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

## Main Article Content

## 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.

## Article Details

How to Cite

Glizer, V.
(2017).
Singularly perturbed set of periodic functional-differential equations arising in optimal control theory.

*Proceedings Of Equadiff 2017 Conference,*, 147-156. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/718/558
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