Stabilization criteria for continuous linear time-invariant systems with constant lags
Some criteria for asymptotic stability of linear and time-invariant systems with constant point delays are derived. Such criteria are concerned with the properties of robust stability related to two relevant auxiliary delay-free systems which are built by deleting the delayed dynamics or considering...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/87062 |
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| _version_ | 1832565074886131712 |
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| author | M. De La Sen |
| author_facet | M. De La Sen |
| author_sort | M. De La Sen |
| collection | DOAJ |
| description | Some criteria for asymptotic stability of linear and
time-invariant systems with constant point delays are derived.
Such criteria are concerned with the properties of robust
stability related to two relevant auxiliary delay-free systems
which are built by deleting the delayed dynamics or considering
that the delay is zero. Explicit asymptotic stability results,
easy to test, are given for both the unforced and closed-loop
systems when the stabilizing controller for one of the auxiliary
delay-free systems is used for the current time-delay system. The
proposed techniques include frequency domain analysis techniques
including the use of H∞ norms. |
| format | Article |
| id | doaj-art-15522b9a0de04e7bb767f00494aa367f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-15522b9a0de04e7bb767f00494aa367f2025-02-03T01:09:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/8706287062Stabilization criteria for continuous linear time-invariant systems with constant lagsM. De La Sen0Departamento de Electricidad y Electrónica, Instituto de Investigación y Desarrollo de Procesos (IIDP), Facultad de Ciencias, Universidad del País Vasco, Leioa (Bizkaia), Aptdo, 644 de Bilbao 48080-Bilbao, SpainSome criteria for asymptotic stability of linear and time-invariant systems with constant point delays are derived. Such criteria are concerned with the properties of robust stability related to two relevant auxiliary delay-free systems which are built by deleting the delayed dynamics or considering that the delay is zero. Explicit asymptotic stability results, easy to test, are given for both the unforced and closed-loop systems when the stabilizing controller for one of the auxiliary delay-free systems is used for the current time-delay system. The proposed techniques include frequency domain analysis techniques including the use of H∞ norms.http://dx.doi.org/10.1155/DDNS/2006/87062 |
| spellingShingle | M. De La Sen Stabilization criteria for continuous linear time-invariant systems with constant lags Discrete Dynamics in Nature and Society |
| title | Stabilization criteria for continuous linear time-invariant systems with constant lags |
| title_full | Stabilization criteria for continuous linear time-invariant systems with constant lags |
| title_fullStr | Stabilization criteria for continuous linear time-invariant systems with constant lags |
| title_full_unstemmed | Stabilization criteria for continuous linear time-invariant systems with constant lags |
| title_short | Stabilization criteria for continuous linear time-invariant systems with constant lags |
| title_sort | stabilization criteria for continuous linear time invariant systems with constant lags |
| url | http://dx.doi.org/10.1155/DDNS/2006/87062 |
| work_keys_str_mv | AT mdelasen stabilizationcriteriaforcontinuouslineartimeinvariantsystemswithconstantlags |