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** ** 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.

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The following ISBNs are associated with this title:

ISBN - 10:0130673897

ISBN - 13:9780130673893

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Table of Contents

*Exercises*.

**1. Introduction.**

**2. Second-Order Systems.**

**3. Fundamental Properties.**

**4. Lyapunov Stability.**

**5. Input-Output Stability.**

*L*Stability.

*L*Stability of State Models.

*L*

**6. Passivity.**

*L*

**7. Frequency-Domain Analysis of Feedback Systems.**

**8. Advanced Stability Analysis.**

**9. Stability of Perturbed Systems.**

**10. Perturbation Theory and Averaging.**

**11. Singular Perturbations.**

**12. Feedback Control.**

**13. Feedback Linearization.**

**14. Nonlinear Design Tools.**

**Appendix A. Mathematical Review.**

**Appendix B. Contraction Mapping.**

**Appendix C. Proofs.**

**Notes and References.**

**Bibliography.**

**Symbols.**

**Index.**