Control Systems and Mathematical Methods in Economics

1. Front Matter

   Pages i-xvi

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2. Mathematical Methods

   1. Front Matter

      Pages 1-1

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   2. On Some Open Problems in Optimal Control

      • Asen L. Dontchev

      Pages 3-13

   3. On Nonlocal Normal Forms of Linear Second Order Mixed Type PDEs on the Plane

      • Alexy A. Davydov, Yu. A. Kasten

      Pages 15-25

   4. Discrete Filippov-Type Stability for One-Sided Lipschitzian Difference Inclusions

      • Robert Baier, Elza Farkhi

      Pages 27-55

   5. Solution Stability and Path-Following for a Class of Generalized Equations

      • Radek Cibulka, Tomáš Roubal

      Pages 57-80

   6. On the Dynamic Programming Approach to Incentive Constraint Problems

      • Fausto Gozzi, Roberto Monte, M. Elisabetta Tessitore

      Pages 81-96

   7. A Functional Analytic Approach to a Bolza Problem

      • Mikhail I. Krastanov, Nadezhda K. Ribarska

      Pages 97-117

   8. On the Generalized Duality Principle for State-Constrained Control and State Estimation Under Impulsive Inputs

      • Alexander B. Kurzhanski

      Pages 119-146

   9. Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices

      • Stanislav Harizanov, Svetozar Margenov

      Pages 147-163

   10. A General Lagrange Multipliers Theorem and Related Questions

       • Andrei V. Dmitruk, Nikolai P. Osmolovskii

       Pages 165-194

   11. Strict Dissipativity Implies Turnpike Behavior for Time-Varying Discrete Time Optimal Control Problems

       • Lars Grüne, Simon Pirkelmann, Marleen Stieler

       Pages 195-218

3. Economics and Environmental Models

   1. Front Matter

      Pages 195-195

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   2. Optimal Exploitation of Renewable Resources: Lessons in Sustainability from an Optimal Growth Model of Natural Resource Consumption

      • Sergey Aseev, Talha Manzoor

      Pages 221-245

   3. (LNG) Arbitrage, Intertemporal Market Equilibrium and (Political) Uncertainty

      • Franz Wirl

      Pages 247-266

   4. The Deterministic Optimal Liquidation Problem

      • Pavol Brunovský, Margaréta Halická, Mario Mitas

      Pages 267-278

   5. Dynamic Models of the Firm with Green Energy and Goodwill

      • Herbert Dawid, Richard F. Hartl, Peter M. Kort

      Pages 279-296

   6. An Extended Integrated Assessment Model for Mitigation and Adaptation Policies on Climate Change

      • Willi Semmler, Helmut Maurer, Anthony Bonen

      Pages 297-317

4. Population Dynamics and Spatial Models

   1. Front Matter

      Pages 297-297

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   2. Optimal Population Growth as an Endogenous Discounting Problem: The Ramsey Case

      • Raouf Boucekkine, Blanca Martínez, J. Ramon Ruiz-Tamarit

      Pages 321-347

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.

• Optimal Control
• Economic Applications
• Operations Research
• Population Dynamics
• Climate Change
• Environment
• Green Energy
• Resource Management

• Operations Research and Control Systems, Vienna University of Technology , Vienna, Austria

  Gustav Feichtinger

• Operations Research and Control Systems, Vienna University of Technology, Vienna, Austria

  Raimund M. Kovacevic, Gernot Tragler

Gustav Feichtinger is a Professor Emeritus of Operations Research at the Vienna University of Technology (TU Wien). Moreover, he is Research Group Leader for Population Economics at the Vienna Institute of Demography of the Austrian Academy of Sciences. He is a Corresponding Member of the academy and holds an Honorary Doctorate from the Otto von Guericke University of Magdeburg. His main interests are in the economic applications of optimal control theory, dynamic games and nonlinear dynamical systems, as well as population mathematics.

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.

 

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