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020			_a9783030120252
024	7		_a10.1007/978-3-030-12025-2 _2doi
040			_bspa _dES-MaUEC _cES-MaUEC
050		4	_aQA402.35 _b2019 EB
100	1		_aMartínez-Guerra, Rafael _eautor _9670199
245	1	0	_aAlgebraic and Differential Methods for Nonlinear Control Theory : _bElements of commutative Algebra and Algebraic Geometry _cRafael Martínez-Guerra, Oscar Martínez-Fuentes, Juan Javier Montesinos-García
264		1	_aCham _bSpringer International Publishing : _bImprint: Springer _c2019
300			_a1 recurso en línea (XIV, 196 páginas) _b13 ilustraciones
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_atext file _bPDF
490	0		_aEngineering (Springer-11647)
490	0		_aMathematical and Analytical Techniques with Applications to Engineering _x1559-7458
505	0		_aMathematical 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.
520	3		_aThis 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.
650		7	_2embne _aSistemas de control no lineal _9666986
650		7	_2embne _9670202 _aÁlgebra conmutativa
650		7	_2embne _9141949 _aGeometría algebraica
700	1		_aMartínez-Fuentes, Oscar. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aMontesinos-García, Juan Javier. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
776	0	8	_iPrinted edition: _z9783030120245
776	0	8	_iPrinted edition: _z9783030120269
776	0	8	_iPrinted edition: _z9783030120276
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-12025-2 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
988			_aPrimersemestre_2019_Engineering
998			_aSI _cm _dz _feng _ggw _h0 _b07/2019 _eel _zSI