Dual Quasi-Newton Method in Hilbert Spaces with an Application to State-Constrained Optimal Control Problems

Kiyotaka SHIMIZU; Satoshi ITO

doi:10.9746/sicetr1965.26.1015

Dual Quasi-Newton Method in Hilbert Spaces with an Application to State-Constrained Optimal Control Problems

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.26.1015 ◽

1990 ◽

Vol 26 (9) ◽

pp. 1015-1022

Author(s):

Kiyotaka SHIMIZU ◽

Satoshi ITO

Keyword(s):

Optimal Control ◽

Newton Method ◽

Hilbert Spaces ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Quasi Newton

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Erratum: Global Convergence of a Nonsmooth Newton Method for Control-State Constrained Optimal Control Problems

SIAM Journal on Optimization ◽

10.1137/090755291 ◽

2011 ◽

Vol 21 (2) ◽

pp. 615-616

Author(s):

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Global Convergence ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Nonsmooth Newton Method ◽

Control State

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A pointwise quasi-Newton method for unconstrained optimal control problems

Numerische Mathematik ◽

10.1007/bf01406512 ◽

1989 ◽

Vol 55 (2) ◽

pp. 159-176 ◽

Cited By ~ 19

Author(s):

C. T. Kelley ◽

E. W. Sachs

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Quasi Newton

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Global Convergence of a Nonsmooth Newton Method for Control-State Constrained Optimal Control Problems

SIAM Journal on Optimization ◽

10.1137/060657546 ◽

2008 ◽

Vol 19 (1) ◽

pp. 326-350 ◽

Cited By ~ 22

Author(s):

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Global Convergence ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Nonsmooth Newton Method ◽

Control State

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Pointwise quasi-Newton method for unconstrained optimal control problems, II

Journal of Optimization Theory and Applications ◽

10.1007/bf00941402 ◽

1991 ◽

Vol 71 (3) ◽

pp. 535-547 ◽

Cited By ~ 8

Author(s):

C. T. Kelley ◽

E. W. Sachs ◽

B. Watson

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Quasi Newton

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Constrained optimization in Hilbert space and a generalized dual quasi-Newton algorithm for state-constrained optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/9.284875 ◽

1994 ◽

Vol 39 (5) ◽

pp. 982-986 ◽

Cited By ~ 8

Author(s):

K. Shimizu ◽

S. Ito

Keyword(s):

Optimal Control ◽

Hilbert Space ◽

Constrained Optimization ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Newton Algorithm ◽

Quasi Newton

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Numerical solution of control-state constrained optimal control problems with an inexact smoothing Newton method

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq023 ◽

2011 ◽

Vol 31 (4) ◽

pp. 1598-1624 ◽

Cited By ~ 4

Author(s):

J. Chen ◽

M. Gerdts

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Newton Method ◽

Optimal Control Problems ◽

Smoothing Newton Method ◽

Control Problems ◽

Constrained Optimal Control ◽

Control State

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Constrained Optimization in Banach Space and a Generalized Dual Quasi-Newton Algorithm for State-Constrained Optimal Control Problems

1991 American Control Conference ◽

10.23919/acc.1991.4791389 ◽

1991 ◽

Cited By ~ 1

Author(s):

Kiyotaka Shimizu ◽

Satoshi Ito

Keyword(s):

Banach Space ◽

Optimal Control ◽

Constrained Optimization ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Newton Algorithm ◽

Quasi Newton

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The Lagrange-Newton method for state constrained optimal control problems

Computational Optimization and Applications ◽

10.1007/bf01300872 ◽

1995 ◽

Vol 4 (3) ◽

pp. 217-239 ◽

Cited By ~ 10

Author(s):

Walter Alt ◽

Kazimierz Malanowski

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control

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Convergence of Lagrange-Newton method for control-state and pure state constrained optimal control problems

System Modelling and Optimization ◽

10.1007/978-0-387-34897-1_50 ◽

1996 ◽

pp. 419-426

Author(s):

Kazimierz Malanowski

Keyword(s):

Optimal Control ◽

Newton Method ◽

Pure State ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Control State

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A Canonical Structure for Constrained Optimal Control Problems

1993 American Control Conference ◽

10.23919/acc.1993.4793145 ◽

1993 ◽

Author(s):

Jie Chen ◽

Guoxiang Gu ◽

Carl N. Nett ◽

Dapeng Xiong

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Canonical Structure ◽

Constrained Optimal Control

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