3 papers
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…
math.OC2023
Regularity of multipliers and second-order optimality conditions of KKT-type for semilinear parabolic control problems
Huynh Khanh, Bui Trong Kien
A class of optimal control problems governed by semilinear parabolic equations with mixed constraints and a box constraint for control variable is considered. We show that if the s…