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03558nam a22006135i 4500 |
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978-1-84996-101-1 |
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100301s2010 xxk| s |||| 0|eng d |
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|a 9781849961011
|9 978-1-84996-101-1
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|a 10.1007/978-1-84996-101-1
|2 doi
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|a 515.39
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|a 515.48
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|a Tomás-Rodríguez, María.
|e author.
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|a Linear, Time-varying Approximations to Nonlinear Dynamical Systems
|h [electronic resource] :
|b with Applications in Control and Optimization /
|c by María Tomás-Rodríguez, Stephen P. Banks.
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|a London :
|b Springer London,
|c 2010.
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|a XII, 300 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Control and Information Sciences,
|x 0170-8643 ;
|v 411
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|a 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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|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 – 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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|a Mathematics.
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|a Dynamics.
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|a Ergodic theory.
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|a System theory.
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|a Mathematical optimization.
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|a Operations research.
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|a Management science.
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|a Statistical physics.
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|a Dynamical systems.
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|a Control engineering.
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|a Mathematics.
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|a Dynamical Systems and Ergodic Theory.
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|a Operations Research, Management Science.
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|a Control.
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|a Optimization.
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|a Statistical Physics, Dynamical Systems and Complexity.
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|a Systems Theory, Control.
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|a Banks, Stephen P.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9781849961004
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830 |
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|a Lecture Notes in Control and Information Sciences,
|x 0170-8643 ;
|v 411
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856 |
4 |
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|u http://dx.doi.org/10.1007/978-1-84996-101-1
|z Full Text via HEAL-Link
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|a ZDB-2-ENG
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950 |
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|a Engineering (Springer-11647)
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