Datum predavanja: ponedjeljak, 9.6.2025.
Vrijeme predavanja: 14h

Mara Vlašić, UNIDU
Title: Dissipativity in Optimal Control – Turnpikes, Predictive Control, and Uncertainty

Abstract:
The concept of dissipativity in optimal control provides a powerful framework for understanding the long-term behavior of dynamical systems. Originating from physics, dissipativity describes systems that lose energy over time and tend to settle around equilibrium states. When a system exhibits strict dissipativity, its trajectories naturally converge toward an optimal steady state, leading to the emergence of the turnpike property – the phenomenon where optimal solutions remain close to equilibrium for most of the time horizon.
The study investigates how dissipativity explains the urnpike behavior and its implications for the design and analysis of Model Predictive Control (MPC). Establishing a link between strict dissipativity and turnpike properties enables a deeper understanding of stability, optimality, and efficiency in control systems, even when operating under short prediction horizons.