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Symmetries and Semi-invariants in the Analysis of Nonlinear Systems (Record no. 10052)

000 -LEADER
fixed length control field 03805nam a22004215i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310143331.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110506s2011 xxk| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780857296122
978-0-85729-612-2
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 629.8
Edition number 23
264 #1 -
-- London :
-- Springer London,
-- 2011.
912 ## -
-- ZDB-2-ENG
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Menini, Laura.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Symmetries and Semi-invariants in the Analysis of Nonlinear Systems
Medium [electronic resource] /
Statement of responsibility, etc by Laura Menini, Antonio Tornambè.
300 ## - PHYSICAL DESCRIPTION
Extent X, 324p. 2 illus. in color.
Other physical details online resource.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Part I: Theory -- Introduction -- Notation and Background -- Analysis of Linear Systems -- Analysis of Nonlinear Systems -- Analysis of Hamiltonian Systems -- Linearization by State Immersion -- Linearization by State Immersion of Hamiltonian Systems -- Extensions Based on the Use of Orbital Symmetries -- Part II: Applications to Control Systems -- Computation of the Flow of Linearizable Systems -- Semi-invariants -- Stability Analysis -- Observer Design -- Exact Sampling of Continuous-time Systems -- Applications to Physically Motivated Systems.
520 ## - SUMMARY, ETC.
Summary, etc Symmetries and Semi-invariants in the Analysis of Nonlinear Systems details the analysis of continuous- and discrete-time dynamical systems described by differential and difference equations respectively. Differential geometry provides the essential tools for the analysis, tools such as first-integrals or orbital symmetries, together with normal forms of vector fields and of maps. The use of such tools allows the solution of some important problems, studied in detail in the text, which include linearization by state immersion and the computation of nonlinear superposition formulae for nonlinear systems described by solvable Lie algebras. The theory is developed for general nonlinear systems and, in view of their importance for modeling physical systems, specialized for the class of Hamiltonian systems. By using the strong geometric structure of Hamiltonian systems, the results proposed are stated in a quite different, less complex and more easily comprehensible manner. Throughout the text the results are illustrated by many examples, some of them being physically motivated systems, so that the reader can appreciate how much insight is gained by means of 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. Symmetries and Semi-invariants in the Analysis of Nonlinear Systems will be of interest to researchers and graduate students studying control theory, particularly with respect to nonlinear systems. All the necessary background and mathematical derivations are related in detail but in a simple writing style that makes the book accessible in depth to readers having a standard knowledge of real analysis, linear algebra and systems theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Engineering.
Topical term or geographic name as entry element Systems theory.
Topical term or geographic name as entry element Vibration.
Topical term or geographic name as entry element Engineering.
Topical term or geographic name as entry element Control.
Topical term or geographic name as entry element Systems Theory, Control.
Topical term or geographic name as entry element Vibration, Dynamical Systems, Control.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Tornambè, Antonio.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780857296115
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-85729-612-2
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-03-27AUM Main Library2014-03-27 2014-03-27 E-Book   AUM Main Library629.8