The polynomial chaos approach for reachable set propagation with application to chance-constrained nonlinear optimal control under parametric uncertainties-Reference-Cited by-同舟云学术

The polynomial chaos approach for reachable set propagation with application to chance-constrained nonlinear optimal control under parametric uncertainties

Published:2017-05-24 Issue:2 Volume:39 Page:471-488
ISSN:0143-2087
Container-title:Optimal Control Applications and Methods
language:en
Short-container-title:Optim Control Appl Meth

Author:

Bergner Lilli¹,Kirches Christian¹

Affiliation:

1. Interdisciplinary Center for Scientific Computing (IWR); Heidelberg University; Heidelberg Germany

Funder

German Federal Ministry of Education and Research program

German Excellence Initiative

Seventh Framework Programme

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

Applied Mathematics,Control and Optimization,Software,Control and Systems Engineering

Reference47 articles.

1. Time-optimal control of automobile test drives with gear shifts;Kirches;Optimal Control Appl Methods,2010

2. Determining the optimum cyclic operation of adsorption chillers by a direct method for periodic optimal control;Gräber;Int J Refrig,2011

3. Annihilation of limit-cycle oscillations by identification of critical perturbing stimuli via mixed-integer optimal control;Lebiedz;Phys Rev Lett,2005

4. Bock HG Plitt K Multiple shooting algorithm for direct solution of optimal control problems Proceedings of the 9th IFAC World Congress Pergamon Press 1984 Budapest, Hungary

5. Solution of dynamic optimization problems by successive quadratic programming and orthogonal collocation;Biegler;Comput Chem Eng,1984

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