Matrix integro-differential Riccati equation for parabolic system

被引：0
|
作者：
Kopets, M.M. [1 ]
机构：
[1] National Technical University of Ukraine, Kiev Polytechnic Institute, Ukraine
来源：
Journal of Automation and Information Sciences | 2014年 / 46卷 / 01期
关键词：
Riccati equations - Integrodifferential equations - Matrix algebra - Partial differential equations;
D O I：
10.1615/JAutomatInfScien.v46.i1.80
中图分类号：
学科分类号：
摘要：
The problem of minimization of quadratic functional on solutions of a system of linear parabolic equations is under consideration. Controls enter simultaneously both right-hand parts of the equations and boundary conditions. For investigation of the stated optimization problem the method of Lagrange multipliers is used. Such approach makes it possible to obtain necessary conditions of optimality. Under these conditions the matrix integro-differential Riccati equation with partial derivatives was derived. © 2014 by Begell House Inc.
引用
收藏
页码：73 / 83
相关论文
共 50 条
  • [21] On a nonclassical integro-differential equation
    A. I. Aristov
    Differential Equations, 2015, 51 : 1014 - 1021
  • [22] Stability of an integro-differential equation
    Jin, Chuhua
    Luo, Jiaowan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (07) : 1080 - 1088
  • [23] On the integro-differential equation with delay
    Oulaiba, M
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 323 (07): : 769 - 774
  • [24] CONSTRUCTION OF THE GREEN MATRIX FOR AN INCOMPATIBLE INTEGRO-DIFFERENTIAL SYSTEM
    PENNISI, LL
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (06) : 644 - 645
  • [25] Uniqueness of the Kernel Determination Problem in a Integro-Differential Parabolic Equation with Variable Coefficients
    Durdiev, D. K.
    Nuriddinov, J. Z.
    RUSSIAN MATHEMATICS, 2023, 67 (11) : 1 - 11
  • [26] Time discretization via Laplace transformation of an integro-differential equation of parabolic type
    McLean, W
    Sloan, IH
    Thomée, V
    NUMERISCHE MATHEMATIK, 2006, 102 (03) : 497 - 522
  • [27] KERNEL DETERMINATION PROBLEM IN AN INTEGRO-DIFFERENTIAL EQUATION OF PARABOLIC TYPE WITH NONLOCAL CONDITION
    Durdiev, D. Q.
    Jumaev, J. J.
    Atoev, D. D.
    VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2023, 33 (01): : 90 - 102
  • [28] HÖLDER REGULARITY OF SOLUTIONS FOR CERTAIN DEGENERATE PARABOLIC INTEGRO-DIFFERENTIAL EQUATION
    Yang, Zongqing
    Xie, Junhui
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2024, 31 (03): : 379 - 395
  • [29] Quasi-wavelet for fourth order parabolic partial integro-differential equation
    Yang, Xuehua
    Xu, Da
    Zhang, Haixiang
    Li, Wulan
    Journal of Information and Computational Science, 2010, 7 (11): : 2258 - 2263
  • [30] Uniqueness of the Kernel Determination Problem in a Integro-Differential Parabolic Equation with Variable Coefficients
    D. K. Durdiev
    J. Z. Nuriddinov
    Russian Mathematics, 2023, 67 : 1 - 11
12345