Name
Abstract | ||
|---|---|---|
In this note we find an explicit expression for the eigenvalues of a retarded time-delay system with one delay, for the special case that the system matrices are simultaneously triangularizable, which includes the case where they commute. Using matrix function definitions we define a matrix version of the Lambert W function, from which we form the expression. We prove by counter-example that some expressions in other publications on Lambert W for time-delay systems do not always hold. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.automatica.2007.04.001 | Automatica |
Keywords | Field | DocType |
Lambert W function,Linear time-delay systems,Simultaneous triangularization,Matrix function,Jordan canonical form | Mathematical optimization,Linear system,Matrix (mathematics),Lambert W function,Matrix function,Pure mathematics,Canonical form,Calculus,Mathematics,Eigenvalues and eigenvectors,Multidimensional systems,Special case | Journal |
Volume | Issue | ISSN |
43 | 12 | 0005-1098 |
Citations | PageRank | References |
8 | 0.59 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jarlebring Elias | 1 | 84 | 11.48 |
| Tobias Damm | 2 | 147 | 12.08 |