Add to ORKGDedicated to the memory of Almaskhan Gugushvili Abstract. We obtain a version of Noether’s invariance theorem for opti-mal control problems with a finite number of cost functionals. The result is obtained by formulating E. Noether’s result for optimal control problems sub-ject to isoperimetric constraints, and then using the unimprovable (Pareto) notion of optimality. It was A. Gugushvili who drew the author’s attention to a result of this kind that was posed as an open mathematical question of a great interest in applications of control engineering
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
Ce papier propose un algorithme d'optimisation pour résoudre de manière itérative les problèmes de c...
(M.Sc.) North-West University, Mafikeng Campus, 2005We study in optimal control the important relati...
Abstract: We study in optimal control the important relation between invariance of the problem under...
We present analytic computational tools that permit us to identify, in an automatic way, conservati...
It is well known that, if a control is Pareto optimal for a multiobjective optimal control problem, ...
http://dx.doi.org/10.1109/PHYCON.2005.1513965We prove a Noether-type symmetry theorem for invariant ...
We obtain a generalization of E. Noether's theorem for the optimal control problems. The generalizat...
Optimal control problems are usually addressed with the help of the famous Pontryagin Maximum Princi...
We study a class of optimization problems of Mayer form, for the strictly hyperbolic nonlinear cont...
AbstractThis paper provides a new simple version of Noether's theorem. From symmetries of dynamic op...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
This paper proposes an optimization algorithm to solve iteratively optimal control problems involvin...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
Ce papier propose un algorithme d'optimisation pour résoudre de manière itérative les problèmes de c...
(M.Sc.) North-West University, Mafikeng Campus, 2005We study in optimal control the important relati...
Abstract: We study in optimal control the important relation between invariance of the problem under...
We present analytic computational tools that permit us to identify, in an automatic way, conservati...
It is well known that, if a control is Pareto optimal for a multiobjective optimal control problem, ...
http://dx.doi.org/10.1109/PHYCON.2005.1513965We prove a Noether-type symmetry theorem for invariant ...
We obtain a generalization of E. Noether's theorem for the optimal control problems. The generalizat...
Optimal control problems are usually addressed with the help of the famous Pontryagin Maximum Princi...
We study a class of optimization problems of Mayer form, for the strictly hyperbolic nonlinear cont...
AbstractThis paper provides a new simple version of Noether's theorem. From symmetries of dynamic op...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
This paper proposes an optimization algorithm to solve iteratively optimal control problems involvin...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
Ce papier propose un algorithme d'optimisation pour résoudre de manière itérative les problèmes de c...