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Title: | Realization of Pseudo-Rational Input/Output Maps and Its Spectral Properties |
Authors: | YAMAMOTO, Yutaka |
Issue Date: | 31-Oct-1985 |
Publisher: | Faculty of Engineering, Kyoto University |
Journal title: | Memoirs of the Faculty of Engineering, Kyoto University |
Volume: | 47 |
Issue: | 4 |
Start page: | 221 |
End page: | 239 |
Abstract: | Realization of a special class of input/output maps is considered. A linear input/output map which belongs to this class is called pseudo-rational, and it behaves in a way similar to the input/output maps of finite-dimensional systems in the following sense : To determine the canonical state space, only the output data on a bounded time interval is needed. Central examples of this class of input/output maps are those of delay-differential systems. A concrete representation for the canonical space is given ; and then it is used to give an explicit differential equation description. Some spectral properties which are very similar to those of the delay-differential systems are also proved. Some examples are demonstrated to illustrate the realization procedure. |
URI: | http://hdl.handle.net/2433/281303 |
Appears in Collections: | Vol.47 Part 4 |

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