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eBooks :: Kembali

Algebraic and differential methods for nonlinear control theory: elements of commutative algebra and algebraic geometry

Rafael Martinez-Guerra, Oscar Martínez-Fuentes, Juan Javier Montesinos-Garcia, editor (Springer Nature, 2019)
 Abstrak
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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No. Panggil : e20506217
Pengarang/kontributor lain :
Subjek :
Penerbitan : Switzerland: Springer Nature, 2019
Sumber Pengatalogan LibUI eng rda
Tipe Konten text
Tipe Media computer
Tipe Carrier online resource
Deskripsi Fisik xiv, 196 pages : illustration
Tautan https://doi.org/10.1007/978-3-030-12025-2
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e20506217 02-20-515115373 TERSEDIA
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