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Stability and sensitivity analysis for optimal control problems with control-state constraints

100%

Malanowski K.

Instytut Matematyczny Polskiej Akademii Nauk

EN

A family of parameter dependent optimal control problems $(O)_{h}$ with smooth data for nonlinear ODEs is considered. The problems are subject to pointwise mixed control-state constraints. It is assumed that, for a reference value h₀ of the parameter, a solution of $(O)_{h₀}$ exists. It is shown that if (i) independence, controllability and coercivity conditions are satisfied at the reference solution, then (ii) for each h from a neighborhood of h₀, a locally unique solution to $(O)_{h}$ and the associated Lagrange multiplier exist, are Lipschitz continuous and Bouligand differentiable functions of the parameter. If, in addition, the dependence of the data on the parameter is strong, then (ii) implies (i).

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Preface to the special issue on ''Theoretical and numerical aspects of optimal control''

49%

Malanowski K., Tröltzsch F.

Control and Cybernetics

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2008

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tom 37

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nr 2

247

3

Book review: "Variational analysis and generalized differentiation. I Basic Theory, II Applications"

48%

Malanowski K.

Control and Cybernetics

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2006

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tom 35

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nr 2

497-499

4

Preface

25%

Ioffe A., Malanowski K., Tröltzsch F.

Control and Cybernetics

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2009

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tom 38

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nr 4B

1275-1276

5

Preface

25%

Ioffe A., Malanowski K., Tröltzsch F.

Control and Cybernetics

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2009

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tom 38

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nr 4A

915-916

Ograniczanie wyników

4 Control and Cybernetics

5 Malanowski K.

3 Tröltzsch F.

2 Ioffe A.

2 2009

1 2008

1 2006

1 2001

Stability and sensitivity analysis for optimal control problems with control-state constraints

Preface to the special issue on ''Theoretical and numerical aspects of optimal control''

Book review: "Variational analysis and generalized differentiation. I Basic Theory, II Applications"

Preface

Preface