Symmetries and Semi-invariants in the Analysis of Nonlinear Systems

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-integr...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Menini, Laura (Author), Tornambè, Antonio (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Subjects:
Control engineering.
System theory.
Control theory.
Multibody systems.
Vibration.
Mechanics, Applied.
Control and Systems Theory.
Systems Theory, Control .
Multibody Systems and Mechanical Vibrations.
Online Access:Texto Completo
Table of Contents:
  • 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.

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