| Title:
|
A stochastic version of Vidyasagar theorem on the stabilization of interconnected systems (English) |
| Author:
|
Florchinger, Patrick |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
61 |
| Issue:
|
6 |
| Year:
|
2025 |
| Pages:
|
752-761 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The purpose of this paper is to provide sufficient conditions for the feedback asymptotic stabilization in probability for a class of affine in the control nonlinear stochastic differential systems. In fact, under the assumptions stated in this paper we prove the existence of a control Lyapunov function that according to the stochastic version of Artstein's theorem guarantees the asymptotic stability in probability by means of a state feedback law that is smooth except eventually at the equilibrium. This result generalizes the well-known theorem of Vidyasagar concerning the feedback stabilization problem for interconnected control systems. (English) |
| Keyword:
|
asymptotic stability in probability |
| Keyword:
|
control Lyapunov function |
| Keyword:
|
smooth state feedback law |
| MSC:
|
60H10 |
| MSC:
|
93C10 |
| MSC:
|
93D05 |
| MSC:
|
93D15 |
| MSC:
|
93E15 |
| DOI:
|
10.14736/kyb-2025-6-0752 |
| . |
| Date available:
|
2026-01-07T11:16:08Z |
| Last updated:
|
2026-01-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153263 |
| . |
| Reference:
|
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| . |
