Some results on bellman equation in Hilbert spaces and applications to infinite dimensional control problems

Lecture Notes in Control and Information Sciences - Stochastic Differential Systems Filtering and Control ◽

10.1007/bfb0005082 ◽

1985 ◽

pp. 270-280 ◽

Cited By ~ 1

Author(s):

G. Da Prato

Keyword(s):

Hilbert Spaces ◽

Bellman Equation ◽

Control Problems ◽

Dimensional Control ◽

Infinite Dimensional

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Riesz basis property of some infinite-dimensional control problems and its applications

10.5353/th_b3016350 ◽

2004 ◽

Author(s):

Junmin Wang

Keyword(s):

Riesz Basis ◽

Basis Property ◽

Control Problems ◽

Dimensional Control ◽

Riesz Basis Property ◽

Infinite Dimensional

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Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations

Annals of PDE ◽

10.1007/s40818-018-0052-1 ◽

2018 ◽

Vol 4 (2) ◽

Cited By ~ 3

Author(s):

Nathan E. Glatt-Holtz ◽

David P. Herzog ◽

Jonathan C. Mattingly

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Control Problems ◽

Dimensional Control ◽

Partial Differential ◽

Infinite Dimensional

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Some Remarks on Pontryagin’s Maximum Principle for Infinite Dimensional Control Problems

Perspectives in Control Theory ◽

10.1007/978-1-4757-2105-8_2 ◽

1990 ◽

pp. 12-25

Author(s):

H. O. Fattorini

Keyword(s):

Maximum Principle ◽

Pontryagin’S Maximum Principle ◽

Control Problems ◽

Dimensional Control ◽

Pontryagin's Maximum Principle ◽

Infinite Dimensional

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Existence of Overtaking Solutions to Infinite Dimensional Control Problems on Unbounded Time Intervals

SIAM Journal on Control and Optimization ◽

10.1137/0325084 ◽

1987 ◽

Vol 25 (6) ◽

pp. 1517-1541 ◽

Cited By ~ 27

Author(s):

D. A. Carlson ◽

A. Haurie ◽

A. Jabrane

Keyword(s):

Control Problems ◽

Dimensional Control ◽

Time Intervals ◽

Infinite Dimensional

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Necessary conditions for infinite-dimensional control problems

Mathematics of Control Signals and Systems ◽

10.1007/bf02551380 ◽

1991 ◽

Vol 4 (1) ◽

pp. 41-67 ◽

Cited By ~ 36

Author(s):

H. O. Fattorini ◽

H. Frankowska

Keyword(s):

Necessary Conditions ◽

Control Problems ◽

Dimensional Control ◽

Infinite Dimensional

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Existence and Structure of Optimal Solutions of Infinite-Dimensional Control Problems

Applied Mathematics & Optimization ◽

10.1007/s002450010011 ◽

2000 ◽

Vol 42 (3) ◽

pp. 291-313 ◽

Cited By ~ 10

Author(s):

A. J. Zaslavski

Keyword(s):

Control Problems ◽

Optimal Solutions ◽

Dimensional Control ◽

Infinite Dimensional

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Necessary conditions for infinite dimensional control problems

Analysis and Optimization of Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0042230 ◽

2006 ◽

pp. 381-392 ◽

Cited By ~ 4

Author(s):

H. O. Fattorini ◽

H. Frankowska

Keyword(s):

Necessary Conditions ◽

Control Problems ◽

Dimensional Control ◽

Infinite Dimensional

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Infinite dimensional control problems with state constraints

Modelling and Inverse Problems of Control for Distributed Parameter Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0044483 ◽

1991 ◽

pp. 52-62 ◽

Cited By ~ 1

Author(s):

H. O. Fattorini ◽

H. Frankowska

Keyword(s):

State Constraints ◽

Control Problems ◽

Dimensional Control ◽

Infinite Dimensional

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Infinite dimensional control problems I: On the closure of the set of attainable states for linear systems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(64)90003-4 ◽

1964 ◽

Vol 9 (1) ◽

pp. 12-22 ◽

Cited By ~ 23

Author(s):

Peter L Falb

Keyword(s):

Linear Systems ◽

Control Problems ◽

Dimensional Control ◽

Infinite Dimensional

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Nonoccurrence of gap for infinite-dimensional control problems with nonconvex integrands

Optimization ◽

10.1080/02331930500530708 ◽

2006 ◽

Vol 55 (1-2) ◽

pp. 171-186 ◽

Cited By ~ 1

Author(s):

Alexander J. Zaslavski

Keyword(s):

Control Problems ◽

Dimensional Control ◽

Infinite Dimensional

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