The Resource Computational methods for optimizing distributed systems, K.L. Teo, Z.S. Wu, (electronic resource)

Computational methods for optimizing distributed systems, K.L. Teo, Z.S. Wu, (electronic resource)

Label
Computational methods for optimizing distributed systems
Title
Computational methods for optimizing distributed systems
Statement of responsibility
K.L. Teo, Z.S. Wu
Creator
Contributor
Subject
Genre
Language
  • eng
  • eng
Summary
Computational methods for optimizing distributed systems
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Teo, K. L
Dewey number
  • 003
  • 515.3/53 19
Index
index present
Language note
English
LC call number
QA377
LC item number
.T46 1984
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Wu, Z. S
Series statement
Mathematics in science and engineering
Series volume
v. 173
http://library.link/vocab/subjectName
  • Differential equations, Parabolic
  • Boundary value problems
  • Distributed parameter systems
Label
Computational methods for optimizing distributed systems, K.L. Teo, Z.S. Wu, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliography and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Front Cover; Computational Methods for Optimizing Distributed Systems; Copyright Page; Contents; Preface; Chapter I. Mathematical Background; 1. Introduction; 2. Some Basic Concepts in Functional Analysis; 3. Some Basic Concepts in Measure Theory; 4. Some Function Spaces; 5. Relaxed Controls; 6. Multivalued Functions; 7. Bibliographical Remarks; Chapter II. Boundary Value Problems of Parabolic Type; 1. Introduction; 2. Boundary-Value Problems-Basic Definitions and Assumptions; 3. Three Elementary Lemmas; 4. A Priori Estimates; 5. Existence and Uniqueness of Solutions; 6. A Continuity Property
  • 7. Certain Properties of Solutions of Equation (2.1)8. Boundary-Value Problems in General Form; 9. A Maximum Principle; Chapter III. Optimal Control of First Boundary Problems: Strong Variation Techniques; 1. Introduction; 2. System Description; 3. The Optimal Control Problems; 4. The Hamiltonian Functions; 5. The Successive Controls; 6. The Algorithm; 7. Necessary and Sufficient Conditions for Optimality; 8. Numerical Consideration; 9. Examples; 10. Discussion; Chapter IV. Optimal Policy of First Boundary Problems: Gradient Techniques; 1. Introduction; 2. System Description
  • 3. The Optimization Problem4. An Increment Formula; 5. The Gradient of the Cost Functional; 6. A Conditional Gradient Algorithm; 7. Numerical Consideration and an Examples; 8. Optimal Control Problems with Terminal Inequality Constraints; 9. The Finite Element Method; 10. Discussion; Chapter V. Relaxed Controls and the Convergence of Optimal Control Algorithms; 1. Introduction; 2. The Strong Variational Algorithm; 3. The Conditional Gradient Algorithm; 4. The Feasible Directions Algorithm; 5. Discussion; Chapter VI. Optimal Control Problems Involving Second Boundary-Value Problems
  • 1. Introduction2. The General Problem Statement; 3. Preparatory Results; 4. A Basic Inequality; 5. An Optimal Control Problem with a Linear Cost Functional; 6. An Optimal Control Problem with a Linear System; 7. The Finite Element Method; 8. Discussion; Appendix I: Stochastic Optimal Control Problems; Appendix II: Certain Results on Partial Differential Equations Needed in Chapters III, IV, and V; Appendix III: An Algorithm of Quadratic Programming; Appendix IV: A Quasi-Newton Method for Nonlinear Function Minimization with Linear Constraints
  • Appendix V: An Algorithm for Optimal Control Problems of Linear Lumped Parameter SystemsAppendix VI: Meyer-Polak Proximity Algorithm; References; List of Notation; Index
Dimensions
unknown
Extent
1 online resource (331 p.)
Form of item
online
Isbn
9786612289026
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)1000000000789681
  • (EBL)453145
  • (OCoLC)316568414
  • (SSID)ssj0000292336
  • (PQKBManifestationID)12113695
  • (PQKBTitleCode)TC0000292336
  • (PQKBWorkID)10268981
  • (PQKB)10739198
  • (MiAaPQ)EBC453145
  • (EXLCZ)991000000000789681
Label
Computational methods for optimizing distributed systems, K.L. Teo, Z.S. Wu, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliography and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Front Cover; Computational Methods for Optimizing Distributed Systems; Copyright Page; Contents; Preface; Chapter I. Mathematical Background; 1. Introduction; 2. Some Basic Concepts in Functional Analysis; 3. Some Basic Concepts in Measure Theory; 4. Some Function Spaces; 5. Relaxed Controls; 6. Multivalued Functions; 7. Bibliographical Remarks; Chapter II. Boundary Value Problems of Parabolic Type; 1. Introduction; 2. Boundary-Value Problems-Basic Definitions and Assumptions; 3. Three Elementary Lemmas; 4. A Priori Estimates; 5. Existence and Uniqueness of Solutions; 6. A Continuity Property
  • 7. Certain Properties of Solutions of Equation (2.1)8. Boundary-Value Problems in General Form; 9. A Maximum Principle; Chapter III. Optimal Control of First Boundary Problems: Strong Variation Techniques; 1. Introduction; 2. System Description; 3. The Optimal Control Problems; 4. The Hamiltonian Functions; 5. The Successive Controls; 6. The Algorithm; 7. Necessary and Sufficient Conditions for Optimality; 8. Numerical Consideration; 9. Examples; 10. Discussion; Chapter IV. Optimal Policy of First Boundary Problems: Gradient Techniques; 1. Introduction; 2. System Description
  • 3. The Optimization Problem4. An Increment Formula; 5. The Gradient of the Cost Functional; 6. A Conditional Gradient Algorithm; 7. Numerical Consideration and an Examples; 8. Optimal Control Problems with Terminal Inequality Constraints; 9. The Finite Element Method; 10. Discussion; Chapter V. Relaxed Controls and the Convergence of Optimal Control Algorithms; 1. Introduction; 2. The Strong Variational Algorithm; 3. The Conditional Gradient Algorithm; 4. The Feasible Directions Algorithm; 5. Discussion; Chapter VI. Optimal Control Problems Involving Second Boundary-Value Problems
  • 1. Introduction2. The General Problem Statement; 3. Preparatory Results; 4. A Basic Inequality; 5. An Optimal Control Problem with a Linear Cost Functional; 6. An Optimal Control Problem with a Linear System; 7. The Finite Element Method; 8. Discussion; Appendix I: Stochastic Optimal Control Problems; Appendix II: Certain Results on Partial Differential Equations Needed in Chapters III, IV, and V; Appendix III: An Algorithm of Quadratic Programming; Appendix IV: A Quasi-Newton Method for Nonlinear Function Minimization with Linear Constraints
  • Appendix V: An Algorithm for Optimal Control Problems of Linear Lumped Parameter SystemsAppendix VI: Meyer-Polak Proximity Algorithm; References; List of Notation; Index
Dimensions
unknown
Extent
1 online resource (331 p.)
Form of item
online
Isbn
9786612289026
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)1000000000789681
  • (EBL)453145
  • (OCoLC)316568414
  • (SSID)ssj0000292336
  • (PQKBManifestationID)12113695
  • (PQKBTitleCode)TC0000292336
  • (PQKBWorkID)10268981
  • (PQKB)10739198
  • (MiAaPQ)EBC453145
  • (EXLCZ)991000000000789681

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