Nonlinear system theory： the Volterra-Wiener approach .part1.rar

Nonlinear System Theory:The Volterra/Wiener Approach

Author:Wilson J. Rugh
Publisher:The Johns Hopkins University Press, 1981
Price:$32.50

Contents:
PREFACE
CHAPTER 1  Input/Output Representations in the Time Domain     1
1.1  Linear Systems     1
1.2  Homogeneous Nonlinear Systems     3
1.3  Polynomial and Volterra Systems     18
1.4  Interconnections of Nonlinear Systems     21
1.5  Heuristic and Mathematical Aspects     34
1.6  Remarks and References     37
1.7  Problems     42
Appendix 1.1  Convergence Conditions for Interconnections
of Volterra Systems     44
Appendix 1.2  The Volterra Representation for Functionals     49
CHAPTER 2  Input/Output Representations in the Transform Domain     54
2.1  The Laplace Transform     54
2.2  Laplace Transform Representation of Homogeneous Systems     60
2.3  Response Computation and the Associated Transform     68
2.4  The Growing Exponential Approach     75
2.5  Polynomial and Volterra Systems     81
2.6  Remarks and References     85
2.7  Problems     87
CHAPTER 3  Obtaining Input/Output Representations from
Differential-Equation Descriptions     93
3.1  Introduction      94
3.2  A Digression on Notation     103
3.3  The Carleman Linearization Approach     105
3.4  The Variational Equation Approach     116
3.5  The Growing Exponential Approach     124
3.6  Systems Described by Nth-Order Differential Equations     127
3.7  Remarks and References     131
3.8  Problems     135
Appendix 3.1  Convergence of the Volterra Series Representation
for Linear-Analytic State Equations     137
CHAPTER 4  Realization Theory     142
4.1  Linear Realization Theory     142
4.2  Realization of Stationary Homogeneous Systems     152
4.3  Realization of Stationary Polynomial and Volterra Systems     163
4.4  Properties of Bilinear State Equations     173
4.5  The Nonstationary Case     180
4.6  Remarks and References     183
4.7  Problems     191
Appendix 4.1  Interconnection Rules for the Regular Transfer Function     194
CHAPTER 5  Response Characteristics of Stationary Systems     199
5.1  Response to Impulse Inputs     199
5.2  Steady-State Response to Sinusoidal Inputs     201
5.3  Steady-State Response to Multi-Tone Inputs     208
5.4  Response to Random Inputs     214
5.5  The Wiener Orthogonal Representation     233
5.6  Remarks and References     246
5.7  Problems     250
CHAPTER 6  Discrete-Time Systems     253
6.1  Input/Output Representations in the Time Domain     253
6.2  Input/Output Representations in the Transform Domain     256
6.3  Obtaining Input/Output Representations from State Equations     263
6.4  State-Affine Realization Theory     269
6.5  Response Characteristics of Discrete-Time Systems     277
6.6  Bilinear Input/Output Systems     287
6.7  Two-Dimensional Linear Systems     292
6.8  Remarks and References     298
6.9  Problems     301
CHAPTER 7  Identification     303
7.1  Introduction     303
7.2  Identification Using Impulse Inputs     305
7.3  Identification Based on Steady-State Frequency Response     308
7.4  Identification Using Gaussian White Noise Inputs     313
7.5  Orthogonal Expansion of the Wiener Kernels     322
7.6  Remarks and References     326
7.7  Problems     329

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Nonlinear System TheoryNonlinear System Theory: The Volterra/Wiener Approach : The Volterra/Wiener Approach

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Volterra series　是解决非线性问题的好工具！

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