Name
Title | ||
|---|---|---|
Preservation of quadratic stability under various common approximate discretization methods. |
Abstract | ||
|---|---|---|
In this paper we prove the following result. If A is a Hurwitz matrix and f is a rational function that maps the open left half of the complex plane into the open unit disc, then any Hermitian matrix P>0 which is a Lyapunov matrix for A (that is, PA+A∗P<0) is also a Stein matrix for f(A) (that is, f(A)∗Pf(A)−P<0). |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.sysconle.2013.09.003 | Systems & Control Letters |
Keywords | Field | DocType |
Discretization,Lyapunov matrix,Stein matrix,Quadratic stability,A-stability | Lyapunov function,Mathematical optimization,Lyapunov equation,Matrix (mathematics),Matrix function,Square matrix,Symmetric matrix,Matrix exponential,Hurwitz matrix,Mathematics | Journal |
Volume | ISSN | Citations |
63 | 0167-6911 | 0 |
PageRank | References | Authors |
0.34 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Martin J. Corless | 1 | 60 | 6.44 |
| S. Sajja | 2 | 18 | 3.83 |
| Robert Shorten | 3 | 269 | 24.19 |