000			04715nam a22004695i 4500
001			978-0-387-24256-9
003			DE-He213
005			20250710083931.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387242569 _a99780387242569
024	7		_a10.1007/b104441 _2doi
082	0	4	_a515.64 _223
100	1		_aSergienko, Ivan V. _eauthor.
245	1	0	_aOptimal Control of Distributed Systems with Conjugation Conditions _h[recurso electrónico] / _cby Ivan V. Sergienko, Vasyl S. Deineka ; edited by Naum Z. Shor.
264		1	_aBoston, MA : _bSpringer US, _c2005.
300			_aXVI, 384 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aNonconvex Optimization and Its Applications, _x1571-568X ; _v75
505	0		_aControl of Systems Described by Elliptic-Type Partial-Differential Equations under Conjugation Conditions -- Control of a Conditionally Correct System Described by the Neumann Problem for an Elliptic-Type Equation under Conjugation Conditions -- Control of a System Described by a One-Dimensional Quartic Equation under Conjugation Conditions -- Control of a System Described by a Two-Dimensional Quartic Equation under Conjugation Conditions -- Control of a System Described by a Parabolic Equation under Conjugation Conditions -- Control of a System Described by a Parabolic Equation in the Presence of Concentrated Heat Capacity -- Control of a System Described by a Pseudoparabolic Equation under Conjugation Conditions -- Control of a System Described by a Hyperbolic Equation under Conjugation Conditions -- Control of a System Described by a Pseudohyperbolic Equation under Conjugation Conditions -- Optimal Control of a Deformed Complicated Solid Body State.
520			_aThis work develops the methodology according to which classes of discontinuous functions are used in order to investigate a correctness of boundary-value and initial boundary-value problems for the cases with elliptic, parabolic, pseudoparabolic, hyperbolic, and pseudohyperbolic equations and with elasticity theory equation systems that have nonsmooth solutions, including discontinuous solutions. With the basis of this methodology, the monograph shows a continuous dependence of states, namely, of solutions to the enumerated boundary-value and initial boundary-value problems (including discontinuous states) and a dependence of solution traces on distributed controls and controls at sectors of n-dimensional domain boundaries and at n-1-dimensional function-state discontinuity surfaces (i.e., at mean surfaces of thin inclusions in heterogeneous media). Such an aspect provides the existence of optimal controls for the mentioned systems with J.L. Lions' quadratic cost functionals. Besides this, the authors consider some new systems, for instance, the ones described by the conditionally correct Neumann problems with unique states on convex sets, and such states admit first-order discontinuities. These systems are also described by quartic equations with conjugation conditions, by parabolic equations with constraints that contain first-order time state derivatives in the presence of concentrated heat capacity, and by elasticity theory equations. In a number of cases, when a set of feasible controls coincides with corresponding Hilbert spaces, the authors propose to use the computational algorithms for the finite-element method. Such algorithms have the increased order of the accuracy with which optimal controls are numerically found. Audience This book is intended for specialists in applied mathematics, scientific researchers, engineers, and postgraduate students interested in optimal control of heterogeneous distributed systems with states described by boundary-value and initial boundary-value problems.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aMATHEMATICAL OPTIMIZATION.
650	1	4	_aMATHEMATICS.
650	2	4	_aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aOPTIMIZATION.
700	1		_aDeineka, Vasyl S. _eauthor.
700	1		_aShor, Naum Z. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402081088
830		0	_aNonconvex Optimization and Its Applications, _x1571-568X ; _v75
856	4	0	_uhttp://dx.doi.org/10.1007/b104441 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56328 _d56328