This is a self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students. It is the first book dealing with the linear-algebraic approach to nonlinear control systems in such a detailed and extensive fashion. It provides a complementary approach to the more traditional differential geometry and deals more easily with several important characteristics of nonlinear systems.

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From the reviews of the second edition: “Algebraic Methods for Nonlinear Control Systems is a book published under the Springer Communication and Control Engineering publication program, which presents major technological advances within these fields. The book aims at presenting one of the two approaches to nonlinear control systems, namely the differential algebraic method. ... is an excellent textbook for graduate courses on nonlinear control systems. ... The differential algebraic method presented in this book appears to be an excellent tool for solving the problems associated with nonlinear systems.” (Dariusz Bismor, International Journal of Acoustics and Vibration, Vol. 14 (4), 2009)

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