Name
Title | ||
|---|---|---|
Two dual classes of time-varying well-posed linear systems constructed from passive systems |
Abstract | ||
|---|---|---|
We introduce two classes of well-posed linear time-varying (LTV) systems. Each of these can be constructed easily, starting from a time-invariant scattering-passive system, by introducing a time-dependent inner product on the state space and modifying some of the generating operators. These classes of LTV systems are motivated by physical examples, such as an electromagnetic field around a moving object. To prove the well-posedness of these LTV systems, we use the Lax-Phillips semigroup induced by a well-posed linear system, as in scattering theory. We modify this semigroup to obtain a Lax-Phillips type evolution family. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/CDC.2005.1583102 | conference on decision and control |
Keywords | DocType | ISSN |
hilbert space,linear systems,terminology,electromagnetic fields,scattering theory,state space,electromagnetic field,inner product,partial differential equations | Conference | 0743-1546 |
ISBN | Citations | PageRank |
0-7803-9567-0 | 0 | 0.34 |
References | Authors | |
2 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| George Weiss | 1 | 316 | 64.49 |
| Schnaubelt, R. | 2 | 0 | 0.34 |