Numerical Methods for Optimal Control Problems with State Constraints PDF Download
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Author: Radoslaw Pytlak
Publisher: Springer Science & Business Media
ISBN: 9783540662143
Category : Science
Languages : en
Pages : 244
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Book Description
While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature.
Author: Radoslaw Pytlak
Publisher: Springer Science & Business Media
ISBN: 9783540662143
Category : Science
Languages : en
Pages : 244
Get Book Here
Book Description
While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature.
Author: M. Alexandre
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Radoslaw Pytlak
Publisher: Springer
ISBN: 3540486623
Category : Science
Languages : en
Pages : 224
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Book Description
While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature.
Author: Olaf Benedix
Publisher:
ISBN:
Category :
Languages : en
Pages : 157
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Book Description
Author: Irwin Yousept
Publisher: Cuvillier Verlag
ISBN: 3867276684
Category :
Languages : en
Pages : 26
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Book Description
Author: Anton Schiela
Publisher:
ISBN:
Category : Constrained optimization
Languages : en
Pages : 28
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Book Description
Abstract: "We consider first order optimality conditions for state constrained optimal control problems. In particular we study the case where the state equation has not enough regularity to admit existence of a Slater point in function space. We overcome this difficulty by a special transformation. Under a density condition we show existence of Lagrange multipliers, which have a representation via measures and additional regularity properties."
Author: Francois Xavier Litt
Publisher:
ISBN:
Category :
Languages : en
Pages : 228
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Book Description
Author: T. Herezata-Ala
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: E. Casas
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
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Book Description
