Name
Title | ||
|---|---|---|
Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation |
Abstract | ||
|---|---|---|
Topological separation is investigated in the case of an uncertain time-invariant matrix interconnected with an implicit linear transformation. A quadratic separator independent of the uncertainty is shown to prove losslessly the closed-loop well-posedness. Several applications for LTI descriptor system analysis are then given. First, some known results for stability and pole location of descriptor systems are demonstrated in a new way. Second, contributions to robust stability analysis and time-delay systems stability analysis are exposed. These prove to be new even when compared to results for usual LTI systems (not in descriptor form). All results are formulated as linear matrix inequalities (LMIs). |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.automatica.2006.11.005 | Automatica |
Keywords | Field | DocType |
LMI,Control | Applied mathematics,Matrix (mathematics),Control theory,Pole location,Quadratic equation,Descriptor systems,Linear map,Mathematics | Journal |
Volume | Issue | ISSN |
43 | 5 | Automatica |
Citations | PageRank | References |
56 | 3.25 | 17 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dimitri Peaucelle | 1 | 309 | 31.56 |
| Denis Arzelier | 2 | 279 | 26.58 |
| Didier Henrion | 3 | 987 | 88.48 |
| Frédéric Gouaisbaut | 4 | 464 | 26.33 |