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Article: Estimation of reachable set for switched singular systems with time-varying delay and state jump
| Title | Estimation of reachable set for switched singular systems with time-varying delay and state jump |
|---|---|
| Authors | |
| Issue Date | 1-Nov-2023 |
| Publisher | Elsevier |
| Citation | Applied Mathematics and Computation, 2023, v. 456 How to Cite? |
| Abstract | This paper addresses the estimation problem of the reachable set for switched singular systems with state jump under initial condition and bounded peak disturbance. The aim is to determine a bounded set that contains all reachable states. Initially, a state jump lemma is presented for switched singular systems. Then, a new bounding lemma is shown by analyzing the variation of piecewise continuous functional in subintervals and referencing the definition of the average dwell-time. Afterwards, using lemmas and linear matrix inequalities, sufficient conditions are derived for switched singular systems with and without time-varying delay, which ensure that the state trajectory of the system remains within a closed bounded set. Finally, the obtained results are validated through numerical examples. |
| Persistent Identifier | http://hdl.handle.net/10722/347692 |
| ISSN | 2023 Impact Factor: 3.5 2023 SCImago Journal Rankings: 1.026 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Feng, Zhiguang | - |
| dc.contributor.author | Zhang, Xinyue | - |
| dc.contributor.author | Lam, James | - |
| dc.contributor.author | Fan, Chenchen | - |
| dc.date.accessioned | 2024-09-27T00:30:22Z | - |
| dc.date.available | 2024-09-27T00:30:22Z | - |
| dc.date.issued | 2023-11-01 | - |
| dc.identifier.citation | Applied Mathematics and Computation, 2023, v. 456 | - |
| dc.identifier.issn | 0096-3003 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/347692 | - |
| dc.description.abstract | <p>This paper addresses the estimation problem of the reachable set for switched singular systems with state jump under initial condition and bounded peak disturbance. The aim is to determine a bounded set that contains all reachable states. Initially, a state jump lemma is presented for switched singular systems. Then, a new bounding lemma is shown by analyzing the variation of piecewise continuous functional in subintervals and referencing the definition of the average dwell-time. Afterwards, using lemmas and linear matrix inequalities, sufficient conditions are derived for switched singular systems with and without time-varying delay, which ensure that the state trajectory of the system remains within a closed bounded set. Finally, the obtained results are validated through numerical examples.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation.ispartof | Applied Mathematics and Computation | - |
| dc.title | Estimation of reachable set for switched singular systems with time-varying delay and state jump | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1016/j.amc.2023.128132 | - |
| dc.identifier.volume | 456 | - |
| dc.identifier.eissn | 1873-5649 | - |
| dc.identifier.issnl | 0096-3003 | - |