International Journal of Systems Engineering

Archive

Volume 8, Issue 2, December 2024

  • Research Article

    Identification of Physical Dynamical Processes Via Linear Structure Models (Part 2)

    Oleg Yu. Kopysov*

    Issue: Volume 8, Issue 2, December 2024
    Pages: 22-39
    Received: 26 July 2024
    Accepted: 24 September 2024
    Published: 31 October 2024
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    Abstract: Well-known methods of joint estimation of the state and parameters (quasilinearization, invariant imbedding, extended Kalman filter and others like them) expand the vector of the state of the system by including equations for parameters in the model. Such a task of joint estimation of the state and parameter is nonlinear even for linear systems. Fo... Show More
  • Research Article

    Identification of Physical Dynamical Processes via Linear Structure Models (Part 1)

    Oleg Yu. Kopysov*

    Issue: Volume 8, Issue 2, December 2024
    Pages: 40-65
    Received: 26 July 2024
    Accepted: 24 September 2024
    Published: 18 December 2024
    DOI: 10.11648/j.ijse.20240802.12
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    Abstract: The article discusses methods for identifying parameters of partial differential equations. Identification problems are often called poorly conditioned. However, the reason is the ambiguity of the solution, even at the point of minimality of the criterion. In particular, the article discusses: (1) An analysis of singular values for identify the una... Show More