Stability and Stabilization : : An Introduction / / William J. Terrell.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Terrell, William J.,
• MitwirkendeR: Terrell, William J.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2009]; ©2009
• Year of Publication: 2009
• Language: English
• Physical Description: 1 online resource (480 p.) :; 14 line illus.

Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, en...

Table of Contents

• Frontmatter
• Contents
• List of Figures
• Preface
• Chapter One. Introduction
• Chapter Two. Mathematical Background
• Chapter Three. Linear Systems and Stability
• Chapter Four. Controllability of Linear Time Invariant Systems
• Chapter Five. Observability and Duality
• Chapter Six. Stabilizability of LTI Systems
• Chapter Seven. Detectability and Duality
• Chapter Eight. Stability Theory
• Chapter Nine. Cascade Systems
• Chapter Ten. Center Manifold Theory
• Chapter Eleven. Zero Dynamics
• Chapter Twelve. Feedback Linearization of Single-Input Nonlinear Systems
• Chapter Thirteen. An Introduction to Damping Control
• Chapter Fourteen. Passivity
• Chapter Fifteen. Partially Linear Cascade Systems
• Chapter Sixteen. Input-to-State Stability
• Chapter Seventeen. Some Further Reading
• Appendix A. Notation: A Brief Key
• Appendix B. Analysis in R and Rn
• Appendix C. Ordinary Differential Equations
• Appendix D. Manifolds and the Preimage Theorem; Distributions and the Frobenius Theorem
• Appendix E. Comparison Functions and a Comparison Lemma
• Appendix F. Hints and Solutions for Selected Exercises
• Bibliography
• Index