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Control and Cybernetics
Volume 52 (2023): Issue 2 (June 2023)
Open Access
Network optimality conditions
Nikolai P. Osmolovskii
Nikolai P. Osmolovskii
,
Meizhi Qian
Meizhi Qian
and
Jan Sokołowski
Jan Sokołowski
| Apr 11, 2024
Control and Cybernetics
Volume 52 (2023): Issue 2 (June 2023)
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Published Online:
Apr 11, 2024
Page range:
129 - 180
Received:
Oct 01, 2023
Accepted:
Dec 01, 2023
DOI:
https://doi.org/10.2478/candc-2023-0035
Keywords
network
,
optimal control problem
,
weak local minimum
,
Pontryagin’s maximum principle
,
critical cone
,
quadratic form
,
second order optimality conditions
,
Riccati equation
© 2023 Nikolai P. Osmolovskii et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Nikolai P. Osmolovskii
Systems Research Institute, Polish Academy of Sciences
Warszawa, Poland
Meizhi Qian
Systems Research Institute, Polish Academy of Sciences
Warszawa, Poland
School of Mathematical Sciences East China Normal University
Shanghai, China
Jan Sokołowski
Systems Research Institute, Polish Academy of Sciences
Warszawa, Poland
InstitutÉlie Cartan de Lorraine, UMR 7502 Université de Lorraine
France