Kalman rank condition

Optimal actuator design via Brunovsky’s normal form

Brunovsky normal form, Controllability, finite-dimensional systems, Kalman rank condition, lumped control, optimal actuator design.

B. Geshkovski, E. Zuazua, Optimal actuator design via Brunovsky's normal form IEEE Automatic Control (2022) DOI: 10.1109/TAC.2022.3181222 Abstract: In this paper, by using the Brunovsky normal form, we provide a…

Turnpike in Optimal Control PDES, ResNets, and beyond

Brunovsky normal form, Controllability, finite-dimensional systems, Kalman rank condition, lumped control, optimal actuator design.

B. Geshkovski, E. Zuazua, Turnpike in Optimal Control PDES, ResNets and beyond (2022) Acta Numer., Vol. 31, pp. 135-263. doi:10.1017/S0962492922000046 Abstract: The turnpike property in contemporary macroeconomics asserts that if…

Optimal actuator design via Brunovsky’s normal form

Turnpike in Optimal Control PDES, ResNets, and beyond

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