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

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 <U+0013&g...

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Bibliographic Details
Main Authors: Toms̀-Rodrg̕uez, Mara̕. (Author), Banks, Stephen P. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: London : Springer London, 2010.
Series:Lecture Notes in Control and Information Sciences, 411
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-84996-101-1
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245 1 0 |a Linear, Time-varying Approximations to Nonlinear Dynamical Systems  |b with Applications in Control and Optimization /  |c by Mara̕ Toms̀-Rodrg̕uez, Stephen P. Banks.  |h [electronic resource] : 
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490 1 # |a Lecture Notes in Control and Information Sciences,  |v 411  |x 0170-8643 ; 
505 0 # |a Introduction -- Basic Approximation Theory -- Linear, Time-varying Systems -- General Spectral Theory of Nonlinear Systems -- Spectral Assignment in Linear, Time-varying Systems -- Optimal Control of Nonlinear Systems -- Application to Nonlinear Sliding-mode Control -- Connection with Fixed-point Theory and Existence of Periodic Solutions -- Generalisations to Partial Differential Equations -- Summary, Conclusions and Prospects for Development -- Appendices. 
520 # # |a 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 <U+0013> well-known <U+0013> 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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