Stability of Linear Systems

Name: Stability of Linear Systems | Some Aspects of Kinematic Similarity
Brand: Academic Press
Price: 101.0 EUR
Availability: OnlineOnly

Some Aspects of Kinematic Similarity

Harris(Autor*in)

Harris(Herausgeber*in)

Academic Press

Erschienen am 14. Mai 2014

247 Seiten

E-Book

PDF mit Wasserzeichen-DRM

Systemvoraussetzungen

978-0-08-095661-9 (ISBN)

101,00 €inkl. 7% MwSt.

Systemvoraussetzungen

für PDF mit Wasserzeichen-DRM

E-Book Einzellizenz

Als Download verfügbar

Beschreibung

Weitere Details

Weitere Ausgaben

Inhalt

Front Cover
Stability of Linear Systems: Some Aspects of Kinematic Similarity
Copyright Page
Preface
Contents
Chapter 1. Mathematical Preliminaries
1.1 Metric Spaces
1.2 Normed Metric Spaces
1.3 Contraction Mappings
1.4 Linear Operators
1.5 Linear Transformations and Matrices
1.6 Inner Product Spaces and Fourier Series
1.7 Notes
References
Chapter 2. Almost Periodic Functions
2.1 Introduction
2.2 Definitions and Elementary Properties of Almost Periodic Functions
2.3 Mean Values of Almost Periodic Functions and their Fourier Series
2.4 Almost Periodic Functions Depending Uniformly on a Parameter
2.5 Bochner's Criterion
2.6 Limiting Cases of Almost Periodic Functions
2.7 Notes
References
Chapter 3. Properties of Ordinary Differential Equations
3.1 Introduction
3.2 Existence and Uniqueness of Solution
3.3 Linear Ordinary Differential Equations
3.4 Constant Coefficient Differential Equations
3.5 Periodic Coefficients and Floquet Theory
3.6 Notes
3.7 References
Chapter 4. Kinematic Similarity
4.1 Introduction
4.2 Liapunov Transformations and Kinematic Similarity
4.3 Invariants and Canonical Forms
4.4 Necessary and Sufficient Conditions for Kinematic Similarity
4.5 Estimates for Characteristic Exponents
References
Chapter 5. Stability Theory for Nonstationary Systems
5.1 Local Equilibrium Stability Conditions
5.2 Asymptotic Stability
5.3 Matrix Projections and Dichotomies of Linear Systems
5.4 Asymptotic Characteristic Value Stability Theory
5.5 Stability in the Large
5.6 Total Stability and Stability under Disturbances
5.7 Sufficient Conditions for Stability
5.8 Notes and Input-Output Stability
References
Chapter 6. Asymptotic Floquet Theory
6.1 Introduction
6.2 The Cappel-Bohr Lemma and Linear Differential Equations with Almost Periodic Coefficients
6.3 Coppel's Theorem
6.4 Almost Periodic Matrices Containing a Parameter
References
Chapter 7. Linear Systems with Variable Coefficients
7.1 Introduction and Survey of Applications
7.2 Beam Stabilisation in an Alternating Gradient Proton Synchrotron
References
Appendix 1. Existence of Solutions to Periodic and Almost Periodic Differential Systems
Appendix 2. Dichotomies and Kinematic Similarity
Appendix 3. Bibliography
Subject Index

Systemvoraussetzungen

Als PDF speichern Als Link merken