Published January 2023
| public
Journal Article
On the poles of two-time-scale systems
- Creators
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Shao, Zhenhua
Abstract
In this note, the authors will study how the poles of a linear time-invariant singularly perturbed system are varied versus singular parameter ε, where the poles of the slow and fast subsystems are assumed to be placed in the prescribed regions. An explicit bound is derived such that the poles of the original full order system remain in these regions. Finally, two examples are illustrated to show the applications of the proposed results.
Additional Information
The author would like to thank the anonymous reviewers for their very detailed and helpful comments that greatly improved the quality of this note. It is my independent study. There is no funding for this work.Additional details
- Eprint ID
- 118941
- Resolver ID
- CaltechAUTHORS:20230125-514893900.21
- Created
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2023-02-22Created from EPrint's datestamp field
- Updated
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2023-02-22Created from EPrint's last_modified field