Khalil H.K. Nonlinear Systems

N.-Y.: Prentice Hall, 2001. - 750p.This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control. Updated content includes 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. For use as a self-study or reference guide by engineers and applied mathematicians.Second-Order Systems.
Fundamental Properties.
Lyapunov Stability.
Input-Output Stability.
Passivity.
Frequency-Domain Analysis of Feedback Systems.
Advanced Stability Analysis.
Stability of Perturbed Systems.
Perturbation Theory and Averaging.
Singular Perturbations.
Feedback Control.
Feedback Linearization.
Nonlinear Design Tools.
Appendix. Mathematical Review.
Appendix. Contraction Mapping.
Appendix. Proofs.
Notes and References.Symbols.