The Resource Analysis and Geometry in Control Theory and its Applications, edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo, (electronic resource)
Analysis and Geometry in Control Theory and its Applications, edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo, (electronic resource)
Resource Information
The item Analysis and Geometry in Control Theory and its Applications, edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Analysis and Geometry in Control Theory and its Applications, edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problemsolving practice
 Language
 eng
 Extent
 IX, 235 pages : 31 illustrations : 16 illustrations in color ;
 Contents

 1 Generalized LaxHopf formulas for Cournot Maps and HamiltonJacobiMcKendrick Equations, JeanPierre Aubin and Chen Luxi
 2 A geometric approach to the optimal control of nonholonomic mechanical systems, Anthony Bloch, Leonardo Colombo, Rohit Gupta and David Martin de Diego
 3 Lunar perturbation of the metric associated to the averaged orbital transfer, Bernard Bonnard, Helen Henninger and Jeremy Rouot
 4 Conjugate times and regularity of the minimum time function with differential inclusions, Piermarco Cannarsa and Teresa Scarinci
 5 Weak solutions for first order mean field games with local coupling, Pierre Cardaliaguet
 6 omegalimit sets for differential inclusions, Asen L. Dontchev, Mikhail I. Krastanov and Vladimir M. Veliov
 7 SecondOrder Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint, Helene Frankowska and Nikolai P. Osmolovskii
 8 Optimal Control of Cancer Treatments: Mathematical Models for the Tumor Microenvironment, Heinz Schaettler and Urszula Ledzewicz
 Isbn
 9783319069173
 Label
 Analysis and Geometry in Control Theory and its Applications
 Title
 Analysis and Geometry in Control Theory and its Applications
 Statement of responsibility
 edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo
 Language
 eng
 Summary
 Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problemsolving practice
 Assigning source
 Provided by Publisher
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Bettiol, Piernicola.
 Cannarsa, Piermarco.
 Colombo, Giovanni.
 Motta, Monica.
 Rampazzo, Franco.
 SpringerLink (Online service)
 Series statement
 Springer INdAM Series,
 Series volume
 11
 http://library.link/vocab/subjectName

 Mathematics
 Mathematical analysis
 Analysis (Mathematics)
 Applied mathematics
 Engineering mathematics
 System theory
 Calculus of variations
 Control engineering
 Label
 Analysis and Geometry in Control Theory and its Applications, edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo, (electronic resource)
 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 Generalized LaxHopf formulas for Cournot Maps and HamiltonJacobiMcKendrick Equations, JeanPierre Aubin and Chen Luxi  2 A geometric approach to the optimal control of nonholonomic mechanical systems, Anthony Bloch, Leonardo Colombo, Rohit Gupta and David Martin de Diego  3 Lunar perturbation of the metric associated to the averaged orbital transfer, Bernard Bonnard, Helen Henninger and Jeremy Rouot  4 Conjugate times and regularity of the minimum time function with differential inclusions, Piermarco Cannarsa and Teresa Scarinci  5 Weak solutions for first order mean field games with local coupling, Pierre Cardaliaguet  6 omegalimit sets for differential inclusions, Asen L. Dontchev, Mikhail I. Krastanov and Vladimir M. Veliov  7 SecondOrder Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint, Helene Frankowska and Nikolai P. Osmolovskii  8 Optimal Control of Cancer Treatments: Mathematical Models for the Tumor Microenvironment, Heinz Schaettler and Urszula Ledzewicz
 Control code
 9783319069173
 Dimensions
 unknown
 Extent
 IX, 235 pages : 31 illustrations : 16 illustrations in color ;
 File format
 multiple file formats
 Form of item
 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, noncommercial 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
 9783319069173
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319069173
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086454036
 Label
 Analysis and Geometry in Control Theory and its Applications, edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo, (electronic resource)
 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 Generalized LaxHopf formulas for Cournot Maps and HamiltonJacobiMcKendrick Equations, JeanPierre Aubin and Chen Luxi  2 A geometric approach to the optimal control of nonholonomic mechanical systems, Anthony Bloch, Leonardo Colombo, Rohit Gupta and David Martin de Diego  3 Lunar perturbation of the metric associated to the averaged orbital transfer, Bernard Bonnard, Helen Henninger and Jeremy Rouot  4 Conjugate times and regularity of the minimum time function with differential inclusions, Piermarco Cannarsa and Teresa Scarinci  5 Weak solutions for first order mean field games with local coupling, Pierre Cardaliaguet  6 omegalimit sets for differential inclusions, Asen L. Dontchev, Mikhail I. Krastanov and Vladimir M. Veliov  7 SecondOrder Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint, Helene Frankowska and Nikolai P. Osmolovskii  8 Optimal Control of Cancer Treatments: Mathematical Models for the Tumor Microenvironment, Heinz Schaettler and Urszula Ledzewicz
 Control code
 9783319069173
 Dimensions
 unknown
 Extent
 IX, 235 pages : 31 illustrations : 16 illustrations in color ;
 File format
 multiple file formats
 Form of item
 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, noncommercial 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
 9783319069173
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783319069173
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086454036
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AnalysisandGeometryinControlTheoryandits/nlHCLgeeaE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/AnalysisandGeometryinControlTheoryandits/nlHCLgeeaE/">Analysis and Geometry in Control Theory and its Applications, edited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>