Algebraic and Differential Methods for Nonlinear Control Theory : Elements of Commutative Algebra and Algebraic Geometry Hardback
by Rafael Martinez-Guerra, Oscar Martinez-Fuentes, Juan Javier Montesinos-Garcia
Part of the Mathematical and Analytical Techniques with Applications to Engineering series
Hardback
Description
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 different 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.
Information
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Out of stock
- Format:Hardback
- Pages:196 pages, 11 Illustrations, color; 2 Illustrations, black and white; XIV, 196 p. 13 illus., 11 illu
- Publisher:Springer Nature Switzerland AG
- Publication Date:04/03/2019
- Category:
- ISBN:9783030120245
Other Formats
- Paperback / softback from £66.09
Information
-
Out of stock
- Format:Hardback
- Pages:196 pages, 11 Illustrations, color; 2 Illustrations, black and white; XIV, 196 p. 13 illus., 11 illu
- Publisher:Springer Nature Switzerland AG
- Publication Date:04/03/2019
- Category:
- ISBN:9783030120245
