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.
Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.
"The presentation of the book is explicit. Some bases that are not familiar to engineering students are explained in the book. It also provides a number of exercises, and so is suitable as a textbook for graduate students in the area of systems and control." (Qianqian Xia, Mathematical Reviews, September, 2023)
"The book provides a compendium of linearization techniques for nonlinear control systems together with their thorough mathematical justification and MATLAB implementation. The style of presentation is accessible for both experienced researchers and undergraduate students. ... A concise appendix containing basics of topology, fundamentals on manifolds and vector fields, and MATLAB codes for subfunctions completes the monograph." (Petro Feketa, zbMATH 1505.93001, 2023)
"The book provides a compendium of linearization techniques for nonlinear control systems together with their thorough mathematical justification and MATLAB implementation. The style of presentation is accessible for both experienced researchers and undergraduate students. ... A concise appendix containing basics of topology, fundamentals on manifolds and vector fields, and MATLAB codes for subfunctions completes the monograph." (Petro Feketa, zbMATH 1505.93001, 2023)