Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
697445 | Automatica | 2007 | 5 Pages |
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 WW function, from which we form the expression. We prove by counter-example that some expressions in other publications on Lambert WW for time-delay systems do not always hold.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Elias Jarlebring, Tobias Damm,