Coverart for item
The Resource Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic

Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic

Label
Input-to-state stability for PDEs
Title
Input-to-state stability for PDEs
Statement of responsibility
Iasson Karafyllis, Miroslav Krstic
Creator
Contributor
Author
Subject
Language
eng
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Karafyllis, Iasson
Dewey number
515/.353
Illustrations
illustrations
Index
index present
LC call number
QA377
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Krstić, Miroslav
Series statement
Communications and control engineering,
http://library.link/vocab/subjectName
Differential equations, Partial
Label
Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic
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; Contents; Abbreviations; Notation and Definitions; 1 Preview; 1.1 Introduction; 1.2 Topics and Tools in the Book; 1.3 Applications; 1.4 Background Material; 1.5 The ISS Property for Systems Containing PDEs; References; ISS for First-Order Hyperbolic PDEs; 2 Existence/Uniqueness Results for Hyperbolic PDEs; 2.1 Introduction; 2.2 Basic Existence/Uniqueness Results; 2.3 Examples; References; 3 ISS in Spatial Lp Norms for Hyperbolic PDEs; 3.1 Introduction; 3.2 ISS-Lyapunov Functionals; 3.3 ISS by Means of IDEs; References; ISS for Parabolic PDEs
  • 4 Existence/Uniqueness Results for Parabolic PDEs4.1 Introduction; 4.2 Basic Existence/Uniqueness Results; 4.3 Nonlinear, Non-local Terms and Interconnections with ODEs; 4.4 Examples; 4.5 Boundary Inputs; References; 5 ISS in Spatial L2 and H1 Norms; 5.1 Introduction; 5.2 L2 Norm; 5.3 H1 Norm; 5.4 ISS Lyapunov Functionals; 5.5 Examples; 5.5.1 The Temperature of a Solid Bar; 5.5.2 Gain of R-A-D PDEs With Respect to Inlet Disturbances; References; 6 ISS in Spatial Lp Norms for Parabolic PDEs; 6.1 Introduction; 6.2 ISS-Lyapunov Functionals Under Discretization; 6.2.1 The Notion of the ISS-LFUD
  • 6.2.2 Proof of Theorem 6.46.3 Deriving ISS Estimates; 6.3.1 ISS in the Sup-norm; 6.3.2 ISS in L1 Norm; 6.3.3 ISS in Lp Norms; 6.4 Applications; 6.4.1 Robustness of Backstepping with Respect to Actuator Errors; 6.4.2 ISS in Taylor-Couette Flow; References; Small-Gain Analysis; 7 Fading Memory Input-to-State Stability; 7.1 Introduction; 7.2 Two Basic Lemmas; References; 8 PDE-ODE Loops; 8.1 Introduction; 8.2 Hyperbolic PDE-ODE Loops; 8.3 Parabolic PDE-ODE Loops; 8.4 Applications; 8.4.1 A Chemical Reactor with a Cooling Jacket; 8.4.2 A Water Tank; 9 Hyperbolic PDE-PDE Loops; 9.1 Introduction
  • 9.2 Existence/Uniqueness9.3 Small-Gain Analysis; 9.4 Comparison with Bastin-Coron Stability Conditions for Balance Laws; References; 10 Parabolic PDE-PDE Loops; 10.1 Introduction; 10.2 Existence/Uniqueness; 10.3 Small-Gain Analysis; Reference; 11 Parabolic-Hyperbolic PDE Loops; 11.1 Introduction; 11.2 Movement of Chemicals Underground; 11.3 Combination of Boundary and in-Domain Feedback Interconnection; References; Index
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319910116
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
com.springer.onix.9783319910116
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1039888085
  • (OCoLC)1039888085
Label
Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic
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; Contents; Abbreviations; Notation and Definitions; 1 Preview; 1.1 Introduction; 1.2 Topics and Tools in the Book; 1.3 Applications; 1.4 Background Material; 1.5 The ISS Property for Systems Containing PDEs; References; ISS for First-Order Hyperbolic PDEs; 2 Existence/Uniqueness Results for Hyperbolic PDEs; 2.1 Introduction; 2.2 Basic Existence/Uniqueness Results; 2.3 Examples; References; 3 ISS in Spatial Lp Norms for Hyperbolic PDEs; 3.1 Introduction; 3.2 ISS-Lyapunov Functionals; 3.3 ISS by Means of IDEs; References; ISS for Parabolic PDEs
  • 4 Existence/Uniqueness Results for Parabolic PDEs4.1 Introduction; 4.2 Basic Existence/Uniqueness Results; 4.3 Nonlinear, Non-local Terms and Interconnections with ODEs; 4.4 Examples; 4.5 Boundary Inputs; References; 5 ISS in Spatial L2 and H1 Norms; 5.1 Introduction; 5.2 L2 Norm; 5.3 H1 Norm; 5.4 ISS Lyapunov Functionals; 5.5 Examples; 5.5.1 The Temperature of a Solid Bar; 5.5.2 Gain of R-A-D PDEs With Respect to Inlet Disturbances; References; 6 ISS in Spatial Lp Norms for Parabolic PDEs; 6.1 Introduction; 6.2 ISS-Lyapunov Functionals Under Discretization; 6.2.1 The Notion of the ISS-LFUD
  • 6.2.2 Proof of Theorem 6.46.3 Deriving ISS Estimates; 6.3.1 ISS in the Sup-norm; 6.3.2 ISS in L1 Norm; 6.3.3 ISS in Lp Norms; 6.4 Applications; 6.4.1 Robustness of Backstepping with Respect to Actuator Errors; 6.4.2 ISS in Taylor-Couette Flow; References; Small-Gain Analysis; 7 Fading Memory Input-to-State Stability; 7.1 Introduction; 7.2 Two Basic Lemmas; References; 8 PDE-ODE Loops; 8.1 Introduction; 8.2 Hyperbolic PDE-ODE Loops; 8.3 Parabolic PDE-ODE Loops; 8.4 Applications; 8.4.1 A Chemical Reactor with a Cooling Jacket; 8.4.2 A Water Tank; 9 Hyperbolic PDE-PDE Loops; 9.1 Introduction
  • 9.2 Existence/Uniqueness9.3 Small-Gain Analysis; 9.4 Comparison with Bastin-Coron Stability Conditions for Balance Laws; References; 10 Parabolic PDE-PDE Loops; 10.1 Introduction; 10.2 Existence/Uniqueness; 10.3 Small-Gain Analysis; Reference; 11 Parabolic-Hyperbolic PDE Loops; 11.1 Introduction; 11.2 Movement of Chemicals Underground; 11.3 Combination of Boundary and in-Domain Feedback Interconnection; References; Index
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319910116
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
com.springer.onix.9783319910116
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1039888085
  • (OCoLC)1039888085

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