3 papers
math.OC2025
On space-time FEM for time-optimal control problems governed by parabolic equations with mixed and endpoints constraints
Huynh Khanh, Bui Trong Kien
In this paper, we consider a class of time-optimal control problems governed by linear parabolic equations with mixed control-state constraints and end-point constraints, and witho…
math.OC2024
KKT Optimality Conditions for Multiobjective Optimal Control Problems with Endpoint and Mixed Constraints: Application to Sustainable Energy Management
Samir Adly, Bui Trong Kien
In this paper, we derive first and second-order optimality conditions of KKT type for locally optimal solutions to a class of multiobjective optimal control problems with endpoint…
math.OC2024
Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations
Huynh Khanh, Bui Trong Kien, Arnd Rösch
A class of time-optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints and final point constraints is considered. By introducing the s…