O‘zbekiston matematika jurnali Volume 69 Issue 4 (2025) · pp. 108-112

On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty

Haydarov, T.T.

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Abstract

In the paper, we consider a class dynamic control system with a discrete parameter and under conditions of uncertainty in the initial data. The optimal control problem of the minimax type is formulated for a non-smooth terminal functional using the principle of the best-guaranteed result. This problem is studied by methods of multivalued and convex analysis. For this non-smooth control problem the necessary and sufficient conditions for optimality are obtained.

control system, discrete parameter, terminal functional, minimax, non-smooth control problem, conditions for optimality

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Cite

APA 7 
Haydarov, T.T. (2025). On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty. O‘zbekiston matematika jurnali, 69(4), 108-112.
GOST R 7.0.5 
Haydarov, T.T. On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty // O‘zbekiston matematika jurnali. 2025. Т. 69. № 4. С. 108-112.
BibTeX 
@article{t.t.2025,
  author  = {Haydarov, T.T.},
  title   = {On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {4},
  pages   = {108-112}
}
RIS 
TY  - JOUR
AU  - Haydarov, T.T.
TI  - On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 4
SP  - 108
EP  - 112
ER  -