The Resource Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games, by Werner Krabs, (electronic resource)

Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games, by Werner Krabs, (electronic resource)

Label
Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games
Title
Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games
Statement of responsibility
by Werner Krabs
Creator
Author
Author
Subject
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 non-linear 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 predator-prey-model as being developed and investigated by Volterra which is based on a 2 x 2-system 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
Member of
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
HB71-74
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 Time-Discrete Systems and Dynamical Games, by Werner Krabs, (electronic resource)
Instantiates
Publication
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 n-Person 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
10.1007/978-3-642-18973-9
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
  • (DE-He213)978-3-642-18973-9
  • (MiAaPQ)EBC3068810
  • (EXLCZ)993400000000102681
Label
Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games, by Werner Krabs, (electronic resource)
Publication
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 n-Person 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
10.1007/978-3-642-18973-9
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
  • (DE-He213)978-3-642-18973-9
  • (MiAaPQ)EBC3068810
  • (EXLCZ)993400000000102681

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