Control Systems and Mathematical Methods in Economics

✍ Scribed by Gustav Feichtinger, Raimund M. Kovacevic, Gernot Tragler

• Publisher: Springer International Publishing
• Year: 2018
• Tongue: English
• Leaves: 443
• Series: Lecture Notes in Economics and Mathematical Systems 687
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xvi
Front Matter ....Pages 1-1
On Some Open Problems in Optimal Control (Asen L. Dontchev)....Pages 3-13
On Nonlocal Normal Forms of Linear Second Order Mixed Type PDEs on the Plane (Alexy A. Davydov, Yu. A. Kasten)....Pages 15-25
Discrete Filippov-Type Stability for One-Sided Lipschitzian Difference Inclusions (Robert Baier, Elza Farkhi)....Pages 27-55
Solution Stability and Path-Following for a Class of Generalized Equations (Radek Cibulka, Tomáš Roubal)....Pages 57-80
On the Dynamic Programming Approach to Incentive Constraint Problems (Fausto Gozzi, Roberto Monte, M. Elisabetta Tessitore)....Pages 81-96
A Functional Analytic Approach to a Bolza Problem (Mikhail I. Krastanov, Nadezhda K. Ribarska)....Pages 97-117
On the Generalized Duality Principle for State-Constrained Control and State Estimation Under Impulsive Inputs (Alexander B. Kurzhanski)....Pages 119-146
Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices (Stanislav Harizanov, Svetozar Margenov)....Pages 147-163
A General Lagrange Multipliers Theorem and Related Questions (Andrei V. Dmitruk, Nikolai P. Osmolovskii)....Pages 165-194
Strict Dissipativity Implies Turnpike Behavior for Time-Varying Discrete Time Optimal Control Problems (Lars Grüne, Simon Pirkelmann, Marleen Stieler)....Pages 195-218
Front Matter ....Pages 195-195
Optimal Exploitation of Renewable Resources: Lessons in Sustainability from an Optimal Growth Model of Natural Resource Consumption (Sergey Aseev, Talha Manzoor)....Pages 221-245
(LNG) Arbitrage, Intertemporal Market Equilibrium and (Political) Uncertainty (Franz Wirl)....Pages 247-266
The Deterministic Optimal Liquidation Problem (Pavol Brunovský, Margaréta Halická, Mario Mitas)....Pages 267-278
Dynamic Models of the Firm with Green Energy and Goodwill (Herbert Dawid, Richard F. Hartl, Peter M. Kort)....Pages 279-296
An Extended Integrated Assessment Model for Mitigation and Adaptation Policies on Climate Change (Willi Semmler, Helmut Maurer, Anthony Bonen)....Pages 297-317
Front Matter ....Pages 297-297
Optimal Population Growth as an Endogenous Discounting Problem: The Ramsey Case (Raouf Boucekkine, Blanca Martínez, J. Ramon Ruiz-Tamarit)....Pages 321-347
Does Demography Change Wealth Inequality? (Miguel Sánchez-Romero, Stefan Wrzaczek, Alexia Prskawetz, Gustav Feichtinger)....Pages 349-375
Stability Analysis of a New E-rumor Model (Séverine Bernard, Ténissia Cesar, Alain Pietrus)....Pages 377-390
Optimal Spatiotemporal Management of Resources and Economic Activities Under Pollution Externalities (Anastasios Xepapadeas, Athanasios N. Yannacopoulos)....Pages 391-418
Some Regional Control Problems for Population Dynamics (Laura-Iulia Aniţa, Sebastian Aniţa, Vincenzo Capasso, Ana-Maria Moşneagu)....Pages 419-439

✦ Subjects

Economics; Economic Theory/Quantitative Economics/Mathematical Methods; Calculus of Variations and Optimal Control; Optimization; Operations Research/Decision Theory; Numerical Analysis; Environmental Management; Population Economics