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Mathematical Statements of MLC Problems

In: Machine Learning Control by Symbolic Regression

Author

Listed:
  • Askhat Diveev

    (Russian Academy of Sciences (FRC CSC RAS), Federal Research Center “Computer Science and Control”)

  • Elizaveta Shmalko

    (Russian Academy of Sciences (FRC CSC RAS), Federal Research Center “Computer Science and Control”)

Abstract

This chapter presents the formal statements of MLC problems. First of all, consider the formulation of the machine learning problem as the problem of finding an unknown functional relationship. Next, we present the formulations of control theory problems that can be distinguished as machine learning control problems, namely the optimal control problem and more widely the general control synthesis problem, optimal control problem based on the synthesis of the stabilization system (synthesized optimal control), and the control object identification problem. All the tasks involve finding an unknown function. The function can be set up to parameters, and then machine learning techniques are used only to adjust the parameters. In general case, both the structure of the function and its parameters should be found.

Suggested Citation

  • Askhat Diveev & Elizaveta Shmalko, 2021. "Mathematical Statements of MLC Problems," Springer Books, in: Machine Learning Control by Symbolic Regression, chapter 0, pages 7-25, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-83213-1_2
    DOI: 10.1007/978-3-030-83213-1_2
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