Strict dissipativity

Shape turnpike for linear parabolic PDE models

Direct methods, Optimal shape design, Parabolic equation, Strict dissipativity, Turnpike

Lance G., Trélat E., Zuazua E. Shape turnpike for linear parabolic PDE models Syst. Control. Lett. Vol. 142 (2020). DOI: 10.1016/j.sysconle.2020.104733 Abstract: We introduce and study the turnpike property for…

Turnpike in optimal shape design

Direct methods, heat equation, Optimal shape design, Strict dissipativity, Turnpike

G. Lance, E. Trélat, E. Zuazua Turnpike in optimal shape design IFAC-PapersOnline, Vol. 52, No. 16 (2019), pp. 496-501, ISSN: 24058963, DOI: 10.1137/17M1119160 Abstract: We investigate the turnpike problem in…

Shape turnpike for linear parabolic PDE models

Turnpike in optimal shape design

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