Symmetries and Semi-invariants in the Analysis of Nonlinear Systems

• Κύριοι συγγραφείς: Menini, Laura (Συγγραφέας), Tornambè, Antonio (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2011.
• Θέματα: Engineering.; System theory.; Vibration.; Dynamical systems.; Dynamics.; Control engineering.; Control.; Systems Theory, Control.; Vibration, Dynamical Systems, Control.

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...

Πίνακας περιεχομένων:

• 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.