Symmetries and Semi-invariants in the Analysis of Nonlinear Systems (Paperback, 2011 ed.)

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.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Release date:	August 2014
First published:	2011
Authors:	Laura Menini • Antonio Tornambe
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Paperback
Pages:	340
Edition:	2011 ed.
ISBN-13:	978-1-4471-6241-4
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > Dynamics & vibration Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > General Promotions
LSN:	1-4471-6241-2
Barcode:	9781447162414

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