Overview
- Gathers 20 original papers by highly distinguished researchers
- Presents the state-of-the-art mathematical foundations of Optimal Control Theory
- Explores topical applications in Economics and Operations Research
Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 687)
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Table of contents (20 chapters)
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Front Matter
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Mathematical Methods
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Front Matter
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Economics and Environmental Models
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Front Matter
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Population Dynamics and Spatial Models
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Front Matter
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Keywords
About this book
Since the days of Lev Pontryagin and his associates, the discipline of Optimal Control has enjoyed a tremendous upswing – not only in terms of its mathematical foundations, but also with regard to numerous fields of application, which have given rise to highly active research areas. Few scholars, however, have been able to make contributions to both the mathematical developments and the (socio-)economic applications; Vladimir Veliov is one of them. In the course of his scientific career, he has contributed highly influential research on mathematical aspects of Optimal Control Theory, as well as applications in Economics and Operations Research. One of the hallmarks of his research is its impressive breadth. This volume, published on the occasion of his 65th birthday, accurately reflects that diversity.
The mathematical aspects covered include stability theory for difference inclusions, metric regularity, generalized duality theory, the Bolza problem from a functional analytic perspective, and fractional calculus. In turn, the book explores various applications of control theory, such as population dynamics, population economics, epidemiology, optimal growth theory, resource and energy economics, environmental management, and climate change. Further topics include optimal liquidity, dynamics of the firm, and wealth inequality.
Editors and Affiliations
About the editors
Raimund Kovacevic is currently an Assistant Professor (Univ. Ass.) at the TU Wien’s Institute of Statistics and Mathematical Methods in Economics. His main research areas are stochastic optimization, stochastic control, optimization with PDE constraints, and bilevel optimization with applications in energy, finance and insurance. He has worked as an Assistant Professor at Vienna University and as a risk manager and consultant.
Gernot Tragleris currently an Associate Professor for Operations Research and Dean of Academic Affairs for Technical Mathematics, both at the TU Wien. His research focuses on Operations Research and mathematical methods in economics, including various methods of nonlinear and dynamic optimization, chiefly as applied to socio-economic processes and problems of energy supply and the environment. He has supervised more than fifty Master’s and Ph.D. theses and teaches several courses at the graduate level.
Bibliographic Information
Book Title: Control Systems and Mathematical Methods in Economics
Book Subtitle: Essays in Honor of Vladimir M. Veliov
Editors: Gustav Feichtinger, Raimund M. Kovacevic, Gernot Tragler
Series Title: Lecture Notes in Economics and Mathematical Systems
DOI: https://doi.org/10.1007/978-3-319-75169-6
Publisher: Springer Cham
eBook Packages: Economics and Finance, Economics and Finance (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Softcover ISBN: 978-3-319-75168-9Published: 09 June 2018
eBook ISBN: 978-3-319-75169-6Published: 08 June 2018
Series ISSN: 0075-8442
Series E-ISSN: 2196-9957
Edition Number: 1
Number of Pages: XVI, 439
Number of Illustrations: 31 b/w illustrations, 38 illustrations in colour
Topics: Economic Theory/Quantitative Economics/Mathematical Methods, Calculus of Variations and Optimal Control; Optimization, Operations Research/Decision Theory, Numerical Analysis, Environmental Management, Population Economics