Vai al contenuto principale della pagina
Autore: | Martínez-Guerra Rafael |
Titolo: | Algebraic and Differential Methods for Nonlinear Control Theory [[electronic resource] ] : Elements of Commutative Algebra and Algebraic Geometry / / by Rafael Martínez-Guerra, Oscar Martínez-Fuentes, Juan Javier Montesinos-García |
Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
Edizione: | 1st ed. 2019. |
Descrizione fisica: | 1 online resource (XIV, 196 p. 13 illus., 11 illus. in color.) |
Disciplina: | 620.00151 |
Soggetto topico: | Engineering mathematics |
Statistical physics | |
Control engineering | |
System theory | |
Engineering Mathematics | |
Applications of Nonlinear Dynamics and Chaos Theory | |
Control and Systems Theory | |
Systems Theory, Control | |
Persona (resp. second.): | Martínez-FuentesOscar |
Montesinos-GarcíaJuan Javier | |
Nota di contenuto: | 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. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Algebraic and Differential Methods for Nonlinear Control Theory |
ISBN: | 3-030-12025-2 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910337642503321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |