Optimal Control of ODEs and DAEs / / Matthias Gerdts.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• VerfasserIn: Gerdts, Matthias,
• MitwirkendeR: Gerdts, Matthias,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©2012
• Year of Publication: 2011
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (458 p.)
• Other title: Frontmatter --; Preface --; Contents --; Chapter 1. Introduction --; Chapter 2. Infinite Optimization Problems --; Chapter 3. Local Minimum Principles --; Chapter 4. Discretization Methods for ODEs and DAEs --; Chapter 5. Discretization of Optimal Control Problems --; Chapter 6. Real-Time Control --; Chapter 7. Mixed-Integer Optimal Control --; Chapter 8. Function Space Methods --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110249996; 9783110238570; 9783110238471; 9783110637205; 9783110261189; 9783110261233; 9783110261202
• DOI: 10.1515/9783110249996
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Matthias Gerdts.

The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ordinary differential equations and differential-algebraic equations. An emphasis is placed on the interplay between the continuous optimal control problem, which typically is defined and analyzed in a Banach space setting, and discrete optimal control problems, which are obtained by discretization and lead to finite dimensional optimization problems. The book addresses primarily master and PhD students as well as researchers in applied mathematics, but also engineers or scientists with a good background in mathematics and interest in optimal control. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Examples are provided for illustration purposes.