The Robust Maximum Principle
Theory and Applications
(Sprache: Englisch)
Covering key areas of optimal control theory, this book uses new methods to set out a version of OCT's more refined 'maximum principle' aimed at solving the problem of constructing optimal control strategies for uncertain systems with some unknown parameters.
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Produktinformationen zu „The Robust Maximum Principle “
Covering key areas of optimal control theory, this book uses new methods to set out a version of OCT's more refined 'maximum principle' aimed at solving the problem of constructing optimal control strategies for uncertain systems with some unknown parameters.
Klappentext zu „The Robust Maximum Principle “
Covering some of the key areas of optimal control theory (OCT), a rapidly expanding field, the authors use new methods to set out a version of OCT's more refined 'maximum principle.' The results obtained have applications in production planning, reinsurance-dividend management, multi-model sliding mode control, and multi-model differential games. This book explores material that will be of great interest to post-graduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control.
Inhaltsverzeichnis zu „The Robust Maximum Principle “
- Preface- Introduction
I Topics of Classical Optimal Control
1 Maximum Principle
2 Dynamic Programming
3 Linear Quadratic Optimal Control
4 Time-Optimization Problem
II Tent Method
5 Tent Method in Finite Dimensional Spaces
6 Extremal Problems in Banach Space
III Robust Maximum Principle for Deterministic Systems
7 Finite Collection of Dynamic Systems
8 Multi-Model Bolza and LQ-Problem
9 Linear Multi-Model Time-Optimization
10 A Measured Space as Uncertainty Set
11 Dynamic Programming for Robust Optimization
12 Min-Max Sliding Mode Control
13 Multimodel Differential Games
IV Robust Maximum Principle for Stochastic Systems
14 Multi-Plant Robust Control
15 LQ-Stochastic Multi-Model Control
16 A Compact as Uncertainty Set
- References
- Index
Bibliographische Angaben
- Autoren: Alexander S. Poznyak , Vladimir G. Boltyanski
- 2012, 456 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Birkhäuser Boston
- ISBN-10: 0817681515
- ISBN-13: 9780817681517
- Erscheinungsdatum: 05.11.2011
Sprache:
Englisch
Rezension zu „The Robust Maximum Principle “
From the reviews:"This good structured and really clearly written book is worth reading both for readers interested in theory and applications of optimal control. For theory, since robustness embraces dependencies and sensitivities with respect to deterministic or stochastic uncertainties, and for applications, since robustness of a method is responsible for a good use of numerical results. ... The special technique specific for stochastic calculus is fully used in the last section of the book and supports the recommendation that it is a pleasure to read this book." (Alfred Göpfert, Zentralblatt MATH, Vol. 1239, 2012)
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