optimal control problems

Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems

optimal control problems, Riccati operator, slow decay rate, turnpike property, weak controllability and observability

Zhong-Jie Han, E. Zuazua, Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems (2021) Abstract: This paper is devoted to analysing the explicit slow decay rate and turnpike in the…

The turnpike property in nonlinear optimal control – A geometric approach

dynamical system theory, general dynamical systems, geometric approach, nonlinear optimal control, optimal control problems, turnpike property, turnpike-like property

N. Sakamoto, D. Pighin, E. Zuazua The turnpike property in nonlinear optimal control - A geometric approach. IEEE 58th Conference on Decision and Control (CDC) (2020). DOI: 10.1109/CDC40024.2019.9028863 Abstract: This paper…

Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems

The turnpike property in nonlinear optimal control – A geometric approach

Greedy search of optimal approximate solutions

Control of reaction-diffusion models in biology and social sciences

The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

Optimal actuator design via Brunovsky’s normal form

Turnpike in Optimal Control PDES, ResNets, and beyond