NONLINEAR SYSTEMS

For a first-year graduate-level course on nonlinear systems. It may also be used for self-study or reference by engineers and applied mathematicians.

The text is written to build the level of mathematical sophistication from chapter to chapter. It has been reorganized into four parts: Basic analysis, Analysis of feedback systems, Advanced analysis, and Nonlinear feedback control.

- Updated to include subjects which have proven useful in nonlinear control design in recent years—New in the 3rd edition are: expanded treatment of passivity and passivity-based control; integral control, high-gain feedback, recursive methods, optimal stabilizing control, control Lyapunov functions, and observers. Moreover, bifurcation is introduced in the context of second-order systems.
- Over 170 new exercises.
- The proof of the existence and uniqueness theorem has been moved to an appendix.
*Prevents students from dealing with the contraction mapping principle in such an early chapter. Ex.___
- Web page — Contains information about the book, detailed description of changes from previous editions, hints on how to organize courses around the textbook, corrections, additional exercises with or without solutions.