Mathematical Modeling of the State of Dynamical Multiplicatively Nonlinear Systems

被引：1
|
作者：
Stoyan, V. A. [1 ]
机构：
[1] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2022年 / 58卷 / 04期
关键词：
nonlinear dynamical systems; systems with uncertainties; distributed-parameter systems; spatially distributed systems; pseudosolutions; ill-posed initial-boundary-value problems;
D O I：
10.1007/s10559-022-00493-8
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
The author formulates and solves, by the root-mean-square criterion, initial-boundary-value problems of the dynamics of nonlinear spatially distributed systems. Systems whose mathematical model is generated by the product of two or more differential transformations of their functions of state are considered. Analytical dependencies of this function are constructed in the presence of their discretely and continuously defined initial-boundary observations, without constraints for the number and quality of the latter. The accuracy of the sets of the obtained solutions is evaluated and their uniqueness is analyzed.
引用
收藏
页码：598 / 610
页数：13
相关论文
共 50 条
  • [1] Mathematical Modeling of the State of Dynamical Multiplicatively Nonlinear Systems
    V. A. Stoyan
    Cybernetics and Systems Analysis, 2022, 58 : 598 - 610
  • [2] A STATE-SPACE NEURAL NETWORK FOR MODELING DYNAMICAL NONLINEAR SYSTEMS
    Amoura, Karima
    Wira, Patrice
    Djennoune, Said
    NCTA 2011: PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NEURAL COMPUTATION THEORY AND APPLICATIONS, 2011, : 369 - 376
  • [3] Optimal mathematical models for nonlinear dynamical systems
    Torokhti, A
    Howlett, P
    Pearce, C
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2003, 9 (03) : 327 - 343
  • [4] A DYNAMICAL SYSTEMS APPROACH TO MATHEMATICAL MODELING OF TORNADOES
    Lunasin, Evelyn
    Malek-Madani, Reza
    Slemrod, Marshall
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2016, 11 (01): : 145 - 161
  • [5] A state observer for nonlinear dynamical systems
    Dalla Mora, M
    Germani, A
    Manes, C
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (07) : 4485 - 4496
  • [6] Linear modeling error and steady-state behaviour of nonlinear dynamical systems
    Schweickhardt, Tobias
    Allgoewer, Frank
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 8150 - 8155
  • [7] Mathematical Modeling, Analysis, and Control of Hybrid Dynamical Systems
    Shi, Peng
    Karimi, Hamid Reza
    Yang, Rongni
    Su, Xiaojie
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [8] Adaptive fuzzy modeling of nonlinear dynamical systems
    Tan, SH
    Yu, Y
    AUTOMATICA, 1996, 32 (04) : 637 - 643
  • [9] Fault coverage modeling in nonlinear dynamical systems
    Mueller, Matthias A.
    Dominguez-Garcia, Alejandro D.
    AUTOMATICA, 2012, 48 (07) : 1372 - 1379
  • [10] Mixed mathematical and physical modeling for nonlinear systems
    Kiriakidis, Kiriakos
    Proceedings of the ASME Dynamic Systems and Control Division 2005, Pts A and B, 2005, : 1223 - 1232
12345