Seminar Details
2026-04-07 (14:00) : Pattern-preserving optimal control problems with increasing time-horizon
At Euler building (room A.002)
Organized by Mathematical Engineering
Speaker :
Matteo Della Rossa (Politecnico of Torino)
Abstract :
In this seminar, within the framework of general optimal control theory, we investigate the following question: under which conditions the "structure/pattern" of optimal controls on finite horizons is preserved in the infinite-horizon problem, i.e., as the final time grows unboundedly and tends to infinity? To address this question, we introduce a notion of pattern-preserving family of optimal control problems and show how this property can be characterized via Gamma-convergence of the associated variational formulations. We also discuss important limitations and features of this approach, including counterexamples, scenarios with state constraints, and systems governed by dissipative state equations (in the sense of J.C. Willems). To illustrate the theoretical results, we present several examples and applications, with particular emphasis on a simple epidemic control problem as a real-world case study.