Next Article in Journal
Acknowledgment to Reviewers of Games in 2020
Next Article in Special Issue
Optimal Control and Positional Controllability in a One-Sector Economy
Previous Article in Journal / Special Issue
Boltzmann Distributed Replicator Dynamics: Population Games in a Microgrid Context
Article

Necessary Optimality Conditions for a Class of Control Problems with State Constraint

Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland
*
Author to whom correspondence should be addressed.
Received: 23 November 2020 / Revised: 7 January 2021 / Accepted: 13 January 2021 / Published: 18 January 2021
(This article belongs to the Special Issue Optimal Control Theory)
An elementary approach to a class of optimal control problems with pathwise state constraint is proposed. Based on spike variations of control, it yields simple proofs and constructive necessary conditions, including some new characterizations of optimal control. Two examples are discussed. View Full-Text
Keywords: optimal control; state constraint; necessary optimality conditions optimal control; state constraint; necessary optimality conditions
Show Figures

Figure 1

MDPI and ACS Style

Korytowski, A.; Szymkat, M. Necessary Optimality Conditions for a Class of Control Problems with State Constraint. Games 2021, 12, 9. https://0-doi-org.brum.beds.ac.uk/10.3390/g12010009

AMA Style

Korytowski A, Szymkat M. Necessary Optimality Conditions for a Class of Control Problems with State Constraint. Games. 2021; 12(1):9. https://0-doi-org.brum.beds.ac.uk/10.3390/g12010009

Chicago/Turabian Style

Korytowski, Adam, and Maciej Szymkat. 2021. "Necessary Optimality Conditions for a Class of Control Problems with State Constraint" Games 12, no. 1: 9. https://0-doi-org.brum.beds.ac.uk/10.3390/g12010009

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop