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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Hindawi Limited
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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doaj-2a4b61ffcce3439e9df450ca04e5d8422020-11-24T21:39:49ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Naohisa Otsuka Haruo Hinata |
| spellingShingle |
Naohisa Otsuka Haruo Hinata Generalized 𝑆(𝐶,𝐴,𝐵)-Pairs for Uncertain Linear Infinite-Dimensional Systems Journal of Applied Mathematics |
| author_facet |
Naohisa Otsuka Haruo Hinata |
| author_sort |
Naohisa Otsuka |
| title |
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_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_sort |
generalized 𝑆(𝐶,𝐴,𝐵)-pairs for uncertain linear infinite-dimensional systems |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2009-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2009/169790 |
| work_keys_str_mv |
AT naohisaotsuka generalizedscabpairsforuncertainlinearinfinitedimensionalsystems AT haruohinata generalizedscabpairsforuncertainlinearinfinitedimensionalsystems |
| _version_ |
1725929160258355200 |