Linear, Time-varying Approximations to Nonlinear Dynamical Systems: with Applications in Control and Optimization: 400 - Brossura

Libro 4 di 40: Lecture Notes in Control and Information Sciences

Tomas-Rodriguez, Maria; Banks, Stephen P.

 
9781849961004: Linear, Time-varying Approximations to Nonlinear Dynamical Systems: with Applications in Control and Optimization: 400
Brossura
ISBN 10: 184996100X ISBN 13: 9781849961004
Casa editrice: Springer, 2010

Sinossi

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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Recensione

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)

Contenuti

to Nonlinear Systems.- Linear Approximations to Nonlinear Dynamical Systems.- The Structure and Stability of Linear, Time-varying Systems.- General Spectral Theory of Nonlinear Systems.- Spectral Assignment in Linear, Time-varying Systems.- Optimal Control.- Sliding Mode Control for Nonlinear Systems.- Fixed Point Theory and Induction.- Nonlinear Partial Differential Equations.- Lie Algebraic Methods.- Global Analysis on Manifolds.- Summary, Conclusions and Prospects for Development.

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Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
184996100X
ISBN 13 
9781849961004
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
312
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9781849961028: Linear, Time-varying Approximations to Nonlinear Dynamical Systems

Edizione in evidenza

ISBN 10:  1849961026 ISBN 13:  9781849961028
Casa editrice: Springer, 2010
Brossura