GENERAL SOLUTION OF TERMINAL CONTROL PROBLEM OF A LINEAR DISCRETE SYSTEM

  • V. T. Matvienko Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • V. V. Pichkur Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • D. I. Cherniy Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • E. O. Demkivskiy Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Keywords: discrete system, terminal control, pseudoinverse matrix, reachability set

Abstract

The paper analyzes the mathematical problem consisting of constructing a general solution to the problem of terminal control of a discrete system. We gibe the general solution and the general pseudosolution for the linear system. A solution to the problem of constructing the reachability set from the origin of the coordinates with restrictions on the norm of the control function is obtained.

References

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Gantmacher F. R. The Theory of Matrices. Vol. 1. New York: Chelsea Publishing, 1959. 276 p.

Published
2023-02-01
How to Cite
Matvienko, V., Pichkur, V., Cherniy, D., & Demkivskiy, E. (2023). GENERAL SOLUTION OF TERMINAL CONTROL PROBLEM OF A LINEAR DISCRETE SYSTEM. Journal of Numerical and Applied Mathematics, 1(2), 83-90. https://doi.org/10.17721/2706-9699.2022.2.10