The stability of input-output dynamical systems /

Harris, C. J.

The stability of input-output dynamical systems / C.J. Harris, J.M.E. Valença. - London ; New York : Academic Press, 1983. - 1 online resource (xi, 268 pages) : illustrations. - Mathematics in science and engineering, v. 168 0076-5392 ; . - Mathematics in science and engineering ; v. 168. .

Includes bibliographical references (pages 259-263) and index.

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 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 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

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The stability of input-output dynamical systems.


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9780123276803 (electronic bk.) 0123276802 (electronic bk.) 9780080956749 (electronic bk.) 0080956742 (electronic bk.) 1282290258 9781282290259


System analysis.
Stability.
Linear topological spaces.
Systems Analysis
Analyse de systèmes.
Stabilité.
Espaces vectoriels topologiques.
systems analysis.
stability.
SCIENCE--System Theory.
TECHNOLOGY & ENGINEERING--Operations Research.
Linear topological spaces.
Stability.
System analysis.
Sistemas Dinamicos.

Dynamical systems Stability Analysis Matrices Inners


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QA402 / .H338 1983eb

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