Shao, Zhenhua (2023) On the poles of two-time-scale systems. The Journal of Engineering, 2023 (1). Art. No. e12209. ISSN 2051-3305. doi:10.1049/tje2.12209. https://resolver.caltech.edu/CaltechAUTHORS:20230125-514893900.21
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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.
| Item Type: | Article | ||||||
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| 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. | ||||||
| Issue or Number: | 1 | ||||||
| DOI: | 10.1049/tje2.12209 | ||||||
| Record Number: | CaltechAUTHORS:20230125-514893900.21 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20230125-514893900.21 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 118941 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Research Services Depository | ||||||
| Deposited On: | 22 Feb 2023 19:24 | ||||||
| Last Modified: | 22 Feb 2023 19:24 |
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