Finite-time stabilization by using degenerate feedback delay
Some examples are studied in which a linear controllable dynamical system can be steered towards a specific steady state by using some appropriate linear, time-varying delayed feedback controller. The associated linear retarded differential equation has a finite-dimensional invariant subspace whi...
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| Format: | Article |
| Language: | English |
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Texas State University
2015-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/22/v1/abstr.html |
| _version_ | 1818343946527440896 |
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| author | Jose M. Vegas |
| author_facet | Jose M. Vegas |
| author_sort | Jose M. Vegas |
| collection | DOAJ |
| description | Some examples are studied in which a linear controllable dynamical system can
be steered towards a specific steady state by using some appropriate linear,
time-varying delayed feedback controller. The associated linear retarded
differential equation has a finite-dimensional invariant subspace which
attracts all orbits in finite time, and this degeneracy property is the reason
why the target is attained in finite time rather than just asymptotically. |
| first_indexed | 2024-12-13T16:38:40Z |
| format | Article |
| id | doaj.art-9fe9a3d884f64c7295ba43598562dd56 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-13T16:38:40Z |
| publishDate | 2015-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-9fe9a3d884f64c7295ba43598562dd562022-12-21T23:38:20ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-11-01201522111116Finite-time stabilization by using degenerate feedback delayJose M. Vegas0 Colegio Univ. de Estudios Financieros, Madrid, Spain Some examples are studied in which a linear controllable dynamical system can be steered towards a specific steady state by using some appropriate linear, time-varying delayed feedback controller. The associated linear retarded differential equation has a finite-dimensional invariant subspace which attracts all orbits in finite time, and this degeneracy property is the reason why the target is attained in finite time rather than just asymptotically.http://ejde.math.txstate.edu/conf-proc/22/v1/abstr.htmlFeedback delay controlstabilizationPyragas control |
| spellingShingle | Jose M. Vegas Finite-time stabilization by using degenerate feedback delay Electronic Journal of Differential Equations Feedback delay control stabilization Pyragas control |
| title | Finite-time stabilization by using degenerate feedback delay |
| title_full | Finite-time stabilization by using degenerate feedback delay |
| title_fullStr | Finite-time stabilization by using degenerate feedback delay |
| title_full_unstemmed | Finite-time stabilization by using degenerate feedback delay |
| title_short | Finite-time stabilization by using degenerate feedback delay |
| title_sort | finite time stabilization by using degenerate feedback delay |
| topic | Feedback delay control stabilization Pyragas control |
| url | http://ejde.math.txstate.edu/conf-proc/22/v1/abstr.html |
| work_keys_str_mv | AT josemvegas finitetimestabilizationbyusingdegeneratefeedbackdelay |