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The Resource Time optimal control of evolution equations, Gengsheng Wang, Lijuan Wang, Yashan Xu, Yubiao Zhang

Time optimal control of evolution equations, Gengsheng Wang, Lijuan Wang, Yashan Xu, Yubiao Zhang

Label
Time optimal control of evolution equations
Title
Time optimal control of evolution equations
Statement of responsibility
Gengsheng Wang, Lijuan Wang, Yashan Xu, Yubiao Zhang
Creator
Contributor
Author
Subject
Language
eng
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Wang, Gengsheng
Dewey number
515/.35
Illustrations
illustrations
Index
index present
LC call number
QA377.3
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Wang, Lijuan
  • Xu, Yashan
  • Zhang, Yubiao
Series statement
Progress in nonlinear differential equations and their applications,
Series volume
volume 92
http://library.link/vocab/subjectName
  • Evolution equations
  • Control theory
Label
Time optimal control of evolution equations, Gengsheng Wang, Lijuan Wang, Yashan Xu, Yubiao Zhang
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Acknowledgments; Contents; Acronyms; 1 Mathematical Preliminaries; 1.1 Elements in Functional Analysis; 1.1.1 Spaces and Operators; 1.1.2 Some Geometric Aspects of Banach Spaces; 1.1.3 Semigroups and Evolution Equations; 1.1.4 Minimization of Functionals; 1.2 Set-Valued Map; 1.3 Controllability and Observability Estimate; Miscellaneous Notes; References; 2 Time Optimal Control Problems; 2.1 Overview on Time Optimal Control Problems; 2.1.1 Introduction; 2.1.2 Different Ingredients in Time Optimal Control Problems; 2.2 Connections of Minimal and Maximal Time Controls
  • 2.3 Several Examples2.4 Main Subjects on Time Optimal Control Problems; Miscellaneous Notes; References; 3 Existence of Admissible Controls and Optimal Controls; 3.1 Admissible Controls and Controllability; 3.1.1 General Results in Abstract Setting; 3.1.2 Linear ODEs with Ball-Type Control Constraints; 3.1.3 Heat Equations with Ball-Type Control Constraints; 3.2 Admissible Controls and Minimal Norm Problems; 3.2.1 General Results in Abstract Setting; 3.2.2 Heat Equations with Ball-Type Control Constraints; 3.3 Admissible Controls and Reachable Sets; 3.3.1 General Results in Abstract Setting
  • 3.3.2 Reachable Sets of Linear ODEs3.4 Existence of Optimal Controls; 3.4.1 Existence of Optimal Controls for Regular Cases; 3.4.2 Existence of Optimal Controls for Blowup Case; Miscellaneous Notes; References; 4 Maximum Principle of Optimal Controls; 4.1 Classical Maximum Principle of Minimal Time Controls; 4.1.1 Geometric Intuition; 4.1.2 Classical Maximum Principle; 4.1.3 Conditions on Separation in Classical Maximum Principle; 4.2 Local Maximum Principle and Minimal Time Controls; 4.2.1 Some Properties on Controllable Sets and Reachable Sets; 4.2.2 Separability and Local Maximum Principle
  • 4.2.3 Conditions on Separation in Local Maximum Principle4.3 Weak Maximum Principle and Minimal Time Controls; 4.3.1 Separability and Weak Maximum Principle; 4.3.2 Two Representation Theorems Related to the Separability; 4.3.3 Conditions on Separation in Weak Maximum Principle; 4.4 Maximum Principle for Maximal Time Controls; 4.4.1 Classical Maximum Principle for Maximal Time Controls; 4.4.2 Local Maximum Principle for Maximal Time Controls; Miscellaneous Notes; References; 5 Equivalence of Several Kinds of Optimal Controls
  • 5.1 Minimal Time Controls, Minimal Norm Controls, and Time Invariant Systems5.2 Minimal Time Controls, Minimal Norm Controls, and Time-Varying Systems: Part I; 5.2.1 Properties of Minimal Time and Minimal Norm Functions; 5.2.2 Proof of the Main Result; 5.3 Minimal Time Controls, Minimal Norm Controls, and Time-Varying Systems: Part II; 5.4 Maximal Time, Minimal Norm, and Optimal Target Controls; 5.4.1 Existence of Optimal Controls for These Problems; 5.4.2 Connections Between Problems of Optimal Target Control and Minimal Norm Control
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319953632
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1050110369
  • (OCoLC)1050110369
Label
Time optimal control of evolution equations, Gengsheng Wang, Lijuan Wang, Yashan Xu, Yubiao Zhang
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Acknowledgments; Contents; Acronyms; 1 Mathematical Preliminaries; 1.1 Elements in Functional Analysis; 1.1.1 Spaces and Operators; 1.1.2 Some Geometric Aspects of Banach Spaces; 1.1.3 Semigroups and Evolution Equations; 1.1.4 Minimization of Functionals; 1.2 Set-Valued Map; 1.3 Controllability and Observability Estimate; Miscellaneous Notes; References; 2 Time Optimal Control Problems; 2.1 Overview on Time Optimal Control Problems; 2.1.1 Introduction; 2.1.2 Different Ingredients in Time Optimal Control Problems; 2.2 Connections of Minimal and Maximal Time Controls
  • 2.3 Several Examples2.4 Main Subjects on Time Optimal Control Problems; Miscellaneous Notes; References; 3 Existence of Admissible Controls and Optimal Controls; 3.1 Admissible Controls and Controllability; 3.1.1 General Results in Abstract Setting; 3.1.2 Linear ODEs with Ball-Type Control Constraints; 3.1.3 Heat Equations with Ball-Type Control Constraints; 3.2 Admissible Controls and Minimal Norm Problems; 3.2.1 General Results in Abstract Setting; 3.2.2 Heat Equations with Ball-Type Control Constraints; 3.3 Admissible Controls and Reachable Sets; 3.3.1 General Results in Abstract Setting
  • 3.3.2 Reachable Sets of Linear ODEs3.4 Existence of Optimal Controls; 3.4.1 Existence of Optimal Controls for Regular Cases; 3.4.2 Existence of Optimal Controls for Blowup Case; Miscellaneous Notes; References; 4 Maximum Principle of Optimal Controls; 4.1 Classical Maximum Principle of Minimal Time Controls; 4.1.1 Geometric Intuition; 4.1.2 Classical Maximum Principle; 4.1.3 Conditions on Separation in Classical Maximum Principle; 4.2 Local Maximum Principle and Minimal Time Controls; 4.2.1 Some Properties on Controllable Sets and Reachable Sets; 4.2.2 Separability and Local Maximum Principle
  • 4.2.3 Conditions on Separation in Local Maximum Principle4.3 Weak Maximum Principle and Minimal Time Controls; 4.3.1 Separability and Weak Maximum Principle; 4.3.2 Two Representation Theorems Related to the Separability; 4.3.3 Conditions on Separation in Weak Maximum Principle; 4.4 Maximum Principle for Maximal Time Controls; 4.4.1 Classical Maximum Principle for Maximal Time Controls; 4.4.2 Local Maximum Principle for Maximal Time Controls; Miscellaneous Notes; References; 5 Equivalence of Several Kinds of Optimal Controls
  • 5.1 Minimal Time Controls, Minimal Norm Controls, and Time Invariant Systems5.2 Minimal Time Controls, Minimal Norm Controls, and Time-Varying Systems: Part I; 5.2.1 Properties of Minimal Time and Minimal Norm Functions; 5.2.2 Proof of the Main Result; 5.3 Minimal Time Controls, Minimal Norm Controls, and Time-Varying Systems: Part II; 5.4 Maximal Time, Minimal Norm, and Optimal Target Controls; 5.4.1 Existence of Optimal Controls for These Problems; 5.4.2 Connections Between Problems of Optimal Target Control and Minimal Norm Control
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319953632
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1050110369
  • (OCoLC)1050110369

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