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.
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 Tragler is 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.