Existence of Solutions to an Optimal Control Problem for a Hybrid System
In: The Bulletin of Irkutsk State University, Band 19, S. 129-135
ISSN: 2541-8785
3 Ergebnisse
Sortierung:
In: The Bulletin of Irkutsk State University, Band 19, S. 129-135
ISSN: 2541-8785
In: The Bulletin of Irkutsk State University. Series Mathematics, Band 35, S. 18-33
ISSN: 2541-8785
In this paper, we consider an optimal impulsive control problem with intermediate state constraints. The peculiarity of the problem consists in a non-standard way of specifying of intermediate constraints. So the constraints must be satisfied for at least one selection of a set-valued solution to the impulsive control system. We prove a theorem for the existence of an optimal control and propose the reduction procedure that transforms the initial optimal control problem with intermediate constraints into a hybrid problem with control parameters. This hybrid problem gives an equivalent description of the optimal impulsive control problem. We discuss a numerical algorithm based on a direct collocation method and give a schema to the corresponding numerical calculations for a test example.
In: The Bulletin of Irkutsk State University. Series Mathematics, Band 25, S. 126-143
ISSN: 2541-8785