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The Robust Maximum Principle Vladimir G. Boltyanski

The Robust Maximum Principle By Vladimir G. Boltyanski

The Robust Maximum Principle by Vladimir G. Boltyanski


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Summary

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.

The Robust Maximum Principle Summary

The Robust Maximum Principle: Theory and Applications by Vladimir G. Boltyanski

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.

The Robust Maximum Principle Reviews

From the reviews:

This book is a useful and positive contribution to the literature of optimal control theory. ... The book covers a rather expansive collection of topics, individual topics are usually well motivated, and most chapters have concluding and, on occasion, historical remarks to provide useful perspective to the reader. ... more suitable as a reference for researchers ... . (Kevin A. Grasse, Mathematical Reviews, September, 2013)

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 Goepfert, Zentralblatt MATH, Vol. 1239, 2012)

Table of Contents

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 Extrenal 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.

Additional information

NPB9780817681517
9780817681517
0817681515
The Robust Maximum Principle: Theory and Applications by Vladimir G. Boltyanski
New
Hardback
Birkhauser Boston Inc
2011-11-05
432
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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