In her paper entitled “Asymptotic stabilization of control constrained dynamical systems via optimal control – a duality based approach”, Katharina Kolo and her co-authors address the question of how systems can be stabilized exponentially.
Such systems, which can be described by differential equations, can be found in many areas of engineering (for example the inverse pendulum) or in biology (for example the predator-prey model of Lotka-Volterra).
The question is: How can “from the outside” (for example by pushing the pendulum or targeted fishing or releasing predators) be intervened in such systems to bring them to a state desired by the user?
The presented work is the result of a collaboration with the researchers Dr. Sabine Pickenhain and Dr. Valeriya Lykina from the chair “Mathematics especially Optimization” at the BTU Cottbus-Senftenberg, where Dr. Kolo worked as a research assistant before joining TITUS.
(The formulation of an optimal control problem (over the infinite time horizon) is used. Functional analytical approaches finally allow the analytical and numerical treatment via the formulation of a dual problem).
About the conference:
The “Conference on Optimal Control and Dynamic Games” has been held regularly every three years since 1981. This year it takes place from 12 – 15 July. The organizer is the research department for “Operations Research and Control Systems (ORCOS) at the Institute of Stochastics and Mathematical Economics at the Vienna University of Technology.
The conference aims to bring together researchers in optimal control, dynamic games, and nonlinear dynamical systems, as well as scientists in all application areas. The workshop topics will include the theory and numerical methods of optimal control of ordinary and distributed systems, differential games, related topics in optimization theory and dynamical systems theory, and a broad spectrum of applications involving dynamic models in economics (including population, health and environmental economics), demography, biology, social sciences, engineering, etc.
Find out more about the conference and its program: https://orcos.tuwien.ac.at/events/vc2022/