Liapunov Functions and Stability in Control Theory

• Differential equations.- Time invariant systems.- Time varying systems.- Differential inclusions.- Additional properties of strict Liapunov functions.- Monotonicity and generalized derivatives.

Review in amazon: Super Book December 16, 2002 P, Princeton: Bacciotti and Rosier have managed to present a nonformal, yet rigorous and well-organized introduction to nonlinear stabilization and controllability. They have definetly captured the most important research trends in the area and have managed to cover a wide range of topics with appropriate deepness. My only suggestion would be to add a list of symbols to the book and to discuss Chow's Theorem and the accessibility rank condition. Thanks for a great book! From the reviews of the second edition: "This book has been written by famous scientists in the areas of stability and control theories. It presents a modern and self-contained treatment of the Lyapunov method for stability analysis in the framework of mathematical nonlinear control theory. ... In the 2nd edition of this successful book several new sections have been added and old sections have been improved. A lot of new examples, explanations and figures are added making this book accessible and well readable for engineers as well as mathematicians." (Alexander O. Ignatyev, Zentralblatt MATH, Vol. 1078, 2006)