Abstract
This paper studies the spectral properties of mon-odromy operators, which play an important role in stability analysis of linear time-invariant time-delay feedback systems. The paper is motivated by the fact that this operator can actually be defined naturally on four spaces, where the difference stems from different choices for the function space on which the infinite-dimensional state of such a time-delay system is assumed to take its value. It is first shown that the spectrum of the monodromy operator is independent of the spaces on which it is defined. It is further shown that the operator spectrum is continuous at monodromy operators, which is a crucial fundamental fact in justifying the spectrum computation of the monodromy operator through its approximation by any sort of tractable operators.
| Original language | English |
|---|---|
| Title of host publication | 2013 9th Asian Control Conference, ASCC 2013 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
| Event | 2013 9th Asian Control Conference, ASCC 2013 - Istanbul, Turkey Duration: Jun 23 2013 → Jun 26 2013 |
Other
| Other | 2013 9th Asian Control Conference, ASCC 2013 |
|---|---|
| Country | Turkey |
| City | Istanbul |
| Period | 6/23/13 → 6/26/13 |
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ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
A study on the spectrum of monodromy operator for a time-delay system. / Kim, Jung Hoon; Hagiwara, Tomomichi; Hirata, Kentaro.
2013 9th Asian Control Conference, ASCC 2013. 2013. 6606024.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - A study on the spectrum of monodromy operator for a time-delay system
AU - Kim, Jung Hoon
AU - Hagiwara, Tomomichi
AU - Hirata, Kentaro
PY - 2013
Y1 - 2013
N2 - This paper studies the spectral properties of mon-odromy operators, which play an important role in stability analysis of linear time-invariant time-delay feedback systems. The paper is motivated by the fact that this operator can actually be defined naturally on four spaces, where the difference stems from different choices for the function space on which the infinite-dimensional state of such a time-delay system is assumed to take its value. It is first shown that the spectrum of the monodromy operator is independent of the spaces on which it is defined. It is further shown that the operator spectrum is continuous at monodromy operators, which is a crucial fundamental fact in justifying the spectrum computation of the monodromy operator through its approximation by any sort of tractable operators.
AB - This paper studies the spectral properties of mon-odromy operators, which play an important role in stability analysis of linear time-invariant time-delay feedback systems. The paper is motivated by the fact that this operator can actually be defined naturally on four spaces, where the difference stems from different choices for the function space on which the infinite-dimensional state of such a time-delay system is assumed to take its value. It is first shown that the spectrum of the monodromy operator is independent of the spaces on which it is defined. It is further shown that the operator spectrum is continuous at monodromy operators, which is a crucial fundamental fact in justifying the spectrum computation of the monodromy operator through its approximation by any sort of tractable operators.
UR - http://www.scopus.com/inward/record.url?scp=84886513694&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84886513694&partnerID=8YFLogxK
U2 - 10.1109/ASCC.2013.6606024
DO - 10.1109/ASCC.2013.6606024
M3 - Conference contribution
AN - SCOPUS:84886513694
SN - 9781467357692
BT - 2013 9th Asian Control Conference, ASCC 2013
ER -