| Title:
|
Singularly perturbed set of periodic functional-differential equations arising in optimal control theory (English) |
| Author:
|
Glizer, Valery Y. |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
147-156 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Periodic linear-quadratic optimal control problem, singularly perturbed delay system, small delay, periodic functional-differential matrix Riccati equations, asymptotic solution |
| MSC:
|
34H05 |
| MSC:
|
34K13 |
| MSC:
|
34K26 |
| MSC:
|
35F50 |
| . |
| Date available:
|
2019-09-27T07:50:41Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703045 |
| . |
| Reference:
|
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