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電子ブック
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1. Turnpike Properties in the Calculus of Variations and Optimal Control
Zaslavski, Alexander J. ; SpringerLink (Online service)
出版情報: Boston, MA : Springer Science+Business Media, Inc., 2006
シリーズ名: Nonconvex Optimization and Its Applications ; 80
オンライン: http://dx.doi.org/10.1007/0-387-28154-1
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電子ブック
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2. Structure of Solutions of Variational Problems
by Alexander J. Zaslavski
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: SpringerBriefs in Optimization ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6387-0
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Preface
1. Introduction
2. Nonautonomous problems
3.Autonomous problems
4.Convex Autonomous Problems
References
Index
Preface
1. Introduction
2. Nonautonomous problems
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3. Nonconvex Optimal Control and Variational Problems
by Alexander J. Zaslavski
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Optimization and Its Applications ; 82
オンライン: http://dx.doi.org/10.1007/978-1-4614-7378-7
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Preface
1. Introduction
2. Well-posedness of Optimal Control Problems
3. Well-posedness and Porosity
4. Well-posedness of Nonconvex Variational Problems
5. Gerenic Well-posedness result
6. Nonoccurrence of the Lavrentiev Phenomenon for Variational Problems
7. Nonoccurrence of the Lavrentiev Phenomenon in Optimal Control
8. Generic Nonoccurrence of the Lavrentiev phenomenon
9. Infinite Dimensional Linear Control Problems
10. Uniform Boundedness of Approximate Solutions of Variational Problems
11. The Turnpike Property for Approximate Solutions
12. A Turnpike Result For Optimal Control Systems. - References
Index
Preface
1. Introduction
2. Well-posedness of Optimal Control Problems
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4. Turnpike Theory of Continuous-Time Linear Optimal Control Problems
by Alexander J. Zaslavski
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Springer Optimization and Its Applications ; 104
オンライン: http://dx.doi.org/10.1007/978-3-319-19141-6
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Preface
1. Introduction
2. Control systems with periodic convex integrands
3. Control systems with non convex integrands
4. Stability properties
5. Linear control systems with discounting
6. Dynamic zero-sum games with linear constraints
7. Genericity results
8. Variational problems with extended-value integrands
9. Dynamic games with extended-valued integrands
References
Index
Preface
1. Introduction
2. Control systems with periodic convex integrands
5.

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5. Optimization on Metric and Normed Spaces
by Alexander J. Zaslavski
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Springer Optimization and Its Applications ; 44
オンライン: http://dx.doi.org/10.1007/978-0-387-88621-3
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6. Convex Optimization with Computational Errors. 1st ed. 2020
by Alexander J. Zaslavski
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Optimization and Its Applications ; 155
オンライン: https://doi.org/10.1007/978-3-030-37822-6
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Preface
1. Introduction
2. Subgradient Projection Algorithm
3. The Mirror Descent Algorithm
4. Gradient Algorithm with a Smooth Objective Function
5. An Extension of the Gradient Algorithm
6. Continuous Subgradient Method
7. An optimization problems with a composite objective function
8. A zero-sum game with two-players
9. PDA-based method for convex optimization
10 Minimization of quasiconvex functions.-11. Minimization of sharp weakly convex functions.-12. A Projected Subgradient Method for Nonsmooth Problems
References. -Index
Preface
1. Introduction
2. Subgradient Projection Algorithm
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7. The Projected Subgradient Algorithm in Convex Optimization. 1st ed. 2020
by Alexander J. Zaslavski
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: SpringerBriefs in Optimization ;
オンライン: https://doi.org/10.1007/978-3-030-60300-7
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1. Introduction
2. Nonsmooth Convex Optimization
3. Extensions
4. Zero-sum Games with Two Players
5. Quasiconvex Optimization
References
1. Introduction
2. Nonsmooth Convex Optimization
3. Extensions
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8. Turnpike Theory for the Robinson–Solow–Srinivasan Model. 1st ed. 2020
by Alexander J. Zaslavski
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Optimization and Its Applications ; 166
オンライン: https://doi.org/10.1007/978-3-030-60307-6
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1. Introduction
2 The RSS model and its basic properties
3. Infinite horizon optimization. 4. Turnpike results for the RSS model
5.The RSS model with a nonconcave utility function. - 6.Infinite horizon nonautonomous optimization problems
7. One-dimensional RSS model
8. Optimal Programs
9. Turnpike for the RSS model with nonconcave utility functions. 10. An autonomous one-dimensional model
11. The continuous-time Robinson–Solow–Srinivasan model
References
Index
1. Introduction
2 The RSS model and its basic properties
3. Infinite horizon optimization. 4. Turnpike results for the RSS model
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9. Optimization on Solution Sets of Common Fixed Point Problems. 1st ed. 2021
by Alexander J. Zaslavski
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Optimization and Its Applications ; 178
オンライン: https://doi.org/10.1007/978-3-030-78849-0
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Preface
Introduction
Fixed Point Subgradient Algorithm
Proximal Point Subgradient Algorithm
Cimmino Subgradient Projection Algorithm
Iterative Subgradient Projection Algorithm
Dynamic Strong-Averaging Subgradient Algorithm
Fixed Point Gradient Projection Algorithm
Cimmino Gradient Projection Algorithm
A Class of Nonsmooth Convex Optimization Problems
Zero-Sum Games with Two Players
References
Index
Preface
Introduction
Fixed Point Subgradient Algorithm
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10. Optimal Control Problems Related to the Robinson–Solow–Srinivasan Model. 1st ed. 2021
by Alexander J. Zaslavski
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名: Monographs in Mathematical Economics ; 4
オンライン: https://doi.org/10.1007/978-981-16-2252-6
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1.Introduction
2.Infinite horizon nonautonomous optimization problems
3.One-dimensional concave RSS model
4.Turnpike properties for autonomous problems
5.The turnpike phenomenon for nonautonomous problems
6.Generic turnpike results for the RSS model
7.The turnpike phenomenon for the Robinson–Shinkai–Leontief model
8.Discrete dispersive dynamical systems
1.Introduction
2.Infinite horizon nonautonomous optimization problems
3.One-dimensional concave RSS model