SIAM Homepage | Search Catalog | New Books | Author Index | Series Index | Title Index | View My Shopping Cart

The catalog and shopping cart are hosted for SIAM by EasyCart. Your transaction is secure. If you have any questions about your order, contact

Purchase Now!

Nonlinear Systems Analysis, Second EditionNonlinear Systems Analysis, Second Edition

M. Vidyasagar

Classics in Applied Mathematiacs 42

When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature.

The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. In addition, it includes valuable reference material in these chapters that is unavailable elsewhere. The text also features a large number of problems that allow readers to test their understanding of the subject matter and self-contained sections and chapters that allow readers to focus easily on a particular topic.


This text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers. The subject of nonlinear systems continues to interest not only theorists but also practitioners working in areas such as robotics, spacecraft control, motor control, and power systems. This book is sure to enlighten readers on this timeless and ever-fascinating subject.


Preface to the Classics Edition; Preface; Note to the Reader; Chapter 1: Introduction; Chapter 2: Nonlinear Differential Equations; Chapter 3: Second-Order Systems; Chapter 4: Approximate Analysis Methods; Chapter 5: Lyapunov Stability; Chapter 6: Input-Output Stability; Chapter 7: Differential Geometric Methods; Appendix A: Prevalence of Differential Equations with Unique Solutions; Appendix B: Proof of the Kalman-Yacubovitch Lemma; Appendix C: Proof of the Frobenius Theorem; References; Index.

To request an examination copy or desk copy of this book, please use our online request form at

2002 / xviii + 498 pages / Softcover / ISBN-13: 978-0-898715-26-2 / ISBN-10: 0-89871-526-1 /
List Price $72.00 / SIAM Member Price $50.40 / Order Code CL42
Quantity desired

Search our catalog for:

Shopping cart provided by:
Select quantity and list or member price and then click the "Click to Order" button to add books to your shopping cart.
Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)