Algebraic and Differential Methods for Nonlinear Control Theory
Springer International Publishing (Verlag)
978-3-030-12027-6 (ISBN)
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.
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.- Differential Algebra for Nonlinear Control Theory.- Appendix.- Index.
"The book is an introduction to the mathematical tools of control theory, and specifically the differential algebraic approach, for readers with no previous background in this field." (Filippo Cacace, Mathematical Reviews, October, 2019)
“The book is an introduction to the mathematical tools of control theory, and specifically the differential algebraic approach, for readers with no previous background in this field.” (Filippo Cacace, Mathematical Reviews, October, 2019)
| Erscheinungsdatum | 07.07.2020 |
|---|---|
| Reihe/Serie | Mathematical and Analytical Techniques with Applications to Engineering |
| Zusatzinfo | XIV, 196 p. 13 illus., 11 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 332 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Technik | |
| Schlagworte | Algebraic structures for engineering mathematics • Differential Algebra for Nonlinear Control Theory • Fault Detection and Diagnosis in Nonlinear Systems • Synchronization of Coupled Fractional Order System • Synchronization of Coupled Fractional Order Systems • Theory of nonlinear control |
| ISBN-10 | 3-030-12027-9 / 3030120279 |
| ISBN-13 | 978-3-030-12027-6 / 9783030120276 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
