04779nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024002500137040000900162082001500171100003200186245016400218264003800382300003400420336002600454337002600480338003900506347002400545490006600569505097100635520203701606650001703643650003703660650003103697650001703728650006203745650003603807650001803843700003103861700002703892710003403919773002003953776003603973830006604009856009304075942001204168999001704180952010004197978-0-387-24256-9DE-He21320260521091831.0cr nn 008mamaa100301s2005    xxu|    s    |||| 0|eng d  a9780387242569  a997803872425697 a10.1007/b1044412doi  cCICY04a515.642231 aSergienko, Ivan V.eauthor.10aOptimal Control of Distributed Systems with Conjugation Conditionsh[recurso electrónico] /cby Ivan V. Sergienko, Vasyl S. Deineka ; edited by Naum Z. Shor. 1aBoston, MA :bSpringer US,c2005.  aXVI, 384 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aNonconvex Optimization and Its Applications,x1571-568X ;v750 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.  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. 0aMATHEMATICS. 0aDIFFERENTIAL EQUATIONS, PARTIAL. 0aMATHEMATICAL OPTIMIZATION.14aMATHEMATICS.24aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.24aPARTIAL DIFFERENTIAL EQUATIONS.24aOPTIMIZATION.1 aDeineka, Vasyl S.eauthor.1 aShor, Naum Z.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9781402081088 0aNonconvex Optimization and Its Applications,x1571-568X ;v7540uhttp://dx.doi.org/10.1007/b104441zVer el texto completo en las instalaciones del CICY  2ddccER  c32266d32266  00102ddc40708LEaCICYbCICYcELd2025-07-10l0o515.64r2025-07-10 08:39:31w2025-07-10yER