32 citations · 147 across the 27 of their papers we have counts for
4 papers · 1 filter
Optimal management of harvested population at the edge of extinction
Mickaël D. Chekroun, Honghu Liu
Optimal control of harvested population at the edge of extinction in an unprotected area, is considered. The underlying population dynamics is governed by a Kolmogorov-Petrovsky-Pi…
Galerkin approximations for the optimal control of nonlinear delay differential equations
Mickaël D. Chekroun, Axel Kröner, Honghu Liu
Optimal control problems of nonlinear delay differential equations (DDEs) are considered for which we propose a general Galerkin approximation scheme built from Koornwinder polynom…
Galerkin approximations of nonlinear optimal control problems in Hilbert spaces
Mickaël D. Chekroun, Axel Kröner, Honghu Liu
Nonlinear optimal control problems in Hilbert spaces are considered for which we derive approximation theorems for Galerkin approximations. Approximation theorems are available in…
Finite-Horizon Parameterizing Manifolds, and Applications to Suboptimal Control of Nonlinear Parabolic PDEs
Mickaël D. Chekroun, Honghu Liu
This article proposes a new approach based on finite-horizon parameterizing manifolds (PMs) for the design of low-dimensional suboptimal controllers to optimal control problems of…