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1. |
Record Nr. |
UNINA9910891489503321 |
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Titolo |
Advances in nanoparticles |
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Pubbl/distr/stampa |
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Irvine, CA, : Scientific Research Publishing, Inc |
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ISSN |
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Disciplina |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Periodico |
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Note generali |
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2. |
Record Nr. |
UNINA9910146309303321 |
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Autore |
Pytlak Radosław <1956-> |
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Titolo |
Numerical Methods for Optimal Control Problems with State Constraints / / by Radoslaw Pytlak |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1999 |
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ISBN |
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Edizione |
[1st ed. 1999.] |
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Descrizione fisica |
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1 online resource (XV, 218 p.) |
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Collana |
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Lecture Notes in Mathematics, , 1617-9692 ; ; 1707 |
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Disciplina |
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Soggetti |
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System theory |
Control theory |
Mathematical optimization |
Calculus of variations |
Numerical analysis |
Econometrics |
Systems Theory, Control |
Calculus of Variations and Optimization |
Numerical Analysis |
Quantitative Economics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Estimates on solutions to differential equations and their approximations -- First order method -- Implementation -- Second order method -- Runge-Kutta based procedure for optimal control of differential— Algebraic Equations. |
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Sommario/riassunto |
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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. |
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