Open Access
Issue
ESAIM: COCV
Volume 27, 2021
Article Number 72
Number of page(s) 24
DOI https://doi.org/10.1051/cocv/2021069
Published online 12 July 2021
  1. R. Andreani, V. Antunes de Oliveira, J. Tomaz Pereira and G. Nunes Silva, A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition. IMA J. Math. Control Inf . 37 (2020) 1021–1047. [Google Scholar]
  2. M.R. de Pinho, Mixed constrained control problems. J. Math. Anal. Appl. 278 (2003) 293–307. [Google Scholar]
  3. M.R. de Pinho and A. Ilchmann, Weak maximum principle for optimal control problems with mixed constrained. Nonlinear Anal. 48 (2002) 1179–1196. [Google Scholar]
  4. M.R. de Pinho and J.F. Rosenblueth, Necessary conditions for constrained problems under Mangasarian-Fromowitz conditions. SIAM J. Control Optim. 47 (2008) 535–552. [Google Scholar]
  5. M.R. de Pinho and R.B. Vinter, Necessary conditions for optimal control problems involving nonlinear differential algebraic equations. J. Math. Anal. Appl. 212 (1997) 493–516. [Google Scholar]
  6. M.R. de Pinho, P. Loewen and G.N. Silva, A weak maximum principle for optimal control problems with nonsmooth mixed constraints. Set Valued Variat. Anal. 17 (2009) 203–221. [Google Scholar]
  7. M.R. de Pinho; R.B. Vinter and H. Zheng, A maximum principle for optimal control problems with mixed constraints. IMA J. Math. Control Inf . 18 (2001) 189–205. [Google Scholar]
  8. G.B. Folland, Real Analysis-Modern Techniques and Their Applications. John Wiley and Sons (1999). [Google Scholar]
  9. M.R. Hestenes, Calculus of Variations and Optimal Control Theory. Willey, New York (1966). [Google Scholar]
  10. D. Karamzin, V. de Oliveira, F. Pereira and G. Silva, Minimax optimal control problem with state constraints. Eur. J. Control 32 (2016) 24–31. [Google Scholar]
  11. A. Li and J.J. Ye, Necessary optimality conditions for optimal control problems with nonsmooth mixed state and control constraints. Set-Valued Var. Anal. 24 (2016) 449–470. [Google Scholar]
  12. A. Li and J.J. Ye, Necessary optimality conditions for implicit control systems with applications to control of differential algebraic equations. Set-Valued Var. Anal. 26 (2018) 179–203. [Google Scholar]
  13. B.S. Mordukhovich, Variational Analysis and Applications. Springer (2018). [Google Scholar]
  14. L.W. Neustadt, Optimization, A Theory of Necessary Conditions. Princeton University Press, Princeton, New Jersey (1976). [Google Scholar]
  15. N.P. Osmolovskii, Second order conditions for a weak local minimum in an optimal control problem (necessity and sufficiency. Soviet Math. Dokl. 16 (1975) 1480–1484. [Google Scholar]
  16. Z. Palesand V. Zeidan, First and second order necessary conditions for control problems with constraints. Trans. Am. Math. Soc. 346 (1994) 421–453. [Google Scholar]
  17. G. Stefany and P.L. Zezza, Optimality conditions for constrained control problems. SIAM J. Control Optim. 34 (1996) 635–659. [Google Scholar]
  18. R.B. Vinter, Optimal Control, Birkhauser Basel, Boston (2000). [Google Scholar]
  19. R.B. Vinter, Minimax optimal control. SIAM J. Control Optim. 44 (2005) 939–967. [Google Scholar]
  20. R.B. Vinter and G. Pappas, A maximum principle for nonsmooth-control problems with state constraints. J. Math. Anal. Appl. 89 (1982) 212–232. [Google Scholar]
  21. R.B. Vinter and H. Zheng, Necessary conditions for optimal control problems with state constraints. Trans. Am. Math. Soc. 350 (1998) 1181–1204. [Google Scholar]
  22. J.J. Ye, Necessary conditions for bilevel dynamic optimization problems. SIAM J. Control Optim. 33 (1995) 1208–1223. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.