On State Constraint Representations and Mesh-Dependent Gradient Projection Convergence Rates for Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012999351656 ◽

2000 ◽

Vol 39 (4) ◽

pp. 1082-1111 ◽

Author(s):

J. C. Dunn

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Convergence Rates ◽

State Constraint ◽

Gradient Projection ◽

Control Problems

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On state constraint representations and mesh-dependent gradient projection convergence rates for optimal control problems

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) ◽

10.1109/cdc.2001.980412 ◽

2003 ◽

Author(s):

J.C. Dunn

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Convergence Rates ◽

State Constraint ◽

Gradient Projection ◽

Control Problems

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Transformation of optimal control problems with a state constraint avoiding interior boundary conditions

2008 47th IEEE Conference on Decision and Control ◽

10.1109/cdc.2008.4739035 ◽

2008 ◽

Author(s):

Knut Graichen ◽

Nicolas Petit ◽

Andreas Kugi

Keyword(s):

Optimal Control ◽

Boundary Conditions ◽

Optimal Control Problems ◽

State Constraint ◽

Control Problems ◽

Interior Boundary ◽

Interior Boundary Conditions

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On ${\text{L}}^2 $ Sufficient Conditions and the Gradient Projection Method for Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012994266127 ◽

1996 ◽

Vol 34 (4) ◽

pp. 1270-1290 ◽

Author(s):

J. C. Dunn

Keyword(s):

Optimal Control ◽

Projection Method ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Gradient Projection ◽

Gradient Projection Method ◽

Control Problems

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Indirect solution for optimal control problems with a pure state constraint

IFAC Proceedings Volumes ◽

10.3182/20140824-6-za-1003.01626 ◽

2014 ◽

Vol 47 (3) ◽

pp. 2456-2461 ◽

Author(s):

Thijs van Keulen

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

State Constraint ◽

Control Problems ◽

Pure State Constraint

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Mesh Independence of the Gradient Projection Method for Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/0330029 ◽

1992 ◽

Vol 30 (2) ◽

pp. 477-493 ◽

Author(s):

C. T. Kelley ◽

E. W. Sachs

Keyword(s):

Optimal Control ◽

Projection Method ◽

Optimal Control Problems ◽

Gradient Projection ◽

Gradient Projection Method ◽

Control Problems ◽

Mesh Independence

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Convergence rates of moment-sum-of-squares hierarchies for optimal control problems

Systems & Control Letters ◽

10.1016/j.sysconle.2016.11.010 ◽

2017 ◽

Vol 100 ◽

pp. 1-5 ◽

Author(s):

Milan Korda ◽

Didier Henrion ◽

Colin N. Jones

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Convergence Rates ◽

Sum Of Squares ◽

Control Problems

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A class of stochastic optimal control problems with state constraint

Indiana University Mathematics Journal ◽

10.1512/iumj.2002.51.2079 ◽

2002 ◽

Vol 51 (5) ◽

pp. 1167-1196 ◽

Author(s):

Hitoshi Ishii ◽

Paola Loreti

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

State Constraint ◽

Control Problems

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Galerkin Spectral Approximation of Elliptic Optimal Control Problems with $$H^1$$ H 1 -Norm State Constraint

Journal of Scientific Computing ◽

10.1007/s10915-015-0071-y ◽

2015 ◽

Vol 67 (1) ◽

pp. 65-83 ◽

Author(s):

Yanping Chen ◽

Fenglin Huang

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

State Constraint ◽

Control Problems ◽

Spectral Approximation ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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On the Gradient Projection Method for Optimal Control Problems with Nonnegative $\mathcal{L}^2 $ Inputs

SIAM Journal on Control and Optimization ◽

10.1137/s0363012992233652 ◽

1994 ◽

Vol 32 (2) ◽

pp. 516-537 ◽

Author(s):

T. Tian ◽

J. C. Dunn

Keyword(s):

Optimal Control ◽

Projection Method ◽

Optimal Control Problems ◽

Gradient Projection ◽

Gradient Projection Method ◽

Control Problems

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Approximate Gradient Projection Method with Runge-Kutta Schemes for Optimal Control Problems

Computational Optimization and Applications ◽

10.1023/b:coap.0000039490.61195.86 ◽

2004 ◽

Vol 29 (1) ◽

pp. 91-115 ◽

Author(s):

I. Chryssoverghi ◽

J. Coletsos ◽

B. Kokkinis

Keyword(s):

Optimal Control ◽

Projection Method ◽

Optimal Control Problems ◽

Gradient Projection ◽

Gradient Projection Method ◽

Control Problems ◽

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