CONTROL OPTIMALITY CONDITIONS FOR PROBLEM, STATE EQUATION OF WHICH ARE DISCONTINUOUS IN INTERMEDIATE POINTS
Authors:
1.
Voronezh State University of Forestry and Technologies named after G.F. Morozov
Russian Federation
Russian Federation
Type:
Article
Pages:
from 334
to 336
Status:
Published
Received:
29.08.2014
Accepted:
10.10.2014
Published:
10.10.2014
Language:
Russian
Keywords:
control optimality conditions, intermediate points
Abstract (English):
We will obtain a linear–quadratic optimal control problem when the performance index depending on linear and quadratic forms with respect to the differences between the state variable values in fixed points and given values. The state equation presents systems with consecutive modes of functioning where the switching moments and conditions of joining are set. The necessary and sufficient control optimality conditions in the Pontryagin’s maximum principle forms are received; resolvability of a problem of a considered class is proved.
We will obtain a linear–quadratic optimal control problem when the performance index depending on linear and quadratic forms with respect to the differences between the state variable values in fixed points and given values. The state equation presents systems with consecutive modes of functioning where the switching moments and conditions of joining are set. The necessary and sufficient control optimality conditions in the Pontryagin’s maximum principle forms are received; resolvability of a problem of a considered class is proved.
Keywords:
control optimality conditions, intermediate points
control optimality conditions, intermediate points
Рассматривается задача минимизации функционала.
1. Kurina, G. A. Asimptoticheskoe reshenie nekotorykh zadach optimal´nogo upravleniya s promezhutochnymi tochkami v kriterii kachestva i malym parametrom / G. A. Kurina, E. V. Smirnova. Sovremennaya matematika. Fundamental´nye napravleniya.- Moskva: RUDN, 2009. - T. 34. - S. 63-99
