Transcription of Nonlinear System Theory
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Nonlinear System Theory
Nonlinear System Theory The Volterra/Wiener Approach by Wilson J. Rugh Originally published by The Johns Hopkins University Press, 1981 (ISBN O-8018-2549-0). Web version prepared in 2002. Contents PREFACE CHAPTER 1 Input/Output Representations in the Time Domain 1 Linear Systems 1 Homogeneous Nonlinear Systems 3 Polynomial and Volterra Systems 18 Interconnections of Nonlinear Systems 21 Heuristic and Mathematical Aspects 34 Remarks and References 37 Problems 42 Appendix Convergence Conditions for Interconnections of Volterra Systems 44 Appendix The Volterra Representation for Functionals 49 CHAPTER 2 Input/Output Representations in the Transform Domain 54 The Laplace Transform 54 Laplace Transform Representation of Homogeneous Systems 60 Response Computation and the Associated Transform 68 The Growing Exponential Approach 75 Polynomial and Volterra Systems 81 Remarks and References 85 Problems 87 CHAPTER 3 Obtaining Input/Output Representations from
The problems are intended to illuminate and breed familiarity with the subject matter. Although the concepts involved in the Volterra/Wiener approach are not difficult, ... familiarity with the elements of stochastic processes is needed to appreciate fully the material on random process inputs. I would be remiss indeed if several people have ...
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