Article
| Title: | Finite time stability and relative controllability of second order linear differential systems with pure delay (English) |
| Author: | Li, Mengmeng |
| Author: | Fečkan, Michal |
| Author: | Wang, JinRong |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 68 |
| Issue: | 3 |
| Year: | 2023 |
| Pages: | 305-327 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We first consider the finite time stability of second order linear differential systems with pure delay via giving a number of properties of delayed matrix functions. We secondly give sufficient and necessary conditions to examine that a linear delay system is relatively controllable. Further, we apply the fixed-point theorem to derive a relatively controllable result for a semilinear system. Finally, some examples are presented to illustrate the validity of the main theorems. (English) |
| Keyword: | finite time stability |
| Keyword: | relative controllability |
| Keyword: | second order |
| Keyword: | delayed matrix function |
| MSC: | 34K05 |
| MSC: | 93C05 |
| idZBL: | Zbl 07729499 |
| idMR: | MR4586124 |
| DOI: | 10.21136/AM.2022.0249-21 |
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| Date available: | 2023-05-04T17:37:51Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151656 |
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