UID:
almahu_9947366439602882
Format:
1 online resource (281 p.)
ISBN:
1-282-29025-8
,
9786612290251
,
0-08-095674-2
Series Statement:
Mathematics in science and engineering, v. 168
Content:
The stability of input-output dynamical systems
Note:
Description based upon print version of record.
,
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
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2.6 Singular points2.7 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
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ReferencesChapter 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
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Chapter 7. Stability of Nonlinear Multivariable Systems-Passivity Results7.1 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
,
English
Additional Edition:
ISBN 0-12-327680-2
Language:
English
Subjects:
Mathematics
Keywords:
Electronic books
;
Electronic books
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