OPTIMAL STABILIZATION FOR DIFFERENTIAL EQUATIONS

  • D. Ya. Khusainov Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • A. V. Shatyrko Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • Z. R. Hahurin Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Keywords: optimal stabilization, linear stationary differential equations, Lyapunov functions, optimal control

Abstract

The paper considers the task of optimal stabilization for linear stationary differential equations. Usage of Lyapunov functions for optimal stabilization. We prove the theorem about optimal stabilization and determine the expression of optimal control for considered class of tasks.

References

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Published
2023-01-30
How to Cite
Khusainov, D., Shatyrko, A., & Hahurin, Z. (2023). OPTIMAL STABILIZATION FOR DIFFERENTIAL EQUATIONS. Journal of Numerical and Applied Mathematics, 1(2), 158-164. https://doi.org/10.17721/2706-9699.2022.2.18