GEOMETRIC APPROACH TO INVERSION OF MULTIVARIABLE SYSTEMS
The input and output matrix maps B and C of a linear multivariable system S(A,B,C) play an important role in determining the behaviour of the system. Square systems with the produce CB full rank possess a simple state-space geometry which is deployed in the present paper for the derivation of an exp...
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| Materialtyp: | Journal article |
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1976
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| _version_ | 1826270812697526272 |
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| author | Kouvaritakis, B |
| author_facet | Kouvaritakis, B |
| author_sort | Kouvaritakis, B |
| collection | OXFORD |
| description | The input and output matrix maps B and C of a linear multivariable system S(A,B,C) play an important role in determining the behaviour of the system. Square systems with the produce CB full rank possess a simple state-space geometry which is deployed in the present paper for the derivation of an explicit state-space characterization of the inverse system. An efficient algorithm for the inversion of a system is then obtained. The elegance of the results discussed enables the examination of the duality between poles/modes and zeros/zero-directions. Finally, an extension of the above to systems with CB rank-deficient is undertaken. |
| first_indexed | 2024-03-06T21:46:43Z |
| format | Journal article |
| id | oxford-uuid:49d80d21-98f3-4db6-97a1-a40f74618059 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:46:43Z |
| publishDate | 1976 |
| record_format | dspace |
| spelling | oxford-uuid:49d80d21-98f3-4db6-97a1-a40f746180592022-03-26T15:34:09ZGEOMETRIC APPROACH TO INVERSION OF MULTIVARIABLE SYSTEMSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:49d80d21-98f3-4db6-97a1-a40f74618059Symplectic Elements at Oxford1976Kouvaritakis, BThe input and output matrix maps B and C of a linear multivariable system S(A,B,C) play an important role in determining the behaviour of the system. Square systems with the produce CB full rank possess a simple state-space geometry which is deployed in the present paper for the derivation of an explicit state-space characterization of the inverse system. An efficient algorithm for the inversion of a system is then obtained. The elegance of the results discussed enables the examination of the duality between poles/modes and zeros/zero-directions. Finally, an extension of the above to systems with CB rank-deficient is undertaken. |
| spellingShingle | Kouvaritakis, B GEOMETRIC APPROACH TO INVERSION OF MULTIVARIABLE SYSTEMS |
| title | GEOMETRIC APPROACH TO INVERSION OF MULTIVARIABLE SYSTEMS |
| title_full | GEOMETRIC APPROACH TO INVERSION OF MULTIVARIABLE SYSTEMS |
| title_fullStr | GEOMETRIC APPROACH TO INVERSION OF MULTIVARIABLE SYSTEMS |
| title_full_unstemmed | GEOMETRIC APPROACH TO INVERSION OF MULTIVARIABLE SYSTEMS |
| title_short | GEOMETRIC APPROACH TO INVERSION OF MULTIVARIABLE SYSTEMS |
| title_sort | geometric approach to inversion of multivariable systems |
| work_keys_str_mv | AT kouvaritakisb geometricapproachtoinversionofmultivariablesystems |