Abstract
In this paper, we study three definitions of the transfer function for an infinite-dimensional system. The first one defines the transfer function as the expression $C(sI-A)^{-1}B+D$. In the second definition, the transfer function is defined as the quotient of the Laplace transform of the output and input, with initial condition zero. In the third definition, we introduce the transfer function as the quotient of the input and output, when the input and output are exponentials. We show that these definitions always agree on the right-half plane bounded to the left by the growth bound of the underlying semigroup, but that they may differ elsewhere.
| Original language | Undefined |
|---|---|
| Title of host publication | Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems |
| Editors | B.L.M. de Moor, B. Motmans, J.C. Willems, P. van Dooren, V. Blondel |
| Place of Publication | Leuven |
| Publisher | Katholieke Universiteit Leuven |
| Pages | - |
| Number of pages | 5 |
| ISBN (Print) | 9056825178 |
| Publication status | Published - 2004 |
| Event | 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 - Leuven, Belgium Duration: 5 Jul 2004 → 9 Jul 2004 Conference number: 16 |
Publication series
| Name | |
|---|---|
| Publisher | Katholieke Universiteit Leuven |
Conference
| Conference | 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 |
|---|---|
| Abbreviated title | MTNS |
| Country/Territory | Belgium |
| City | Leuven |
| Period | 5/07/04 → 9/07/04 |
Keywords
- IR-70193
- METIS-233461
- MSC-93C25
- EWI-16826
- Infinite-dimensional system
- Transfer function