Nonlinear Dynamical Systems and Control
eBook - ePub

Nonlinear Dynamical Systems and Control

A Lyapunov-Based Approach

  1. 944 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Nonlinear Dynamical Systems and Control

A Lyapunov-Based Approach

About this book

Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems.


Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

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Yes, you can access Nonlinear Dynamical Systems and Control by Wassim M. Haddad,VijaySekhar Chellaboina in PDF and/or ePUB format, as well as other popular books in Matematica & Matematica applicata. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Conventions and Notation
  8. Preface
  9. Chapter 1. Introduction
  10. Chapter 2. Dynamical Systems and Differential Equations
  11. Chapter 3. Stability Theory for Nonlinear Dynamical Systems
  12. Chapter 4. Advanced Stability Theory
  13. Chapter 5. Dissipativity Theory for Nonlinear Dynamical Systems
  14. Chapter 6. Stability and Optimality of Feedback Dynamical Systems
  15. Chapter 7. Input-Output Stability and Dissipativity
  16. Chapter 8. Optimal Nonlinear Feedback Control
  17. Chapter 9. Inverse Optimal Control and Integrator Backstepping
  18. Chapter 10. Disturbance Rejection Control for Nonlinear Dynamical Systems
  19. Chapter 11. Robust Control for Nonlinear Uncertain Systems 649
  20. Chapter 12. Structured Parametric Uncertainty and Parameter-Dependent Lyapunov Functions
  21. Chapter 13. Stability and Dissipativity Theory for Discrete-Time Nonlinear Dynamical Systems
  22. Chapter 14. Discrete-Time Optimal Nonlinear Feedback Control
  23. Bibliography
  24. Index