The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plants
In this paper, an advanced study covering the comparison between two classes of generalized inverses is conducted. Two sets of instances, strictly derived from the recently introduced nonunique S- and σ-inverse, are analyzed, especially in terms of degrees of freedom-oriented interchangeable applica...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2020-12-01
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| Series: | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/118377/PDF/27_D1517-1523_01630_Bpast.No.68-6_29.12.20_OK.pdf |
| _version_ | 1811314151974240256 |
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| author | P. Majewski W.P. Hunek |
| author_facet | P. Majewski W.P. Hunek |
| author_sort | P. Majewski |
| collection | DOAJ |
| description | In this paper, an advanced study covering the comparison between two classes of generalized inverses is conducted. Two sets of instances, strictly derived from the recently introduced nonunique S- and σ-inverse, are analyzed, especially in terms of degrees of freedom-oriented interchangeable application in different engineering tasks. Henceforth, the respective collections of right and left inverses can be combined in order to achieve a complex tool for robustification of a plethora of real processes. The great potential of two S- and σ-inverse, in particular in robust control and signal recovery as well as complex optimal tasks, is confirmed in the manuscript and supported by the recently carried out research investigations. |
| first_indexed | 2024-04-13T11:06:47Z |
| format | Article |
| id | doaj.art-9ffa1cd0bdb34a64b10ee841c00a7b9e |
| institution | Directory Open Access Journal |
| issn | 2300-1917 |
| language | English |
| last_indexed | 2024-04-13T11:06:47Z |
| publishDate | 2020-12-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| spelling | doaj.art-9ffa1cd0bdb34a64b10ee841c00a7b9e2022-12-22T02:49:14ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172020-12-0168No. 615171523https://doi.org/10.24425/bpasts.2020.135399The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plantsP. MajewskiW.P. HunekIn this paper, an advanced study covering the comparison between two classes of generalized inverses is conducted. Two sets of instances, strictly derived from the recently introduced nonunique S- and σ-inverse, are analyzed, especially in terms of degrees of freedom-oriented interchangeable application in different engineering tasks. Henceforth, the respective collections of right and left inverses can be combined in order to achieve a complex tool for robustification of a plethora of real processes. The great potential of two S- and σ-inverse, in particular in robust control and signal recovery as well as complex optimal tasks, is confirmed in the manuscript and supported by the recently carried out research investigations.https://journals.pan.pl/Content/118377/PDF/27_D1517-1523_01630_Bpast.No.68-6_29.12.20_OK.pdfnonunique right/left inversesnonsquare polynomial matricesinverse theoryrobustification of processespractical implementation |
| spellingShingle | P. Majewski W.P. Hunek The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plants Bulletin of the Polish Academy of Sciences: Technical Sciences nonunique right/left inverses nonsquare polynomial matrices inverse theory robustification of processes practical implementation |
| title | The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plants |
| title_full | The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plants |
| title_fullStr | The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plants |
| title_full_unstemmed | The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plants |
| title_short | The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plants |
| title_sort | generalized s and σ inverse a comparative case study for right and left invertible plants |
| topic | nonunique right/left inverses nonsquare polynomial matrices inverse theory robustification of processes practical implementation |
| url | https://journals.pan.pl/Content/118377/PDF/27_D1517-1523_01630_Bpast.No.68-6_29.12.20_OK.pdf |
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