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The Resource Analysis, Controllability and Optimization of TimeDiscrete Systems and Dynamical Games, by Werner Krabs, (electronic resource)
Analysis, Controllability and Optimization of TimeDiscrete Systems and Dynamical Games, by Werner Krabs, (electronic resource)
Resource Information
The item Analysis, Controllability and Optimization of TimeDiscrete Systems and Dynamical Games, by Werner Krabs, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Analysis, Controllability and Optimization of TimeDiscrete Systems and Dynamical Games, by Werner Krabs, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 J. P. La Salle has developed in [20] a stability theory for systems of difference equations (see also [8]) which we introduce in the first chapter within the framework of metric spaces. The stability theory for such systems can also be found in [13] in a slightly modified form. We start with autonomous systems in the first section of chapter 1. After theoretical preparations we examine the localization of limit sets with the aid of Lyapunov Functions. Applying these Lyapunov Functions we can develop a stability theory for autonomous systems. If we linearize a nonlinear system at a fixed point we are able to develop a stability theory for fixed points which makes use of the Frechet derivative at the fixed point. The next subsection deals with general linear systems for which we intro duce a new concept of stability and asymptotic stability that we adopt from [18]. Applications to various fields illustrate these results. We start with the classical predatorpreymodel as being developed and investigated by Volterra which is based on a 2 x 2system of first order differential equations for the densities of the prey and predator population, respectively. This model has also been investigated in [13] with respect to stability of its equilibrium via a Lyapunov function. Here we consider the discrete version of the model
 Language

 eng
 eng
 Edition
 1st ed. 2003.
 Extent
 1 online resource (XII, 192 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Uncontrolled Systems
 Controlled Systems
 Controllability and Optimization
 A.1 The Core of a Cooperative nPerson Game
 A.2 The Core of a Linear Production Game
 A.3 Weak Pareto Optima: Necessary and Sufficient Conditions
 A.4 Duality
 B Bibliographical Remarks
 References
 About the Authors
 Isbn
 9783642189739
 Label
 Analysis, Controllability and Optimization of TimeDiscrete Systems and Dynamical Games
 Title
 Analysis, Controllability and Optimization of TimeDiscrete Systems and Dynamical Games
 Statement of responsibility
 by Werner Krabs
 Language

 eng
 eng
 Summary
 J. P. La Salle has developed in [20] a stability theory for systems of difference equations (see also [8]) which we introduce in the first chapter within the framework of metric spaces. The stability theory for such systems can also be found in [13] in a slightly modified form. We start with autonomous systems in the first section of chapter 1. After theoretical preparations we examine the localization of limit sets with the aid of Lyapunov Functions. Applying these Lyapunov Functions we can develop a stability theory for autonomous systems. If we linearize a nonlinear system at a fixed point we are able to develop a stability theory for fixed points which makes use of the Frechet derivative at the fixed point. The next subsection deals with general linear systems for which we intro duce a new concept of stability and asymptotic stability that we adopt from [18]. Applications to various fields illustrate these results. We start with the classical predatorpreymodel as being developed and investigated by Volterra which is based on a 2 x 2system of first order differential equations for the densities of the prey and predator population, respectively. This model has also been investigated in [13] with respect to stability of its equilibrium via a Lyapunov function. Here we consider the discrete version of the model
 http://library.link/vocab/creatorName
 Krabs, Werner
 Dewey number
 003/.83
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 7JtKt7KI2JA
 Image bit depth
 0
 Language note
 English
 LC call number
 HB7174
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Lecture notes in economics and mathematical systems,
 Lecture Notes in Economics and Mathematical Systems,
 Series volume

 529
 529
 http://library.link/vocab/subjectName

 Economics
 Mathematics
 Economic theory
 Mathematical optimization
 Economics, general
 Mathematics, general
 Economic Theory/Quantitative Economics/Mathematical Methods
 Applications of Mathematics
 Game Theory, Economics, Social and Behav. Sciences
 Optimization
 Label
 Analysis, Controllability and Optimization of TimeDiscrete Systems and Dynamical Games, by Werner Krabs, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Uncontrolled Systems  Controlled Systems  Controllability and Optimization  A.1 The Core of a Cooperative nPerson Game  A.2 The Core of a Linear Production Game  A.3 Weak Pareto Optima: Necessary and Sufficient Conditions  A.4 Duality  B Bibliographical Remarks  References  About the Authors
 Dimensions
 unknown
 Edition
 1st ed. 2003.
 Extent
 1 online resource (XII, 192 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783642189739
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783642189739
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000102681
 (SSID)ssj0000805104
 (PQKBManifestationID)11458002
 (PQKBTitleCode)TC0000805104
 (PQKBWorkID)10823596
 (PQKB)11321382
 (DEHe213)9783642189739
 (MiAaPQ)EBC3068810
 (EXLCZ)993400000000102681
 Label
 Analysis, Controllability and Optimization of TimeDiscrete Systems and Dynamical Games, by Werner Krabs, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Uncontrolled Systems  Controlled Systems  Controllability and Optimization  A.1 The Core of a Cooperative nPerson Game  A.2 The Core of a Linear Production Game  A.3 Weak Pareto Optima: Necessary and Sufficient Conditions  A.4 Duality  B Bibliographical Remarks  References  About the Authors
 Dimensions
 unknown
 Edition
 1st ed. 2003.
 Extent
 1 online resource (XII, 192 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783642189739
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783642189739
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000102681
 (SSID)ssj0000805104
 (PQKBManifestationID)11458002
 (PQKBTitleCode)TC0000805104
 (PQKBWorkID)10823596
 (PQKB)11321382
 (DEHe213)9783642189739
 (MiAaPQ)EBC3068810
 (EXLCZ)993400000000102681
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