Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems
We introduce the concept of generalized 𝑆(𝐶,𝐴,𝐵)-pairs which is related to generalized 𝑆(𝐴,𝐵)-invariant subspaces and generalized 𝑆(𝐶,𝐴)-invariant subspaces for infinite-dimensional systems. As an application the parameter-insensitive disturbance-rejection problem with dynamic compensator is formula...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2009/169790 |
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| _version_ | 1849307848387854336 |
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| author | Naohisa Otsuka Haruo Hinata |
| author_facet | Naohisa Otsuka Haruo Hinata |
| author_sort | Naohisa Otsuka |
| collection | DOAJ |
| description | We introduce the concept of generalized 𝑆(𝐶,𝐴,𝐵)-pairs which is related to generalized 𝑆(𝐴,𝐵)-invariant subspaces and generalized 𝑆(𝐶,𝐴)-invariant subspaces for infinite-dimensional systems. As an application the parameter-insensitive disturbance-rejection problem with dynamic compensator is formulated and its solvability conditions are presented. Further, an illustrative example is also examined. |
| format | Article |
| id | doaj-art-2a4b61ffcce3439e9df450ca04e5d842 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2a4b61ffcce3439e9df450ca04e5d8422025-08-20T03:54:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422009-01-01200910.1155/2009/169790169790Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional SystemsNaohisa Otsuka0Haruo Hinata1Division of Science, School of Science and Engineering, Tokyo Denki University, Hatoyama-Machi, Hiki-Gun, Saitama 350-0394, JapanDepartment of Management and Information Sciences, Nagasaki Institute of Applied Science, Aba-Machi 536, Nagasaki 851-0193, JapanWe introduce the concept of generalized 𝑆(𝐶,𝐴,𝐵)-pairs which is related to generalized 𝑆(𝐴,𝐵)-invariant subspaces and generalized 𝑆(𝐶,𝐴)-invariant subspaces for infinite-dimensional systems. As an application the parameter-insensitive disturbance-rejection problem with dynamic compensator is formulated and its solvability conditions are presented. Further, an illustrative example is also examined.http://dx.doi.org/10.1155/2009/169790 |
| spellingShingle | Naohisa Otsuka Haruo Hinata Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems Journal of Applied Mathematics |
| title | Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems |
| title_full | Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems |
| title_fullStr | Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems |
| title_full_unstemmed | Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems |
| title_short | Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems |
| title_sort | generalized 𝑆 𝐶 𝐴 𝐵 pairs for uncertain linear infinite dimensional systems |
| url | http://dx.doi.org/10.1155/2009/169790 |
| work_keys_str_mv | AT naohisaotsuka generalizedscabpairsforuncertainlinearinfinitedimensionalsystems AT haruohinata generalizedscabpairsforuncertainlinearinfinitedimensionalsystems |