Linear control problems and an existence theorem

Dynamic Path Synthesis refers to a class of linkage synthesis problems in which constraint paths between specified positions are determined in such a way as to optimize some measure of the resulting dynamic behavior. These problems can be transformed into nonlinear optimal control problems which are generally non-autonomous. The physical nature of the system allows general comments to be made regarding uniqueness, controllability, and singular control. The ideas are developed in the context of a two-link device yielding a fourth order non-linear control problem, for which a numerical example is presented.

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A portable subroutine library for solving linear control problems on distributed memory computers

Workshop on wide area networks and high performance computing - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0110079 ◽

2007 ◽

pp. 61-87 ◽

Cited By ~ 8

Author(s):

Peter Benner ◽

Enrique S. Quintana-Ortí ◽

Gregorio Quintana-Ortí

Keyword(s):

Distributed Memory ◽

Linear Control ◽

Control Problems

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Asymptotic Effects in Linear Control Problems with Integral Constraints

Asymptotic Attainability ◽

10.1007/978-94-017-0805-0_2 ◽

1997 ◽

pp. 14-28

Author(s):

A. G. Chentsov

Keyword(s):

Linear Control ◽

Control Problems ◽

Integral Constraints

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An Existence Theorem for Control Problems with Unbounded Control Domain

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/573 ◽

1993 ◽

Vol 12 (1) ◽

pp. 171-178

Author(s):

H. Kraut

Keyword(s):

Existence Theorem ◽

Control Problems ◽

Unbounded Control

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On Balder’s Existence Theorem for Infinite-Horizon Optimal Control Problems

Mathematical Notes ◽

10.1134/s0001434618010182 ◽

2018 ◽

Vol 103 (1-2) ◽

pp. 167-174 ◽

Cited By ~ 3

Author(s):

K. O. Besov

Keyword(s):

Optimal Control ◽

Existence Theorem ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Control Problems

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Branching points in linear control problems

Lecture Notes in Mathematics - Bifurcation of Extremals in Optimal Control ◽

10.1007/bfb0077062 ◽

1986 ◽

pp. 40-48

Author(s):

Jacob Kogan

Keyword(s):

Linear Control ◽

Control Problems ◽

Branching Points

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Weak compactness of conditional probability measures and its application to stochastic linear control problems

International Journal of Systems Science ◽

10.1080/00207727408920077 ◽

1974 ◽

Vol 5 (1) ◽

pp. 67-71 ◽

Cited By ~ 1

Author(s):

K. L. TEO ◽

N. U. AHMED

Keyword(s):

Conditional Probability ◽

Weak Compactness ◽

Linear Control ◽

Probability Measures ◽

Control Problems

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An algorithm for quasi-linear control problems in the economics of renewable resources: The steady state and end state for the infinite and long-term horizon

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.02.057 ◽

2017 ◽

Vol 309 ◽

pp. 456-472 ◽

Cited By ~ 2

Author(s):

L. Bayón ◽

P.J. García-Nieto ◽

R. García-Rubio ◽

J.A. Otero ◽

P.M. Suárez ◽

...

Keyword(s):

Steady State ◽

Renewable Resources ◽

Linear Control ◽

Control Problems

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Existence of optimal controls for viscous flow problems

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1992.0135 ◽

1992 ◽

Vol 439 (1905) ◽

pp. 81-102 ◽

Cited By ~ 46

Keyword(s):

Optimal Control ◽

Flow Control ◽

Viscous Flow ◽

Existence Theorem ◽

General Class ◽

Optimal Control Problems ◽

Control Problems ◽

Optimal Controls ◽

Flow Problems ◽

Existence Of Optimal Controls

A class of optimal control problems in viscous flow is studied. Main result is the existence theorem for optimal control. Three typical flow control problems are formulated within this general class.

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