Stock Image

Bilinear Control Systems: Matrices in Action

David Elliott

0 ratings by Goodreads
ISBN 10: 9048181690 / ISBN 13: 9789048181698
Published by Springer
New Condition: New Soft cover
From BuySomeBooks (Las Vegas, NV, U.S.A.)

AbeBooks Seller Since May 21, 2012

Quantity Available: > 20

Buy New
List Price: US$ 119.00
Price: US$ 162.51 Convert Currency
Shipping: Free Within U.S.A. Destination, Rates & Speeds
Add to basket

30 Day Return Policy

About this Item

281 pages. Dimensions: 9.2in. x 6.1in. x 0.7in.This book introduces and surveys bilinear control systems theory from a mathematical viewpoint. The exposition is at the first-year graduate level. Topics include an introduction to Lie algebras, matrix groups and semigroups; the controllability, stabilization, and observability of bilinear systems; nonlinear systems analytically equivalent to bilinear systems; series representations for input-outputmappings; and random inputs. To assist the reader there are exercises; Mathematica scripts; and appendices on matrix analysis, differentiable maps and manifolds, Lie algebra, and Lie groups. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9789048181698

Ask Seller a Question

Bibliographic Details

Title: Bilinear Control Systems: Matrices in Action

Publisher: Springer

Binding: Paperback

Book Condition:New

Book Type: Paperback

About this title

Synopsis:

The mathematical theory of control became a ?eld of study half a century ago in attempts to clarify and organize some challenging practical problems and the methods used to solve them. It is known for the breadth of the mathematics it uses and its cross-disciplinary vigor. Its literature, which can befoundinSection93ofMathematicalReviews,wasatonetimedominatedby the theory of linear control systems, which mathematically are described by linear di?erential equations forced by additive control inputs. That theory led to well-regarded numerical and symbolic computational packages for control analysis and design. Nonlinear control problems are also important; in these either the - derlying dynamical system is nonlinear or the controls are applied in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical work on nonlinear control problems based on di?erential manifold theory, nonlinear analysis, and several other mathematical disciplines. Many of the problems that had been solved in linear control theory, plus others that are new and distinctly nonlinear, have been addressed; some resulting general de?nitions and theorems are adapted in this book to the bilinear case.

From the Back Cover:

A control system is called bilinear if it is described by linear differential equations in which the control inputs appear as coefficients. The study of bilinear control systems began in the 1960s and has since developed into a fascinating field, vital for the solution of many challenging practical control problems. Its methods and applications cross inter-disciplinary boundaries, proving useful in areas as diverse as spin control in quantum physics and the study of Lie semigroups.

The first half of the book is based upon matrix analysis, introducing Lie algebras and the Campbell-Baker-Hausdorff Theorem. Individual chapters are dedicated to topics such as discrete-time systems, observability and realization, examples from science and engineering, linearization of nonlinear systems, and input-output analysis.

Written by one of the leading researchers in the field in a clear and comprehensible manner and laden with proofs, exercises and Mathematica scripts, this involving text will be a vital and thorough introduction to the subject for first-year graduate students of control theory. It will also be of great value to academics and researchers with an interest in matrix analysis, Lie algebra, and semigroups.

"About this title" may belong to another edition of this title.

Store Description

BuySomeBooks is great place to get your books online. With over eight million titles available we're sure to have what you're looking for. Despite having a large selection of new books available for immediate shipment and excellent customer service, people still tell us they prefer us because of our prices.

Visit Seller's Storefront

Terms of Sale:

We guarantee the condition of every book as it's described on the Abebooks web
sites. If you're dissatisfied with your purchase (Incorrect Book/Not as
Described/Damaged) or if the order hasn't arrived, you're eligible for a refund
within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond within 2 business days.

BuySomeBooks is operated by Drive-On-In, Inc., a Nevada co...

More Information
Shipping Terms:

Orders usually ship within 1-2 business days. Books are shipped from multiple locations so your order may arrive from Las Vegas,NV, Roseburg,OR, La Vergne,TN, Momence,IL, or Commerce,GA.

List this Seller's Books

Payment Methods
accepted by seller

Visa Mastercard American Express