Algebraic and Differential Methods for Nonlinear Control Theory Elements of Commutative Algebra and Algebraic Geometry /

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 subjec...

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Bibliographic Details
Main Authors: Martínez-Guerra, Rafael (Author), Martínez-Fuentes, Oscar (Author), Montesinos-García, Juan Javier (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Series:Mathematical and Analytical Techniques with Applications to Engineering,
Subjects:
Engineering mathematics.
Nonlinear Optics.
Control engineering.
System theory.
Control theory.
Engineering Mathematics.
Control and Systems Theory.
Systems Theory, Control.
Online Access:Full-text access
Table of Contents:
  • 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.

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