5 papers
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…
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…
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…
Second-order optimality conditions for multiobjective optimization problems with constraints
Nguyen Quang Huy, Bui Trong Kien, Gue Myung Lee +1
In this paper, we introduce the second-order subdifferentials for functions which are Gâteaux differentiable on an open set and whose Gâteaux derivative mapping is locally Lipschit…
Second-order KKT optimality conditions for multi-objective optimal control problems
Bui Trong Kien, Nguyen Van Tuyen, Jen-Chih Yao
In this paper, we study second-order necessary and sufficient optimality conditions of Karush--Kuhn--Tucker-type for locally optimal solutions in the sense of Pareto to a class of…