Description |
1 online resource (xi, 268 pages) : illustrations |
Series |
Mathematics in science and engineering, 0076-5392 ; v. 168 |
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Mathematics in science and engineering ; v. 168.
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Contents |
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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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 |
Summary |
The stability of input-output dynamical systems |
Analysis |
Dynamical systems Stability Analysis Matrices Inners |
Bibliography |
Includes bibliographical references (pages 259-263) and index |
Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2010 HathiTrust Digital Library committed to preserve MiAaHDL pda |
Subject |
System analysis
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Stability.
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Linear topological spaces.
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Systems Analysis
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systems analysis.
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stability.
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SCIENCE -- System Theory.
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TECHNOLOGY & ENGINEERING -- Operations Research.
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Linear topological spaces
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Stability
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System analysis
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Sistemas Dinamicos.
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Form |
Electronic book
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Author |
Valença, J. M. E.
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ISBN |
9780123276803 |
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0123276802 |
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9780080956749 |
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0080956742 |
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1282290258 |
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9781282290259 |
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