Convergence Analysis of the Implicit Euler-discretization and Sufficient Conditions for Optimal Control Problems Subject to Index-one Differential-algebraic Equations-Reference-Cited by-同舟云学术

Convergence Analysis of the Implicit Euler-discretization and Sufficient Conditions for Optimal Control Problems Subject to Index-one Differential-algebraic Equations

Published:2018-02-13 Issue:2 Volume:27 Page:405-431
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Martens Björn,Gerdts Matthias

Funder

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

http://link.springer.com/article/10.1007/s11228-018-0471-x/fulltext.html

Reference23 articles.

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2. Bonnans, J.F., Hermant, A.: Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. ELSEVIER Ann. I. H. Poincaré – AN 26, 561–598 (2009)

3. Dontchev, A.L., Hager, W.W., Poore, A.B., Yang, B.: Optimality, stability, and convergence in nonlinear control. Appl. Math. Optim. 31, 297–326 (1995)

4. Dontchev, A.L., Hager, W.W., Malanowski, K.: Error bounds for euler approximation of a state and control constrained optimal control problem. Numer. Funct. Anal. Optim. 21(5 & 6), 653–682 (2000)

5. Evans, L.C.: Partial Differential Equations, Second Edition, Graduate Studies in Mathematics, vol. 19. American Mathematical Society, Providence (2010)

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