The Stability of Input-Output Dynamical Systems
Published on 14. May 2014
281 pages
978-0-08-095674-9 (ISBN)
Description
The Stability of Input-Output Dynamical Systems
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
ISBN-13
978-0-08-095674-9 (9780080956749)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
C. J. Harris | J.M.E. Valenca
The Stability of Input-output Systems
Book
01/1983
Academic Press
€66.24
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Content
- Front Cover
- The Stability of Input-Output Dynamical Systems
- Copyright Page
- Contents
- Preface
- Chapter 1. Mathematical Preliminaries
- 1.1 Introduction
- 1.2 Basic topological notions
- 1.3 Topological vector spaces
- 1.4 Fixed point theorems
- 1.5 Measures and function spaces
- 1.6 Dual spaces
- 1.7 Notes
- References
- Chapter 2. Riemann Surfaces and the Generalized Principal of the Argument
- 2.1 Introduction
- 2.2 Complex integration and Cauchy's theorem
- 2.3 Riemann surfaces
- 2.4 Minimum contours and algebroid Riemann surfaces
- 2.5 Analytic functions and integration in algebroid Riemann surfaces
- 2.6 Singular points
- 2.7 The Generalized Principle of the Argument
- References
- Chapter 3. Representation of Multipliers
- 3.1 Introduction
- 3.2 Representation of multipliers in L2 and L2n
- 3.3 Convolution algebra M(R+)
- 3.4 Representation of multipliers in L1 and L1n
- 3.5 Representation of multipliers in L8
- 3.6 Representation theory in Xp-spaces
- References
- Chapter 4. Linear Input-Output Stability Theory
- 4.1 Introduction
- 4.2 General analytic formulation of stability
- 4.3 Graphical stability criteria for L2-systems
- 4.4 Graphical stability criteria for multivariable systems
- 4.5 Notes
- References
- Chapter 5. Extended Space Theory in the Study of System operators
- 5.1 Introduction
- 5.2 Fundamental results
- 5.3 Operators in extended spaces
- 5.4 Well posedness and feedback systems
- 5.5 Passivity in feedback systems
- 5.6 Theory of multipliers
- 5.7 Sectoricity
- 5.8 Notes
- References
- Chapter 6. Stability of Nonlinear Multivariable Systems-Circle Criteria
- 6.1 Introduction
- 6.2 Small gain theorems
- 6.3 Intermediate small gain theorem
- 6.4 Incremental gain theorem
- 6.5 An M-matrix stability criterion
- 6.6 System diagonaliszation and design
- 6.7 Notes
- References
- Chapter 7. Stability of Nonlinear Multivariable Systems-Passivity Results
- 7.1 Passivity stability theorems
- 7.2 Off-axis circle criteria
- 7.3 Off-axis circle criteria-multiplier factorization
- 7.4 Multivariable Popov criterion
- 7.5 Notes
- References
- Bibliography
