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008			190328s2019 gw a s |||| 0|eng d
020			_a9783030124816
024	7		_a10.1007/978-3-030-12481-6 _2doi
040			_aES-MaUEC _bspa _dES-MaUEC
050		4	_aQA322 _b2019 EB
100	1		_aGuo, Bao-Zhu, _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _d1962- _9671293
245	1	0	_aControl of Wave and Beam PDEs : _bThe Riesz Basis Approach _cby Bao-Zhu Guo, Jun-Min Wang
264		1	_aCham _bSpringer International Publishing _bImprint: Springer _c2019.
300			_a1 recurso en línea (XI, 596 páginas) _b17 ilustraciones
347			_atext file _bPDF
490	0		_aCommunications and Control Engineering _x0178-5354
490	0		_aIntelligent Technologies and Robotics (Springer-42732)
505	0		_aChapter 1. Preliminaries -- Chapter 2. Bases in Hilbert spaces -- Chapter 3. Riesz basis generation: comparison method -- Chapter 4. Riesz basis generation: dual basis approach -- Chapter 5. Riesz basis generation: Green function approach -- Chapter 6. Stabilization of coupled systems.
520	3		_aControl of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy the spectral determined growth condition, the problem of stability, and the relationship between fulfillment of the condition and stability. Using the (fundamental) Riesz-basis property, the book shows how controllability, observability, stability, etc., can be derived for a linear system. The text provides a crash course in the mathematical theory of Riesz bases so that a reader can quickly understand this powerful method of dealing with linear PDEs. It introduces several important methods for achieving the Riesz basis property through spectral analysis, as well as new approaches including treatment of systems coupled through boundary weak connections. The book moves from a discussion of mathematical preliminaries through bases in Hilbert Spaces to applications to Euler-Bernoulli and Rayleigh beam equations and hybrid systems. The final chapter expands the use of the book's methods to applications in other systems. Many typical examples, representing physical systems, are discussed in the text. The book is suitable not only for applied mathematicians seeking a powerful tool to understand control systems, but also for control engineers interested in the mathematics of PDE systems.
650		7	_aEspacios vectoriales topológicos _2embne _9671238
700	1		_aWang, Jun-Min _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service) _9106996
776	0	8	_iPrinted edition: _z9783030124809
776	0	8	_iPrinted edition: _z9783030124823
776	0	8	_iPrinted edition: _z9783030124830
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-12481-6 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
988			_aPrimersemestre_2019_Robotics
998			_aSI _a_alco _a_vill _b11/2019 _cm _dz _ea _feng _ggw _h0