Linear, Time-varying Approximations to Nonlinear Dynamical Systems: with Applications in Control and Optimization

Author:   Maria Tomas-Rodriguez ,  Stephen P. Banks
Publisher:   Springer London Ltd
Edition:   2010 ed.
Volume:   400
ISBN:  

9781849961004


Pages:   300
Publication Date:   04 February 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Linear, Time-varying Approximations to Nonlinear Dynamical Systems: with Applications in Control and Optimization


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Overview

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.

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Author:   Maria Tomas-Rodriguez ,  Stephen P. Banks
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   2010 ed.
Volume:   400
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.980kg
ISBN:  

9781849961004


ISBN 10:   184996100
Pages:   300
Publication Date:   04 February 2010
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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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)


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