Publications in Scientific Journals:
S. Aseev, V.M. Veliov:
"Needle Variations in Infinite-Horizon Optimal Control.";
Communications in Contemporary Mathematics,
619
(2014),
1
- 17.
English abstract:
The paper develops the needle variations technique for a class
of infinite-horizon optimal control problems in which an appropriate relation between the growth rate of the solution and the growth rate of the objective function is satisfied. The optimal objective value does not need to be finite.
Based on the concept of weakly overtaking optimality, we establish a normal form version of the Pontryagin maximum principle with an explicitly specified adjoint variable. A few illustrative examples are presented as well.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1090/conm/619/12381
Created from the Publication Database of the Vienna University of Technology.