Averaging of a class of singularly perturbed control systems: a non-asymptotic result
We study a singularly perturbed control system whose variables are decomposed into groups that change their values with rates of different orders of magnitude. We establish that the slow trajectories of this system are dense in the set of solutions of a certain differential inclusion and discuss an implication of this result for optimal control.
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00498-024-00382-9
Files
Metadata
| Work Title | Averaging of a class of singularly perturbed control systems: a non-asymptotic result |
|---|---|
| Access | |
| Creators |
|
| License | In Copyright (Rights Reserved) |
| Work Type | Article |
| Publisher |
|
| Publication Date | September 1, 2024 |
| Publisher Identifier (DOI) |
|
| Deposited | February 17, 2025 |
Versions
Analytics
Collections
This resource is currently not in any collection.