Rafael Mart?nez-Guerra; Oscar Mart?nez-Fuentes; Ju Algebraic and Differential Methods for Nonlinear Control Theory 9783030120245

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Автор: Rafael Mart?nez-Guerra; Oscar Mart?nez-Fuentes; Ju
Название: Algebraic and Differential Methods for Nonlinear Control Theory
ISBN: 9783030120245
Издательство: Springer
Классификация:

Кибернетика и теория систем

Оптика

Математика для инженеров

Техника автоматического регулирования

ISBN-10: 3030120244
Обложка/Формат: Hardcover
Страницы: 196
Вес: 0.56 кг.
Дата издания: 2019
Серия: Mathematical and Analytical Techniques with Applications to Engineering
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 12 tables, color; 11 illustrations, color; 2 illustrations, black and white; xiv, 196 p. 13 illus., 11 illus. in color.
Размер: 239 x 211 x 15
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Подзаголовок: Elements of Commutative Algebra and Algebraic Geometry
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.
Дополнительное описание: Mathematical Background.- Group Theory.- Rings.- Matrices and linear equations systems.- Permutations and Determinants.- Vector and Euclidean Spaces.- Linear Transformations.- Matrix Diagonalization and Jordan Canonical Form.- Differential Equations.- Dif

Algebraic and Differential Methods for Nonlinear Control Theory, Rafael Mart?nez-Guerra; Oscar Mart?nez-Fuentes; Ju