Justification of Direct Scheme for Asymptotic Solving Three-Tempo Linear-Quadratic Control Problems under Weak Nonlinear Perturbations
Abstract
:1. Introduction
- The proof of non-increasing values of functional (1) under using new asymptotic approximations to the optimal control and constructing minimized sequences.
2. Formalism of Asymptotics Construction
3. Optimal Control Problems for Finding Asymptotics Terms
4. Justification of Formalism of Asymptotics Construction
5. Asymptotic Estimates
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Kurina, G.; Kalashnikova, M. Justification of Direct Scheme for Asymptotic Solving Three-Tempo Linear-Quadratic Control Problems under Weak Nonlinear Perturbations. Axioms 2022, 11, 647. https://doi.org/10.3390/axioms11110647
Kurina G, Kalashnikova M. Justification of Direct Scheme for Asymptotic Solving Three-Tempo Linear-Quadratic Control Problems under Weak Nonlinear Perturbations. Axioms. 2022; 11(11):647. https://doi.org/10.3390/axioms11110647
Chicago/Turabian StyleKurina, Galina, and Margarita Kalashnikova. 2022. "Justification of Direct Scheme for Asymptotic Solving Three-Tempo Linear-Quadratic Control Problems under Weak Nonlinear Perturbations" Axioms 11, no. 11: 647. https://doi.org/10.3390/axioms11110647