9783030120276 - algebraic and differential methods for nonlinear control theory: elements of commutative algebra and algebraic geometry (mathematical and analytical techniques with applications to engineering) von martínez-guerra, rafael; martínez-fuentes, oscar; montesinos-garcía, juan javier (4 Ergebnisse)
Algebraic and Differential Methods for Nonlinear Control Theory: Elements of Commutative Algebra and Algebraic Geometry (Mathematical and Analytical Techniques with Applications to Engineering)
Martínez-Guerra, Rafael; Martínez-Fuentes, Oscar; Montesinos-García, Juan Javier
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Algebraic and Differential Methods for Nonlinear Control Theory: Elements of Commutative Algebra and Algebraic Geometry
Martinez-guerra, Rafael/ Martinez-fuentes, Oscar/ Montesinos-garcia, Juan Javier
- Softcover
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Paperback. Zustand: Brand New. 196 pages. 9.25x6.10x0.45 inches. In Stock.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite diffe…rent from the traditional approaches to the subject matter.This text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra.
