Optimal control of ODEs and DAEs

by Gerdts, Matthias

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Title Statements

Full title :Optimal control of ODEs and DAEs.

Edition Statements

Publication Date:2012.

Publication Statements

Publisher(s):De Gruyter
Place of Publication:Berlin
Language:eng
Publication Date:2012.

The Physical Object

Description:458 blz. ; : .. cm.

Edition Identifiers

ISBN:9783110249958, 3110249952
oclc:ocn840459341

Machine generated contents note: 1.Introduction -- 1.1.DAE Optimal Control Problems -- 1.1.1.Perturbation Index -- 1.1.2.Consistent Initial Values -- 1.1.3.Index Reduction and Stabilization -- 1.2.Transformation Techniques -- 1.2.1.Transformation to Fixed Time Interval -- 1.2.2.Transformation to Autonomous Problem -- 1.2.3.Transformation of Tschebyscheff Problems -- 1.2.4.Transformation of L1-Minimization Problems -- 1.2.5.Transformation of Interior-Point Constraints -- 1.3.Overview -- 1.4.Exercises -- 2.Infinite Optimization Problems -- 2.1.Function Spaces -- 2.1.1.Topological Spaces, Banach Spaces, and Hilbert Spaces -- 2.1.2.Mappings and Dual Spaces -- 2.1.3.Derivatives, Mean-Value Theorem, and Implicit Function Theorem -- 2.1.4.Lp-Spaces, Wq,p-Spaces, Absolutely Continuous Functions, Functions of Bounded Variation -- 2.2.The DAE Optimal Control Problem as an Infinite Optimization Problem -- 2.3.Necessary Conditions for Infinite Optimization Problems -- 2.3.1.Existence of a Solution -- 2.3.2.Conic Approximation of Sets -- 2.3.3.Separation Theorems -- 2.3.4.First Order Necessary Optimality Conditions of Fritz John Type -- 2.3.5.Constraint Qualifications and Karush-Kuhn-Tucker Co…