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The Resource Trends in Control Theory and Partial Differential Equations, edited by Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari, (electronic resource)

Trends in Control Theory and Partial Differential Equations, edited by Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari, (electronic resource)

Editor
Contributor
Summary
This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.--
Language
eng
Work
Publication
Edition
1st ed. 2019.
Extent
1 online resource (XII, 276 pages)
Contents
  • 1 P. Albano, Some remarks on the Dirichlet problem for the degenerate eikonal equation
  • 2 V. Basco and H. Frankowska, Lipschitz continuity of the value function for the infinite horizon optimal control problem under state constraints
  • 3 P. Cannarsa et al., Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations
  • 4 P. Cannarsa et al., Observability inequalities for transport equations through Carleman estimates
  • 5 I. Capuzzo Dolcetta, On the weak maximum principle for degenerate elliptic operators
  • 6 P. Cardaliaguet, On the convergence of open loop Nash equilibria in mean field games with a local coupling
  • 7 E. Fernández-Cara and D. A. Souza, Remarks on the control of a family of b-equations
  • 8 G. Leugering et al., 1-d wave equations coupled via viscoelastic springs and masses: boundary controllability of a quasilinear and exponential stabilizability of a linear model
  • 9 P. Loreti and D. Sforza, A semilinear integro-differential equation: global existence and hidden regularity
  • 10 M. Mazzola and K. T. Nguyen, Lyapunov's theorem via Baire category
  • 11 D. Pighin and E. Zuazua, Controllability under positivity constraints of multi-d wave equations
  • 12 C. Pignotti and I. Reche Vallejo, Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay
  • 13 J. Vancostenoble, Global non-negative approximate controllability of parabolic equations with singular potentials
Isbn
9783030179496
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-17949-6
Instance
Label
Trends in Control Theory and Partial Differential Equations
Title
Trends in Control Theory and Partial Differential Equations
Statement of responsibility
edited by Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari
Contributor
Editor
Subject
Language
eng
Summary
This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.--
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Provided by publisher
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Alabau-Boussouira, Fatiha
  • Ancona, Fabio
  • Porretta, Alessio
  • Sinestrari, Carlo
Series statement
  • Springer INdAM Series,
  • Springer eBooks.
Series volume
32
http://library.link/vocab/subjectName
  • Differential equations, partial
  • Mathematical optimization
  • Mathematics
Label
Trends in Control Theory and Partial Differential Equations, edited by Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-17949-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 P. Albano, Some remarks on the Dirichlet problem for the degenerate eikonal equation -- 2 V. Basco and H. Frankowska, Lipschitz continuity of the value function for the infinite horizon optimal control problem under state constraints -- 3 P. Cannarsa et al., Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations -- 4 P. Cannarsa et al., Observability inequalities for transport equations through Carleman estimates -- 5 I. Capuzzo Dolcetta, On the weak maximum principle for degenerate elliptic operators -- 6 P. Cardaliaguet, On the convergence of open loop Nash equilibria in mean field games with a local coupling -- 7 E. Fernández-Cara and D. A. Souza, Remarks on the control of a family of b-equations -- 8 G. Leugering et al., 1-d wave equations coupled via viscoelastic springs and masses: boundary controllability of a quasilinear and exponential stabilizability of a linear model -- 9 P. Loreti and D. Sforza, A semilinear integro-differential equation: global existence and hidden regularity -- 10 M. Mazzola and K. T. Nguyen, Lyapunov's theorem via Baire category -- 11 D. Pighin and E. Zuazua, Controllability under positivity constraints of multi-d wave equations -- 12 C. Pignotti and I. Reche Vallejo, Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay -- 13 J. Vancostenoble, Global non-negative approximate controllability of parabolic equations with singular potentials
Control code
978-3-030-17949-6
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (XII, 276 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030179496
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
17 illustrations, 11 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1108541859
Label
Trends in Control Theory and Partial Differential Equations, edited by Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-17949-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 P. Albano, Some remarks on the Dirichlet problem for the degenerate eikonal equation -- 2 V. Basco and H. Frankowska, Lipschitz continuity of the value function for the infinite horizon optimal control problem under state constraints -- 3 P. Cannarsa et al., Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations -- 4 P. Cannarsa et al., Observability inequalities for transport equations through Carleman estimates -- 5 I. Capuzzo Dolcetta, On the weak maximum principle for degenerate elliptic operators -- 6 P. Cardaliaguet, On the convergence of open loop Nash equilibria in mean field games with a local coupling -- 7 E. Fernández-Cara and D. A. Souza, Remarks on the control of a family of b-equations -- 8 G. Leugering et al., 1-d wave equations coupled via viscoelastic springs and masses: boundary controllability of a quasilinear and exponential stabilizability of a linear model -- 9 P. Loreti and D. Sforza, A semilinear integro-differential equation: global existence and hidden regularity -- 10 M. Mazzola and K. T. Nguyen, Lyapunov's theorem via Baire category -- 11 D. Pighin and E. Zuazua, Controllability under positivity constraints of multi-d wave equations -- 12 C. Pignotti and I. Reche Vallejo, Asymptotic analysis of a Cucker-Smale system with leadership and distributed delay -- 13 J. Vancostenoble, Global non-negative approximate controllability of parabolic equations with singular potentials
Control code
978-3-030-17949-6
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (XII, 276 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030179496
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
17 illustrations, 11 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1108541859

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