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This textbook helps graduate level student to understand easily the linearization of nonlinear control system. Differential geometry is essential to understand the linearization problems of the control nonlinear systems. In this book, the basics of differential geometry, needed in linearization, are explained on the Euclean space instead of the manifold for the students who are not accustomed to differential geometry. Many Lie algebra formulas, used often in linearization, are also provided with proof. The conditions in the linearization problems are complicated to check because the Lie bracket calculation of vector fields by hand needs much concetration and time. This book provides the MATLAB programs for most of the theorems.

Algebra --- Electrical engineering --- algebra --- lineaire algebra --- automatisering --- systeemtheorie --- automatische regeltechniek --- Lie algebras. --- Nonlinear control theory. --- Sistemes no lineals --- Teoria de control --- Àlgebres de Lie