Optimal Control of Distributed Systems with Conjugation Conditions
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The work Optimal Control of Distributed Systems with Conjugation Conditions represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Optimal Control of Distributed Systems with Conjugation Conditions
Resource Information
The work Optimal Control of Distributed Systems with Conjugation Conditions represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Optimal Control of Distributed Systems with Conjugation Conditions
 Statement of responsibility
 by Ivan V. Sergienko, Vasyl S. Deineka ; edited by Naum Z. Shor
 Language

 eng
 eng
 Summary
 This work develops the methodology according to which classes of discontinuous functions are used in order to investigate a correctness of boundaryvalue and initial boundaryvalue 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 boundaryvalue and initial boundaryvalue problems (including discontinuous states) and a dependence of solution traces on distributed controls and controls at sectors of ndimensional domain boundaries and at n–1dimensional functionstate 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 firstorder discontinuities. These systems are also described by quartic equations with conjugation conditions, by parabolic equations with constraints that contain firstorder 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 finiteelement 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 boundaryvalue and initial boundaryvalue problems
 Dewey number

 005.4/476
 515.35
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

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 CJYOv1Kd5qM
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
 yI9TtAfkuEs
 Language note
 English
 LC call number

 QA315316
 QA402.3
 QA402.5QA402.6
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Nonconvex Optimization and Its Applications,
 Series volume
 75
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Context of Optimal Control of Distributed Systems with Conjugation ConditionsWork of
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 Optimal Control of Distributed Systems with Conjugation Conditions, by Ivan V. Sergienko, Vasyl S. Deineka ; edited by Naum Z. Shor, (electronic resource)
 Optimal Control of Distributed Systems with Conjugation Conditions, by Ivan V. Sergienko, Vasyl S. Deineka ; edited by Naum Z. Shor, (electronic resource)
 Optimal Control of Distributed Systems with Conjugation Conditions, by Ivan V. Sergienko, Vasyl S. Deineka ; edited by Naum Z. Shor, (electronic resource)
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