263 - 269
  • [3] Multilinear Volterra Equations of the First Kind
    A. S. Apartsyn
    [J]. Automation and Remote Control, 2004, 65 : 263 - 269
  • [4] Optimal Control of Volterra Difference Equations of the First Kind
    Alharthi, Mohammed
    Hughes, Tim
    Mueller, Markus
    [J]. 2022 UKACC 13TH INTERNATIONAL CONFERENCE ON CONTROL (CONTROL), 2022, : 171 - 176
  • [5] Numerical Solution of Some Nonlinear Volterra Integral Equations of the First Kind
    Saeedi, Leila
    Tari, Abolfazl
    Masuleh, Sayyed Hodjatollah Momeni
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2013, 8 (01): : 214 - 226
  • [6] APPROXIMATE SOLUTION OF SOME VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND.
    Magnitskii, N.A.
    [J]. Moscow University Computational Mathematics and Cybernetics (English Translation of Vestnik Moskovskogo Universiteta. Seriya XV:Vychislitel'naya Matematika i Kibernetika), 1978, (01): : 74 - 78
  • [7] INTEGRAL EQUATIONS OF FIRST KIND IN SOME PROBLEMS OF ELECTRODYNAMICS
    VASILEV, EN
    MALUSHKO.GD
    FALUNIN, AA
    [J]. SOVIET PHYSICS TECHNICAL PHYSICS-USSR, 1967, 12 (03): : 303 - &
  • [8] Recursive deconvolution of first kind Volterra equations
    Fagnani, F
    Pandolfi, L
    [J]. PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 2927 - 2928
  • [9] On Some Linear Two-Dimensional Volterra Integral Equations of the First Kind
    Solodusha, S.V.
    [J]. Journal of Applied and Industrial Mathematics, 2024, 18 (02) : 344 - 351
  • [10] Haar wavelet method for some nonlinear Volterra integral equations of the first kind
    Singh, Inderdeep
    Kumar, Sheo
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 292 : 541 - 552