Controllability and Second-Order Necessary Conditions for Local Infimum Trajectories in Optimal Control
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematics (miscellaneous)
Link
https://link.springer.com/content/pdf/10.1134/S0081543823020013.pdf
Reference10 articles.
1. E. R. Avakov and G. G. Magaril-Il’yaev, “Controllability and second-order necessary conditions for optimality,” Sb. Math. 210 (1), 1–23 (2019) [transl. from Mat. Sb. 210 (1), 3–26 (2019)].
2. E. R. Avakov and G. G. Magaril-Il’yaev, “Generalized needles and second-order conditions in optimal control,” Proc. Steklov Inst. Math. 304, 8–25 (2019) [transl. from Tr. Mat. Inst. Steklova 304, 15–31 (2019)].
3. E. R. Avakov and G. G. Magaril-Il’yaev, “Local infimum and a family of maximum principles in optimal control,” Sb. Math. 211 (6), 750–785 (2020) [transl. from Mat. Sb. 211 (6), 3–39 (2020)].
4. E. R. Avakov and G. G. Magaril-Il’yaev, “Necessary second-order conditions for a local infimum in an optimal control,” SIAM J. Control Optim. 60 (2), 1018–1038 (2022).
5. R. V. Gamkrelidze, “Optimal sliding states,” Sov. Math., Dokl. 3, 559–562 (1962) [transl. from Dokl. Akad. Nauk SSSR 143 (6), 1243–1245 (1962)].
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