Creator:

Gugat, Martin ; Lazar, Martin

Contributor:

Foryś, Urszula - ed. ; Rejniak, Katarzyna - ed. ; Pękala, Barbara - ed. ; Bartłomiejczyk, Agnieszka - ed.

Title:

Optimal control problems without terminal constraints: The turnpike property with interior decay

Subtitle:

.

Group publication title:

AMCS, volume 33 (2023)

Subject and Keywords:

optimal control ; turnpike property ; system with hyperbolic PDEs ; interior decay

Abstract:

We show a turnpike result for problems of optimal control with possibly nonlinear systems as well as pointwise-in-time state and control constraints. The objective functional is of integral type and contains a tracking term which penalizes the distance to a desired steady state. In the optimal control problem, only the initial state is prescribed. We assume that a cheap control condition holds that yields a bound for the optimal value of our optimal control problem in terms of the initial data.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2023

Resource Type:

artykuł

DOI:

10.34768/amcs-2023-0031

Pages:

429-438

Source:

AMCS, volume 33, number 3 (2023) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego