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Algebraic and Differential Methods for Nonlinear Control Theory

- Elements of Commutative Algebra and Algebraic Geometry
Af: Rafael Martinez-Guerra, Juan Javier Montesinos-Garcia, Oscar Martinez-Fuentes Engelsk Paperback

Algebraic and Differential Methods for Nonlinear Control Theory

- Elements of Commutative Algebra and Algebraic Geometry
Af: Rafael Martinez-Guerra, Juan Javier Montesinos-Garcia, Oscar Martinez-Fuentes Engelsk Paperback
Tjek vores konkurrenters priser
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.

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Tjek vores konkurrenters priser
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.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 196
ISBN-13: 9783030120276
Indbinding: Paperback
Udgave:
ISBN-10: 3030120279
Kategori: Kybernetik og systemteori
Udg. Dato: 28 okt 2020
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 28 okt 2020
Forfatter(e): Rafael Martinez-Guerra, Juan Javier Montesinos-Garcia, Oscar Martinez-Fuentes
Forfatter(e) Rafael Martinez-Guerra, Juan Javier Montesinos-Garcia, Oscar Martinez-Fuentes

Kategori Kybernetik og systemteori

ISBN-13 9783030120276

Sprog Engelsk

Indbinding Paperback

Sider 196

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 28 okt 2020

Oplagsdato 28 okt 2020

Forlag Springer Nature Switzerland AG

Kategori sammenhænge