Singularly perturbed set of periodic functional-differential equations arising in optimal control theory

Glizer, Valery Y.

  • Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 147-156

Abstract

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We consider the singularly perturbed set of periodic functional-differential matrix Riccati equations, associated with a periodic linear-quadratic optimal control problem for a singularly perturbed delay system. The delay is small of order of a small positive multiplier for a part of the derivatives in the system. A zero-order asymptotic solution to this set of Riccati equations is constructed and justified.

How to cite

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Glizer, Valery Y.. "Singularly perturbed set of periodic functional-differential equations arising in optimal control theory." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 147-156. <http://eudml.org/doc/294891>.

@inProceedings{Glizer2017,
abstract = {We consider the singularly perturbed set of periodic functional-differential matrix Riccati equations, associated with a periodic linear-quadratic optimal control problem for a singularly perturbed delay system. The delay is small of order of a small positive multiplier for a part of the derivatives in the system. A zero-order asymptotic solution to this set of Riccati equations is constructed and justified.},
author = {Glizer, Valery Y.},
booktitle = {Proceedings of Equadiff 14},
keywords = {Periodic linear-quadratic optimal control problem, singularly perturbed delay system, small delay, periodic functional-differential matrix Riccati equations, asymptotic solution},
location = {Bratislava},
pages = {147-156},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Singularly perturbed set of periodic functional-differential equations arising in optimal control theory},
url = {http://eudml.org/doc/294891},
year = {2017},
}

TY - CLSWK
AU - Glizer, Valery Y.
TI - Singularly perturbed set of periodic functional-differential equations arising in optimal control theory
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 147
EP - 156
AB - We consider the singularly perturbed set of periodic functional-differential matrix Riccati equations, associated with a periodic linear-quadratic optimal control problem for a singularly perturbed delay system. The delay is small of order of a small positive multiplier for a part of the derivatives in the system. A zero-order asymptotic solution to this set of Riccati equations is constructed and justified.
KW - Periodic linear-quadratic optimal control problem, singularly perturbed delay system, small delay, periodic functional-differential matrix Riccati equations, asymptotic solution
UR - http://eudml.org/doc/294891
ER -

References

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