Aug 12 – 16, 2024
Von-Melle-Park 8
Europe/Berlin timezone

Bellman equation for risk-sensitive control with superlinear cost

Aug 13, 2024, 9:30 AM
30m
Seminarraum 206 (Von-Melle-Park 8)

Seminarraum 206

Von-Melle-Park 8

Minisymposium Contribution MS 09: Stochastic Modeling and Control MS 09: Stochastic Modeling and Control

Speaker

Dariusz Zawisza (Jagiellonian University)

Description

We consider the finite horizon risk-sensitive control problem for a system driven by a standard Brownian motion. We control the system only through the drift, the control set is unbounded, and the cost/reward function is superlinear with respect to the control variable. To solve the problem, we use the HJB theory and prove that the associated PDE admits a classical ($C^{2,1}$) solution.

Author

Dariusz Zawisza (Jagiellonian University)

Presentation materials

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