Chapter One. Introduction

William J. Terrell

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Chapter One. Introduction

William J. Terrell

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Terrell, William J.. "Chapter One. Introduction". Stability and Stabilization: An Introduction, Princeton: Princeton University Press, 2009, pp. 1-11. https://doi.org/10.1515/9781400833351-003

Terrell, W. (2009). Chapter One. Introduction. In Stability and Stabilization: An Introduction (pp. 1-11). Princeton: Princeton University Press. https://doi.org/10.1515/9781400833351-003

Terrell, W. 2009. Chapter One. Introduction. Stability and Stabilization: An Introduction. Princeton: Princeton University Press, pp. 1-11. https://doi.org/10.1515/9781400833351-003

Terrell, William J.. "Chapter One. Introduction" In Stability and Stabilization: An Introduction, 1-11. Princeton: Princeton University Press, 2009. https://doi.org/10.1515/9781400833351-003

Terrell W. Chapter One. Introduction. In: Stability and Stabilization: An Introduction. Princeton: Princeton University Press; 2009. p.1-11. https://doi.org/10.1515/9781400833351-003

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Frontmatter i
Contents v
List of Figures xi
Preface xiii
Chapter One. Introduction 1
Chapter Two. Mathematical Background 12
Chapter Three. Linear Systems and Stability 49
Chapter Four. Controllability of Linear Time Invariant Systems 82
Chapter Five. Observability and Duality 109
Chapter Six. Stabilizability of LTI Systems 124
Chapter Seven. Detectability and Duality 138
Chapter Eight. Stability Theory 161
Chapter Nine. Cascade Systems 189
Chapter Ten. Center Manifold Theory 212
Chapter Eleven. Zero Dynamics 233
Chapter Twelve. Feedback Linearization of Single-Input Nonlinear Systems 268
Chapter Thirteen. An Introduction to Damping Control 289
Chapter Fourteen. Passivity 302
Chapter Fifteen. Partially Linear Cascade Systems 331
Chapter Sixteen. Input-to-State Stability 359
Chapter Seventeen. Some Further Reading 378
Appendix A. Notation: A Brief Key 381
Appendix B. Analysis in R and Rⁿ 383
Appendix C. Ordinary Differential Equations 393
Appendix D. Manifolds and the Preimage Theorem; Distributions and the Frobenius Theorem 403
Appendix E. Comparison Functions and a Comparison Lemma 420
Appendix F. Hints and Solutions for Selected Exercises 430
Bibliography 443
Index 451

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https://doi.org/10.1515/9781400833351-003

Kapitel in diesem Buch

Frontmatter i
Contents v
List of Figures xi
Preface xiii
Chapter One. Introduction 1
Chapter Two. Mathematical Background 12
Chapter Three. Linear Systems and Stability 49
Chapter Four. Controllability of Linear Time Invariant Systems 82
Chapter Five. Observability and Duality 109
Chapter Six. Stabilizability of LTI Systems 124
Chapter Seven. Detectability and Duality 138
Chapter Eight. Stability Theory 161
Chapter Nine. Cascade Systems 189
Chapter Ten. Center Manifold Theory 212
Chapter Eleven. Zero Dynamics 233
Chapter Twelve. Feedback Linearization of Single-Input Nonlinear Systems 268
Chapter Thirteen. An Introduction to Damping Control 289
Chapter Fourteen. Passivity 302
Chapter Fifteen. Partially Linear Cascade Systems 331
Chapter Sixteen. Input-to-State Stability 359
Chapter Seventeen. Some Further Reading 378
Appendix A. Notation: A Brief Key 381
Appendix B. Analysis in R and Rⁿ 383
Appendix C. Ordinary Differential Equations 393
Appendix D. Manifolds and the Preimage Theorem; Distributions and the Frobenius Theorem 403
Appendix E. Comparison Functions and a Comparison Lemma 420
Appendix F. Hints and Solutions for Selected Exercises 430
Bibliography 443
Index 451

Chapter One. Introduction

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