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Reduction of delayed optimal control problems to nondelayed problems

T. Guinn
- 01 Dec 1976 - 
- Vol. 20, Iss: 4, pp 499-500
TLDR
In this paper, a method is presented which transforms a large class of optimal control problems with fixed delays to non-delayed problems, thus permitting classical results to be used in their analysis.
Abstract: 
A method is exhibited which transforms a large class of optimal control problems with fixed delays to nondelayed problems, thus permitting classical results to be used in their analysis.

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Journal ArticleDOI

Optimal control problems with delays in state and control variables subject to mixed control–state constraints

Laurenz Göllmann, +2 more
- 01 Jul 2009 - 
TL;DR: In this article, a nonlinear programming formulation of the optimal control problem with delays in state and control variables is presented. But the Lagrange multipliers associated with the programming problem provide a consistent discretization of the advanced adjoint equation for the delayed control problem.
Journal ArticleDOI

Theory and applications of optimal control problems with multiple time-delays

Laurenz Göllmann, +1 more
- 01 Oct 2013 - 
TL;DR: In this article, a discretization method is presented by which the delayed control problem is transformed into a nonlinear programming problem, and the associated Lagrange multipliers provide a consistent numerical approximation for the adjoint variables of the delayed optimal control problem.

Bocop - A collection of examples

Frédéric Bonnans, +2 more
TL;DR: A collection of classical optimal control problems which have been implemented and solved with Bocop and the main features of the problems and of their solutions are recalled, and the numerical results obtained are described.
Journal ArticleDOI

Pontryagin's maximum principle of optimal control problems with time-delay

G. V. Bokov
- 13 Jan 2011 - 
TL;DR: In this article, an optimal control problem with time-delay is considered, where the state and the control variables contain various constant time-delays and the necessary conditions are expressed in an explicit form.
Journal ArticleDOI

A Filippov-type lemma for functions involving delays and its application to time-delayed optimal control problems

S. Nababan
- 01 Mar 1979 - 
TL;DR: In this paper, a Filippov-type lemma for functions involving delays is derived, which is used to prove the existence of an optimal control for a class of nonlinear control processes with delays appearing in both state and control variables.