The Resource Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic
Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic
Resource Information
The item Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- Language
- eng
- Extent
- 1 online resource
- 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
- Isbn
- 9783319910116
- Label
- Input-to-state stability for PDEs
- Title
- Input-to-state stability for PDEs
- Statement of responsibility
- Iasson Karafyllis, Miroslav Krstic
- Language
- eng
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Input-to-state-stability-for-PDEs-Iasson/jEgMe1VhbLg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Input-to-state-stability-for-PDEs-Iasson/jEgMe1VhbLg/">Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Input-to-state-stability-for-PDEs-Iasson/jEgMe1VhbLg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Input-to-state-stability-for-PDEs-Iasson/jEgMe1VhbLg/">Input-to-state stability for PDEs, Iasson Karafyllis, Miroslav Krstic</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
