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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 Boston University Libraries.This item is available to borrow from all library branches.
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 Boston University Libraries.
This item is available to borrow from all library branches.
 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 p. 31 illus., 16 illus. 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
 Subject

 Mathematical analysis
 Mathematical analysis
 Automatic control
 Calculus of variations
 Systems Theory, Control
 Applied mathematics
 Analysis (Mathematics)
 Mathematics
 Automatic control
 Analysis
 Applications of Mathematics
 Calculus of variations
 Automatic control
 System theory
 Calculus of variations
 Electronic resources
 System theory
 Engineering mathematics
 Mathematics
 System theory
 Applied mathematics
 Calculus of Variations and Optimal Control; Optimization
 Engineering mathematics
 Mathematics
 Mathematical analysis
 Engineering mathematics
 Control
 Applied mathematics
 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
 Image bit depth
 0
 LC call number

 QA315316
 QA402.3
 QA402.5QA402.6
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Bettiol, Piernicola
 Cannarsa, Piermarco.
 Colombo, Giovanni
 Motta, Monica
 Rampazzo, Franco
 SpringerLink
 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
 Automatic control
 Mathematics
 Calculus of Variations and Optimal Control; Optimization
 Systems Theory, Control
 Analysis
 Applications of Mathematics
 Control
 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
 Dimensions
 unknown
 Extent
 IX, 235 p. 31 illus., 16 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 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
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319069173
 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
 Dimensions
 unknown
 Extent
 IX, 235 p. 31 illus., 16 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 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
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319069173
Subject
 Analysis
 Analysis (Mathematics)
 Applications of Mathematics
 Applied mathematics
 Applied mathematics
 Applied mathematics
 Automatic control
 Automatic control
 Automatic control
 Calculus of Variations and Optimal Control; Optimization
 Calculus of variations
 Calculus of variations
 Calculus of variations
 Control
 Electronic resources
 Engineering mathematics
 Engineering mathematics
 Engineering mathematics
 Mathematical analysis
 Mathematical analysis
 Mathematical analysis
 Mathematics
 Mathematics
 Mathematics
 System theory
 System theory
 System theory
 Systems Theory, Control
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