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- catalog abstract "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.".
- catalog contributor b11418254.
- catalog created "1999.".
- catalog date "1999".
- catalog date "1999.".
- catalog dateCopyrighted "1999.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog 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.".
- catalog extent "xii, 215 p. :".
- catalog identifier "3540662146 (alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1707.".
- catalog isPartOf "Lecture notes in mathematics ; 1707".
- catalog issued "1999".
- catalog issued "1999.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog subject "510 s 629.8/312 21".
- catalog subject "Control theory.".
- catalog subject "Economics.".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "QA3 .L28 no. 1707 QA402.3".
- catalog subject "Systems theory.".
- catalog tableOfContents "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.".
- catalog title "Numerical methods for optimal control problems with state constraints / R. Pytlak.".
- catalog type "text".