Control of Oscillating Systems with a Single Delay
Systems are considered related to the control of processes described by oscillating second-order systems of differential equations with a single delay. An explicit representation of solutions with the aid of special matrix functions called a delayed matrix sine and a delayed matrix cosine is used to...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/108218 |
| _version_ | 1818808505841221632 |
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| author | M. Růžičková J. Diblík D. Ya. Khusainov J. Lukáčová |
| author_facet | M. Růžičková J. Diblík D. Ya. Khusainov J. Lukáčová |
| author_sort | M. Růžičková |
| collection | DOAJ |
| description | Systems are considered related to the control of processes described by oscillating second-order systems of differential equations with a single delay. An explicit representation of solutions with the aid of special matrix functions called a delayed matrix sine and a delayed matrix cosine is used to develop the conditions of relative controllability and to construct a specific control function solving the relative controllability problem of transferring an initial function to a prescribed point in the phase space. |
| first_indexed | 2024-12-18T19:42:38Z |
| format | Article |
| id | doaj.art-9570c68ff9c84c5c83a36770504ab7a7 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-18T19:42:38Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-9570c68ff9c84c5c83a36770504ab7a72022-12-21T20:55:24ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/108218Control of Oscillating Systems with a Single DelayM. RůžičkováJ. DiblíkD. Ya. KhusainovJ. LukáčováSystems are considered related to the control of processes described by oscillating second-order systems of differential equations with a single delay. An explicit representation of solutions with the aid of special matrix functions called a delayed matrix sine and a delayed matrix cosine is used to develop the conditions of relative controllability and to construct a specific control function solving the relative controllability problem of transferring an initial function to a prescribed point in the phase space.http://dx.doi.org/10.1155/2010/108218 |
| spellingShingle | M. Růžičková J. Diblík D. Ya. Khusainov J. Lukáčová Control of Oscillating Systems with a Single Delay Advances in Difference Equations |
| title | Control of Oscillating Systems with a Single Delay |
| title_full | Control of Oscillating Systems with a Single Delay |
| title_fullStr | Control of Oscillating Systems with a Single Delay |
| title_full_unstemmed | Control of Oscillating Systems with a Single Delay |
| title_short | Control of Oscillating Systems with a Single Delay |
| title_sort | control of oscillating systems with a single delay |
| url | http://dx.doi.org/10.1155/2010/108218 |
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