Algebraic and Differential Methods for Nonlinear Control Theory / Mathematical and Analytical Techniques with Applications to Engineering (PDF)
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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.
- Autoren: Rafael Martínez-Guerra , Oscar Martínez-Fuentes , Juan Javier Montesinos-García
- 2019, 1st ed. 2019, 196 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3030120252
- ISBN-13: 9783030120252
- Erscheinungsdatum: 30.01.2019
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- Grösse: 3.19 MB
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