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Book Cover
E-book
Author Sergienko, Ivan Vasilʹevich

Title Optimal control of distributed systems with conjugation conditions / by Ivan V. Sergienko, Vasyl S. Deineka ; editor, Naum Z. Shor
Published Boston ; Dordrecht : Kluwer Academic Publishers, ©2005

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Description 1 online resource (xvi, 383 pages)
Series Nonconvex optimization and its applications ; v. 75
Nonconvex optimization and its applications ; v. 75.
Contents COVER -- TABLE OF CONTENTS -- PREFACE -- 1 CONTROL OF SYSTEMS DESCRIBED BY ELLIPTIC-TYPE PARTIAL-DIFFERENTIAL EQUATIONS UNDER CONJUGATION CONDITIONS -- 1.1 Distributed Control of a System Described by the Dirichlet Problem -- 1.2 Control Under Conjugation Condition. The Dirichlet Problem -- 1.3 Boundary Control of a Correct System Described by the Neumann Problem -- 1.4 Distributed Control of a System: A Complicated Thin Inclusion Case -- 1.5 Control Under Conjugation Condition: A Complicated Thin Inclusion Case -- 1.6 Boundary Control: Third Boundary-Value Problem -- 1.7 Boundary Control and Observation: Third Boundary-Value Problem -- 2 CONTROL OF A CONDITIONALLY CORRECT SYSTEM DESCRIBED BY THE NEUMANN PROBLEM FOR AN ELLIPTIC-TYPE EQUATION UNDER CONJUGATION CONDITIONS -- 2.1 Distributed Control with Observation throughout a Whole Domain -- 2.2 Distributed Control with Observation on a Thin Inclusion -- 2.3 Distributed Control with Boundary Observation -- 2.4 Control under Conjugation Condition with Boundary Observation -- 2.5 Boundary Control with Observation on a Thin Inclusion -- 3 CONTROL OF A SYSTEM DESCRIBED BY A ONE-DIMENSIONAL QUARTIC EQUATION UNDER CONJUGATION CONDITIONS -- 3.1 Distributed Control with Observation throughout a Whole Domain -- 3.2 Control under Conjugation Condition -- 3.3 Boundary Control under a Fixed Rod End -- 3.4 Boundary Control under an Elastic Rod End Support -- 3.5 Control under Conjugation Condition with Observation at Their Specification Point -- 4 CONTROL OF A SYSTEM DESCRIBED BY A TWO-DIMENSIONAL QUARTIC EQUATION UNDER CONJUGATION CONDITIONS -- 4.1 Distributed Control with Observation throughout a Whole Domain -- 4.2 Control under Conjugation Condition with Observation throughout a Whole Domain -- 4.3 Control under Conjugation Condition with Observation on a Section? -- 4.4 Control on a Section? with Observation on a Part of a Boundary G -- 4.5 Control on G? with Observation on a Section?: Case 1 -- 4.6 Control on G? with Observation on a Section?: Case 2 -- 4.7 Control on G? with Observation on G? -- 5 CONTROL OF A SYSTEM DESCRIBED BY A PARABOLIC EQUATION UNDER CONJUGATION CONDITIONS -- 5.1 Distributed Control -- 5.2 Control under Conjugation Condition with Observation throughout a Whole Domain -- 5.3 Control under Conjugation Condition with Boundary Observation -- 5.4 Control under Conjugation Condition with Final Observation -- 5.5 Control under Boundary Condition with Observation under Conjugation Condition -- 6 CONTROL OF A SYSTEM DESCRIBED BY A PARABOLIC EQUATION IN THE PRESENCE OF CONCENTRATED HEAT CAPACITY -- 6.1 Distributed Control -- 6.2 Control under Conjugation Condition with Observation throughout a Whole Domain -- 6.3 Control under Conjugation Condition with Boundary Observation -- 6.4 Control under Conjugation Condition with Final Observation -- 6.5 Control under Boundary Condition with Observation under Conjugation Condition -- 6.6 Boundary Control with Final Observation -- 7 CONTROL OF A SYSTEM DESCRIBED BY A PSEUDOPARABOLIC EQUATION UNDER CONJUGATION CONDITIONS -- 7.1 Distributed Control -- 7.2 Control under Conjugation Condition with Observation throughout a Whole Domain -- 7.3 Control under Conjugation Condition with Boundary Observation -- 7.4 Control under Conjugation Condition with Final Observation -- 7.5 Control under Boundary Condition with Final Observation -- 7.6 Control under Boundary Condition with Ob
Summary "This 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." "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."--Jacket
Bibliography Includes bibliographical references (pages 373-383)
Notes English
Print version record
In Springer e-books
Subject Distributed operating systems (Computers)
COMPUTERS -- System Administration -- Windows Administration.
COMPUTERS -- Operating Systems -- DOS.
COMPUTERS -- Operating Systems -- Windows Server & NT.
COMPUTERS -- Operating Systems -- Macintosh.
COMPUTERS -- Operating Systems -- Windows Workstation.
Distributed operating systems (Computers)
Sistemas distribuidos
Distributed operating systems (Computers)
Form Electronic book
Author Deĭneka, V. S. (Vasiliĭ Stepanovich)
Shor, Naum Zuselevich
ISBN 9780387242569
0387242562
1402081081
9781402081088