Algebraic and Differential Methods for Nonlinear Control Theory Elements of Commutative Algebra and Algebraic Geometry /

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 subjec...

Ful tanımlama

Detaylı Bibliyografya
Asıl Yazarlar: Martínez-Guerra, Rafael (Yazar), Martínez-Fuentes, Oscar (Yazar), Montesinos-García, Juan Javier (Yazar)
Müşterek Yazar: SpringerLink (Online service)
Materyal Türü: e-Kitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Cham : Springer International Publishing : Imprint: Springer, 2019.
Edisyon:1st ed. 2019.
Seri Bilgileri:Mathematical and Analytical Techniques with Applications to Engineering,
Konular:
Engineering mathematics.
Nonlinear Optics.
Control engineering.
System theory.
Control theory.
Engineering Mathematics.
Control and Systems Theory.
Systems Theory, Control.
Online Erişim:Full-text access
OPAC'ta görüntüle
Diğer Bilgiler
Özet: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.
Fiziksel Özellikler:XIV, 196 p. 13 illus., 11 illus. in color. online resource.
ISBN:9783030120252
ISSN:1559-7466
DOI:10.1007/978-3-030-12025-2

Benzer Materyaller