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Linear, Time-varying Approximations to Nonlinear Dynamical Systems

with Applications in Control and Optimization
Buch | Softcover
300 Seiten
2010
Springer London Ltd (Verlag)
978-1-84996-100-4 (ISBN)

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Linear, Time-varying Approximations to Nonlinear Dynamical Systems - Maria Tomas-Rodriguez, Stephen P. Banks
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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.
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.

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.

Erscheint lt. Verlag 4.2.2010
Reihe/Serie Lecture Notes in Control and Information Sciences ; 400
Zusatzinfo XII, 300 p.
Verlagsort England
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Naturwissenschaften Physik / Astronomie Thermodynamik
Technik Elektrotechnik / Energietechnik
Technik Maschinenbau
ISBN-10 1-84996-100-X / 184996100X
ISBN-13 978-1-84996-100-4 / 9781849961004
Zustand Neuware
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