Free Access
Issue
ESAIM: COCV
Volume 19, Number 3, July-September 2013
Page(s) 811 - 827
DOI https://doi.org/10.1051/cocv/2012034
Published online 17 May 2013
  1. R. Gabasov and F.M. Kirillova, On the extension of the maximum principle by L.S. Pontryagin to discrete systems. Autom. Remote Control 27 (1966) 1878–1882. [Google Scholar]
  2. B.S. Mordukhovich, Approximate maximum principle fot finite-difference control systems. Comput. Maths. Math. Phys. 28 (1988) 106–114. [CrossRef] [Google Scholar]
  3. B.S. Mordukhovich, Discrete approximations and refined Euler-Lagrange conditions for nonconvex differential inclusions. SIAM J. Control Optim. 33 (1995) 882–915. [CrossRef] [MathSciNet] [Google Scholar]
  4. B.S. Mordukhovich, Variational Analysis and Generalized Differentiation, I: Basic Theory, II: Applications. Springer, Berlin (2006). [Google Scholar]
  5. B.S. Mordukhovich and I. Shvartsman, The approximate maximum principle in constrained optimal control. SIAM J. Control Optim. 43 (2004) 1037–1062. [CrossRef] [MathSciNet] [Google Scholar]
  6. B.S. Mordukhovich and I. Shvartsman, Nonsmooth approximate maximum principle in optimal control. Proc. 50th IEEE Conf. Dec. Cont. Orlando, FL (2011). [Google Scholar]
  7. K. Nitka-Styczen, Approximate discrete maximum principle for the discrete approximation of optimal periodic control problems, Int. J. Control 50 (1989) 1863–1871. [CrossRef] [Google Scholar]
  8. L.C. Pontryagin, V.G. Boltyanskii, R.V. Gamkrelidze and E.F. Mishchenko, The Mathematical Theory of Optimal Processes. Wiley, New York (1962). [Google Scholar]
  9. R.T. Rockafellar, Convex Analysis. Princeton University Press, Princeton, NJ (1973). [Google Scholar]
  10. G.V. Smirnov, Introduction to the Theory of Differential Inclusions. American Mathematical Society, Providence, RI (2002). [Google Scholar]
  11. R.B. Vinter, Optimal Control. Birkhäuser, Boston (2000). [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.