Linear, Time-Varying Approximations to Nonlinear Dynamical Systems | With Applications in Control and Optimization

Maria Tomas-Rodriguez (u. a.)

ISBN 10: 184996100X / ISBN 13: 9781849961004

Published by Springer London, 2010

About this Item

Linear, Time-Varying Approximations to Nonlinear Dynamical Systems | With Applications in Control and Optimization | Maria Tomas-Rodriguez (u. a.) | Taschenbuch | xii | Englisch | 2010 | Springer London | EAN 9781849961004 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 101352989

Bibliographic Details

• Title: Linear, Time-Varying Approximations to Nonlinear Dynamical Systems | With Applications in Control and Optimization
• Publisher: Springer London
• Publication Date: 2010
• Language: English
• ISBN 10: 184996100X
• ISBN 13: 9781849961004
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 236W x 156H x 27D millimeters 236 millimeters width by 156 millimeters height by 27 millimeters depth
• Weight: 464 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems.

Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

Review

From the reviews:

“The present book is a research monograph written in the style of a graduate text in the broad subject of linear time-varying approximations to nonlinear dynamical systems. ... The book is a self-contained presentation of essential results with rigorous proofs. It is well written with care and a lot of interest. I strongly recommend the book to graduate students and mathematicians as well as engineers.” (Themistocles M. Rassias, Mathematical Reviews, Issue 2011 g)