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Author Pytlak, Radosław, 1956-
Title Numerical methods for optimal control problems with state constraints / Radosaw Pytlak.
Imprint Berlin ; New York : Springer, 1999.

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Author Pytlak, Radosław, 1956-
Series Lecture notes in mathematics, 0075-8434 ; 1707.
Lecture notes in mathematics (Springer-Verlag) ; 1707.
Subject Control theory.
Mathematical optimization.
Numerical analysis.
Alt Name Ohio Library and Information Network.
Description 1 online resource (xii, 215 pages) : illustrations.
Bibliography Note Includes bibliographical references (p. ]197]-207) and index
Contents Preface -- Introduction -- Estimates on Solutions to Differential Equations and Their Approximations -- A First Order Method -- Implementation -- A Second Order Method -- Runge-Kutta Based Procedure for Optimal Control f Differential -- Algebraic Equations -- A Primal Range-Space Method for Piecewise-Linear Quadratic Programming -- References -- List of Symbols -- Subject Index.
Access Available to OhioLINK libraries
Summary 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.
Reproduction Electronic reproduction. Columbus, OH : OhioLINK, 2008.
System Details Mode of access: World Wide Web
ISBN 3540662146 (acid-free paper)
9783540662143 (acid-free paper)
OCLC # 685362550
Link OhioLINK electronic book center (OCoLC)180989150.
SpringerLink (OCoLC)43927870.
Additional Format Print version: Pytlak, Radosaw, 1956- Numerical methods for optimal control problems with state constraints. Berlin ; New York : Springer, 1999 3540662146 (DLC) 99016712 (OCoLC)41540155.

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