Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/257505 
Year of Publication: 
2021
Citation: 
[Journal:] Games [ISSN:] 2073-4336 [Volume:] 12 [Issue:] 1 [Article No.:] 23 [Publisher:] MDPI [Place:] Basel [Year:] 2021 [Pages:] 1-9
Publisher: 
MDPI, Basel
Abstract: 
This paper deals with an optimal control problem for a linear system of first-order hyperbolic equations with a function on the right-hand side determined from controlled bilinear ordinary differential equations. These ordinary differential equations are linear with respect to state functions with controlled coefficients. Such problems arise in the simulation of some processes of chemical technology and population dynamics. Normally, general optimal control methods are used for these problems because of bilinear ordinary differential equations. In this paper, the problem is reduced to an optimal control problem for a system of ordinary differential equations. The reduction is based on non-classic exact increment formulas for the cost-functional. This treatment allows to use a number of efficient optimal control methods for the problem. An example illustrates the approach.
Subjects: 
hybrid systems
hyperbolic equations
non-classic increment formulas
reduction of optimal control problems
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Appears in Collections:

Files in This Item:
File
Size





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.