The analytic solution to an optimal control problem is investigated using the canonical dual method. By means of the Pontryagin principle and a transformation of the cost functional, the optimal control of a nonconvex problem is obtained. It turns out that the optimal control can be expressed by the costate via canonical dual variables. Some examples are illustrated
Abstract This paper revisits the well-studied fixed point problem from a unified viewpoint of mathem...
An extended canonical dual approach for solving 0-1 quadratic programming problems is introduced. We...
this paper presents a novel method for solving nonlinear optimal conrol problems of regular type via...
This paper presents some applications of the canonical dual theory in optimal control problems. The ...
In this article, it is considered a class of optimal control problems constrained by differential an...
The paper presents a few remarks on the evolution of Irkutsk’s school of O. V. Vasiliev on optimal c...
—The canonical optimal control problem is considered for a linear time-dependent system in the class...
Canonical Duality Theory is a versatile and potentially powerful method-ology which is composed main...
This paper presents a canonical duality theory for solving general nonconvex/discrete constrained mi...
A new primal–dual algorithm is presented for solving a class of nonconvex minimization problems. Thi...
In this paper, we study general fixed point problem. We first rewrite the original problem in the ca...
This paper presents a canonical dual approach for solving general non- linear algebraic systems. By ...
AbstractIn this paper, the canonical dual function (Gao, 2004 [4]) is used to solve a global optimiz...
This paper presents a canonical dual approach for solving a non-linear population growth problem gov...
The singular linear-quadratic control problem without stability is solved by means of a generalized ...
Abstract This paper revisits the well-studied fixed point problem from a unified viewpoint of mathem...
An extended canonical dual approach for solving 0-1 quadratic programming problems is introduced. We...
this paper presents a novel method for solving nonlinear optimal conrol problems of regular type via...
This paper presents some applications of the canonical dual theory in optimal control problems. The ...
In this article, it is considered a class of optimal control problems constrained by differential an...
The paper presents a few remarks on the evolution of Irkutsk’s school of O. V. Vasiliev on optimal c...
—The canonical optimal control problem is considered for a linear time-dependent system in the class...
Canonical Duality Theory is a versatile and potentially powerful method-ology which is composed main...
This paper presents a canonical duality theory for solving general nonconvex/discrete constrained mi...
A new primal–dual algorithm is presented for solving a class of nonconvex minimization problems. Thi...
In this paper, we study general fixed point problem. We first rewrite the original problem in the ca...
This paper presents a canonical dual approach for solving general non- linear algebraic systems. By ...
AbstractIn this paper, the canonical dual function (Gao, 2004 [4]) is used to solve a global optimiz...
This paper presents a canonical dual approach for solving a non-linear population growth problem gov...
The singular linear-quadratic control problem without stability is solved by means of a generalized ...
Abstract This paper revisits the well-studied fixed point problem from a unified viewpoint of mathem...
An extended canonical dual approach for solving 0-1 quadratic programming problems is introduced. We...
this paper presents a novel method for solving nonlinear optimal conrol problems of regular type via...