Assignability of numerical characteristics of time-varying systems
The main aim of this article is to survey and discuss the existing state of art concerning the assignability by a feedback of numerical characteristics of linear continuous and discrete time-varying systems. Most of the results present necessary or sufficient conditions for different formulation of...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2019-12-01
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| Series: | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/114315/PDF/03_1007-1022_01291_Bpast.No.67-6_13.01.20_K1_TeX.pdf |
| _version_ | 1811314193286037504 |
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| author | A. Babiarz A. Czornik J. Klamka |
| author_facet | A. Babiarz A. Czornik J. Klamka |
| author_sort | A. Babiarz |
| collection | DOAJ |
| description | The main aim of this article is to survey and discuss the existing state of art concerning the assignability by a feedback of numerical characteristics of linear continuous and discrete time-varying systems. Most of the results present necessary or sufficient conditions for different formulation of the Lyapunov spectrum assignability problem. These conditions are expressed in terms of various controllability types and optimalizability of the controlled systems and certain properties of the free system such as: regularity, diagonalizability, boundness away, integral separation and reducibility. |
| first_indexed | 2024-04-13T11:07:44Z |
| format | Article |
| id | doaj.art-63120a68b70040b69b4493ac4ff46e38 |
| institution | Directory Open Access Journal |
| issn | 2300-1917 |
| language | English |
| last_indexed | 2024-04-13T11:07:44Z |
| publishDate | 2019-12-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| spelling | doaj.art-63120a68b70040b69b4493ac4ff46e382022-12-22T02:49:13ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172019-12-0167No. 61071022https://doi.org/10.24425/bpasts.2019.130890Assignability of numerical characteristics of time-varying systemsA. BabiarzA. CzornikJ. KlamkaThe main aim of this article is to survey and discuss the existing state of art concerning the assignability by a feedback of numerical characteristics of linear continuous and discrete time-varying systems. Most of the results present necessary or sufficient conditions for different formulation of the Lyapunov spectrum assignability problem. These conditions are expressed in terms of various controllability types and optimalizability of the controlled systems and certain properties of the free system such as: regularity, diagonalizability, boundness away, integral separation and reducibility.https://journals.pan.pl/Content/114315/PDF/03_1007-1022_01291_Bpast.No.67-6_13.01.20_K1_TeX.pdfassignabilitycontrollabilitylyapunov spectrumlinear time-varying systems |
| spellingShingle | A. Babiarz A. Czornik J. Klamka Assignability of numerical characteristics of time-varying systems Bulletin of the Polish Academy of Sciences: Technical Sciences assignability controllability lyapunov spectrum linear time-varying systems |
| title | Assignability of numerical characteristics of time-varying systems |
| title_full | Assignability of numerical characteristics of time-varying systems |
| title_fullStr | Assignability of numerical characteristics of time-varying systems |
| title_full_unstemmed | Assignability of numerical characteristics of time-varying systems |
| title_short | Assignability of numerical characteristics of time-varying systems |
| title_sort | assignability of numerical characteristics of time varying systems |
| topic | assignability controllability lyapunov spectrum linear time-varying systems |
| url | https://journals.pan.pl/Content/114315/PDF/03_1007-1022_01291_Bpast.No.67-6_13.01.20_K1_TeX.pdf |
| work_keys_str_mv | AT ababiarz assignabilityofnumericalcharacteristicsoftimevaryingsystems AT aczornik assignabilityofnumericalcharacteristicsoftimevaryingsystems AT jklamka assignabilityofnumericalcharacteristicsoftimevaryingsystems |