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710	2		_aSpringerLink (Online service) _9106996
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020			_a9783319910116
024	7		_a10.1007/978-3-319-91011-6 _2doi
040			_aES-MaUEC _bspa _dES-MaUEC
050		4	_aQA377 _b2019 EB
100	1		_aKarafyllis, Iasson _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _996911
245	1	0	_aInput-to-State Stability for PDEs _cby Iasson Karafyllis, Miroslav Krstic.
264		1	_aCham _bSpringer International Publishing _bImprint: Springer _c2019.
300			_a1 recurso en línea (XVI, 287 páginas) _b1 ilustraciones a color
347			_atext file _bPDF
490	0		_aCommunications and Control Engineering _x0178-5354
490	0		_aIntelligent Technologies and Robotics (Springer-42732)
505	0		_aChapter 1. Preview -- Part I: ISS for First-Order Hyperbolic PDEs -- Chapter 2. Existence/Uniqueness Results for Hyperbolic PDEs -- Chapter 3. ISS in Spatial Lp Norms -- Part II. ISS for Parabolic PDEs -- Chapter 4. Existence/Uniqueness Results for Parabolic PDEs -- Chapter 5. ISS in Spatial L2 and H1 Norms -- Chapter 6. ISS in Spatial Lp Norms -- Part III. Small-Gain Analysis -- Chapter 7. Fading Memory Input-to-State Stability -- Chapter 8. PDE-ODE Loops -- Chapter 9. Hyperbolic PDE-PDE Loops -- Chapter 10. Parabolic PDE-PDE Loops -- Chapter 11. Parabolic-Hyperbolic PDE-PDE Loops -- Reference. .
520	3		_aThis book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes-parabolic and hyperbolic. This foundation consists of new PDE-specific tools. In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered: PDEs (of either class) with static maps; PDEs (again, of either class) with ODEs; PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and feedback loops of PDEs of different classes (parabolic with hyperbolic). In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including-for PDEs that include non-local terms-backstepping control designs which result in non-local boundary conditions. Input-to-State Stability for PDEs will interest applied mathematicians and control specialists researching PDEs either as graduate students or full-time academics. It also contains a large number of applications that are at the core of many scientific disciplines and so will be of importance for researchers in physics, engineering, biology, social systems and others.
650		7	_aEcuaciones en derivadas parciales _2embne _9145456
700	1		_aKrstić, Miroslav _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _963930
776	0	8	_iPrinted edition: _z9783319910109
776	0	8	_iPrinted edition: _z9783319910123
776	0	8	_iPrinted edition: _z9783030081553
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-319-91011-6 _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