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All issues Volume 30 (2024) ESAIM: COCV, 30 (2024) 59 References
Open Access
Issue
ESAIM: COCV
Volume 30, 2024
Article Number 59
Number of page(s) 38
DOI https://doi.org/10.1051/cocv/2024049
Published online 28 August 2024
  1. J.F. Bonnans and T. Guilbaud, Using logarithmic penalties in the shooting algorithm for optimal control problems. Optimal Control Appl. Methods 24 (2003) 257–278. [CrossRef] [MathSciNet] [Google Scholar]
  2. K. Graichen and N. Petit, Incorporating a class of constraints into the dynamics of optimal control problems. Optimal Control Appl. Methods 30 (2009) 537–561. [CrossRef] [MathSciNet] [Google Scholar]
  3. L. Lasdon, A. Waren and R. Rice, An interior penalty method for inequality constrained optimal control problems. IEEE Trans. Automatic Control 12 (1967) 388–395. [CrossRef] [Google Scholar]
  4. P. Malisani, Interior point methods in optimal control problems for affine systems: convergence results and solving algorithms. SIAM J. Control Optim. 61 (2023) 3390–3414. [CrossRef] [MathSciNet] [Google Scholar]
  5. P. Malisani, F. Chaplais and N. Petit, An interior penalty method for optimal control problems with state and input constraints of nonlinear systems. Optimal Control Appl. Methods 37 (2014) 3–33. [Google Scholar]
  6. M. Weiser, Interior point methods in function space. SIAM J. Control Optim. 44 (2005) 1766–1786. [CrossRef] [MathSciNet] [Google Scholar]
  7. J.F. Bonnans, X. Dupuis and L. Pfeiffer, Second-order sufficient conditions for strong solutions to optimal control problems. ESAIM Control Optim. Calc. Var. 20 (2014) 704–724. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  8. J.F. Bonnans and A. Hermant, Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009) 561–598. [CrossRef] [MathSciNet] [Google Scholar]
  9. J.F. Bonnans, X. Dupuis and L. Pfeiffer, Second-order necessary conditions in pontryagin form for optimal control problems. SIAM J. Control Optim. 52 (2014) 3887–3916. [CrossRef] [MathSciNet] [Google Scholar]
  10. R.F. Hartl, S. Sethi and R. Vickson, A survey of the maximum principles for optimal control problems with state constraints. SIAM Rev. 37 (1995) 181–218. [CrossRef] [MathSciNet] [Google Scholar]
  11. H. Maurer and J. Zowe, First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems. Math. Programm. 16 (1979) 98–110. [CrossRef] [Google Scholar]
  12. H. Seywald and E.M. Cliff, Goddard problem in presence of a dynamic pressure limit. J. Guidance Control Dyn. 16 (1993) 776–781. [CrossRef] [Google Scholar]
  13. P. Malisani, Python source code for “Interior point methods in optimal control”. https://ifpen-gitlab.appcollaboratif.fr/detocs/ipm_ocp, 2023. [Google Scholar]
  14. J.F. Bonnans and A. Shapiro, Perturbation Analysis of Optimization Problems. Springer-Verlag, New York (2000). [Google Scholar]
  15. A.J. Kurdila and M. Zabarankin, Convex Functional Analysis. Birkhäuser Boston (2005). [Google Scholar]
  16. H. Brézis, Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer (2010). [Google Scholar]
  17. V.I. Bogachev. Measure Theory. Springer Berlin Heidelberg, Berlin, Heidelberg (2007). [CrossRef] [Google Scholar]
  18. W. Rudin, Principles of Mathematical Analysis, 3rd edn. McGraw-Hill (1976). [Google Scholar]
  19. M. Renardy and R. Rogers, An Introduction to Partial Differential Equations, Vol. 13 of Texts in Applied Mathematics, 2nd edn. Springer, New York (2004). [Google Scholar]
  20. H. Khalil, Non Linear Systems. Prentice Hall (2002). [Google Scholar]
  21. J.-B. Caillau, R. Ferretti, E. Trélat and H. Zidani, Chapter 15 – An algorithmic guide for finite-dimensional optimal control problems, in Numerical Control: Part B, Vol. 24 of Handbook of Numerical Analysis. Elsevier (2023) 559–626. [CrossRef] [Google Scholar]
  22. J. Kierzenka and L.F. Shampine, A bvp solver based on residual control and the Maltab PSE. ACM Trans. Math. Softw. 27 (2001) 299–316. [CrossRef] [Google Scholar]

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