Name
Abstract | ||
|---|---|---|
This paper presents a unified approach to formulating stability conditions for slowly time-varying linear systems and switched linear systems. The concept of total variation is generalized to the case of matrix-valued functions. Using this generalized concept, a result extending existing stability conditions for slowly time-varying linear systems is derived. As special cases of this result, two sets of stability conditions are derived for switched linear systems, which match known results in the literature. A numerical example is included to further illustrate the application of the main result. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.automatica.2018.06.025 | Automatica |
Keywords | Field | DocType |
Slowly time-varying systems,Switched systems,Linear systems,Stability | Linear system,Control theory,Stability conditions,Mathematics | Journal |
Volume | Issue | ISSN |
96 | 1 | 0005-1098 |
Citations | PageRank | References |
1 | 0.36 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaobin Gao | 1 | 7 | 3.23 |
| Daniel Liberzon | 2 | 2463 | 225.34 |
| Ji Liu | 3 | 146 | 26.61 |
| Tamer Basar | 4 | 3497 | 402.11 |