Geometric Control Theory (Cambridge Studies in Advanced Mathematics, Series Number 52) 1st Edition by Velimir Jurdjevic (PDF)

Description

This book describes the mathematical theory inspired by the irreversible nature of time-evolving events. The first part of the book deals with the ability to steer a system from any point of departure to any desired destination. The second part deals with optimal control–the problem of finding the best possible course. The author demonstrates an overlap with mathematical physics using the maximum principle, a fundamental concept of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. He draws applications from geometry, mechanics, and control of dynamical systems. The geometric language in which the author expresses the results allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.

User’s Reviews

Editorial Reviews: Review “…remarkably well-written…I strongly recommend GCT for the use of teachers and graduate students of control theory, mechanics and mathematics (especially dynamical systems and differential geometry), as well as for the mathematician new to control theory. It is a helpful guide for anyone engaged in research or applications of optimal control.” IEEE Transactions on Automatic Control Book Description A modern version of the calculus of variations, encompassing geometric mechanics, differential geometry, and optimal control.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is a typical one that misleads readers. The way this book handles Hamiltonian reduction theory in the context of optimal control is very clumsy. Hamiltonian reduction theory has been well established since sixties. This book only reflects the author’s stubbornness against learning the elementary reduction theory. Jurdjevic pretends to create a reduction theory without citing tons of relevant books and papers. What’s worse is that he does it very poorly.

⭐

⭐

Keywords

Free Download Geometric Control Theory (Cambridge Studies in Advanced Mathematics, Series Number 52) 1st Edition in PDF format
Geometric Control Theory (Cambridge Studies in Advanced Mathematics, Series Number 52) 1st Edition PDF Free Download
Download Geometric Control Theory (Cambridge Studies in Advanced Mathematics, Series Number 52) 1st Edition 2008 PDF Free
Geometric Control Theory (Cambridge Studies in Advanced Mathematics, Series Number 52) 1st Edition 2008 PDF Free Download
Download Geometric Control Theory (Cambridge Studies in Advanced Mathematics, Series Number 52) 1st Edition PDF
Free Download Ebook Geometric Control Theory (Cambridge Studies in Advanced Mathematics, Series Number 52) 1st Edition