Turnpike Phenomenon and Infinite Horizon Optimal Control
Springer International Publishing (Verlag)
978-3-319-35421-7 (ISBN)
This book is devoted to the study of the turnpike phenomenon and describes the existence of solutions for a large variety of infinite horizon optimal control classes of problems. Chapter 1 provides introductory material on turnpike properties. Chapter 2 studies the turnpike phenomenon for discrete-time optimal control problems. The turnpike properties of autonomous problems with extended-value integrands are studied in Chapter 3. Chapter 4 focuses on large classes of infinite horizon optimal control problems without convexity (concavity) assumptions. In Chapter 5, the turnpike results for a class of dynamic discrete-time two-player zero-sum game are proven.
This thorough exposition will be very useful for mathematicians working in the fields of optimal control, the calculus of variations, applied functional analysis and infinite horizon optimization. It may also be used as a primary text in a graduate course in optimal control or as supplementary text for a variety of courses in other disciplines. Researchers in other fields such as economics and game theory, where turnpike properties are well known, will also find this Work valuable.
Preface.- 1. Introduction.- 2. Turnpike Properties of Discrete-Time Problems.- 3. Variational Problems with Extended-Value Integrands.- 4. Infinite Horizon Problems.- 5. Dynamic Discrete Time Zero-Sum Games.- References.- Index.
| Erscheinungsdatum | 16.09.2016 |
|---|---|
| Reihe/Serie | Springer Optimization and Its Applications |
| Zusatzinfo | IX, 370 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Wirtschaft ► Betriebswirtschaft / Management | |
| Schlagworte | Baire category • Calculus of Variations • Calculus of Variations and Optimal Control • constrained variational problems • Economic Dynamics • Management and management techniques • Mathematics • mathematics and statistics • nonconvex optimal control • Operational Research • Operations Research, Management Science • Optimization • turnpike property |
| ISBN-10 | 3-319-35421-3 / 3319354213 |
| ISBN-13 | 978-3-319-35421-7 / 9783319354217 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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