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Symmetries and Semi invariants in the Analysis of Nonlinear Systems 1st Edition by Laura Menini, Antonio Tornambe ISBN 3834825050 9783834825056

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Lp Theory of Cylindrical Boundary Value Problems An Operator Valued Fourier Multiplier and Functional Calculus Approach 1st Edition Tobias Nau (Auth.) Digital Instant Download

Author(s): Tobias Nau (auth.)
ISBN(s): 9783834825056, 3834825050
Edition: 1
File Details: PDF, 1.46 MB
Year: 2012
Language: english
SKU: EB-2629576 Category: Tag:

Symmetries and Semi-invariants in the Analysis of Nonlinear Systems 1st Edition by Laura Menini, Antonio Tornambe – Ebook PDF Instant Download/Delivery: 3834825050, 9783834825056
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ISBN 10: 3834825050 
ISBN 13: 9783834825056
Author: Laura Menini, Antonio Tornambe

This book details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential geometry provides the tools for this, such as first-integrals or orbital symmetries, together with normal forms of vector fields and of maps. A crucial point of the analysis is linearization by state immersion. The theory is developed for general nonlinear systems and specialized for the class of Hamiltonian systems. By using the strong geometric structure of Hamiltonian systems, the results proposed are stated in a different, less complex and more easily comprehensible manner. They are applied to physically motivated systems, to demonstrate how much insight into known properties is gained using these techniques. Various control systems applications of the techniques are characterized including: computation of the flow of nonlinear systems; computation of semi-invariants; computation of Lyapunov functions for stability analysis and observer design.

Symmetries and Semi-invariants in the Analysis of Nonlinear Systems 1st Table of contents:

1. Notation and Background
2. Analysis of Linear Systems
3. Analysis of Continuous-Time Nonlinear Systems
4. Analysis of Discrete-Time Nonlinear Systems
5. Analysis of Hamiltonian Systems
6. Lie Algebras
7. Linearization by State Immersion
8. Stability Analysis

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Laura Menini,Antonio Tornambe,Symmetries,Semi invariants,Analysis,Nonlinear Systems