The stability of input-output dynamical systems / C.J. Harris, J.M.E. Valença.

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

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The stability of input-output dynamical systems.

Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL

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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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