Nonlinear Systems - (3rd Edition) (English Edition)

Author: Harry
Publisher:
Publish Date: 2007-01-01
Features: The study of nonlinear systems has recently received increasing attention, and many engineering schools abroad have included "Nonlinear Systems" as a graduate-level course for relevant disciplines. This book is a graduate textbook for the Electrical and Computer Engineering program at Michigan State University in the United States. The content of the book is divided into four parts based on the progression of mathematical knowledge. The Basic Analysis section introduces the fundamental concepts and basic analysis methods of nonlinear systems. The Feedback System Analysis section covers input-output stability, passivity, and frequency domain analysis of feedback systems. The Modern Analysis section introduces the basic concepts of modern stability analysis, stability of perturbed systems, perturbation theory, averaging, and singular perturbation theory. The Nonlinear Feedback Control section introduces the basic concepts of feedback control and feedback linearization, and provides several nonlinear design tools such as sliding mode control, Lyapunov redesign, backstepping, passivity-based control, and high-gain observers. Additionally, the appendix of the book compiles some mathematical knowledge used in the text, including a review of basic mathematics, the contraction mapping theorem, and some more complex proofs. This book can serve as a textbook for graduate-level courses on nonlinear systems, as well as a self-study textbook or reference for engineering professionals and applied mathematicians.