Algebraic and Differential Methods for Nonlinear Control Theory is popular PDF and ePub book, written by Rafael Martínez-Guerra in 2019-01-30, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, Algebraic and Differential Methods for Nonlinear Control Theory can be Read Online from any device for your convenience.
Algebraic and Differential Methods for Nonlinear Control Theory Book PDF Summary
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.
Detail Book of Algebraic and Differential Methods for Nonlinear Control Theory PDF
- Author : Rafael Martínez-Guerra
- Release : 30 January 2019
- Publisher : Springer
- ISBN : 9783030120252
- Genre : Technology & Engineering
- Total Page : 196 pages
- Language : English
- PDF File Size : 9,6 Mb
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