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
Main Authors: Menini, Laura (Author), Tornambè, Antonio (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: London : Springer London, 2011.
Subjects:
Online Access:Full Text via HEAL-Link
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.