The PBH test for multidimensional LTID systems
In this article, the classical Popov–Belevitch–Hautus controllability test is generalized to higher dimensions.
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| Vydané v: | Automatica (Oxford) Ročník 49; číslo 9; s. 2933 - 2937 |
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| Médium: | Journal Article |
| Jazyk: | English |
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Kidlington
Elsevier Ltd
01.09.2013
Elsevier |
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| ISSN: | 0005-1098, 1873-2836 |
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| Abstract | In this article, the classical Popov–Belevitch–Hautus controllability test is generalized to higher dimensions. |
|---|---|
| AbstractList | In this article, the classical Popov–Belevitch–Hautus controllability test is generalized to higher dimensions. |
| Author | Lomadze, Vakhtang |
| Author_xml | – sequence: 1 givenname: Vakhtang surname: Lomadze fullname: Lomadze, Vakhtang email: vakhtang.lomadze@tsu.ge organization: A. Razmadze Mathematical Institute, Mathematics Department of I. Javakhishvili Tbilisi State University, Georgia |
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| Cites_doi | 10.1137/S0363012997321784 10.1016/S0167-6911(01)00178-5 10.1007/BF00046908 10.1109/9.75100 10.1137/100813828 10.1109/9.73561 10.1137/120873339 10.1093/imamci/16.3.275 10.1023/A:1011905623429 10.1137/S0363012999362797 10.1016/j.aml.2011.05.001 10.1007/s11045-005-6231-8 |
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| Copyright | 2013 Elsevier Ltd 2014 INIST-CNRS |
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| Issue | 9 |
| Keywords | LTID system Controllability Exact sequence Polynomial module Polynomial resolution Strong controllability Linear time invariant system Differential operator Multidimensional system Observability |
| Language | English |
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| References | Lam (br000015) 1999 Lomadze (br000030) 2013 Zerz (br000080) 2001; 12 Bourbaki (br000005) 1989 Pommaret, Quadrat (br000045) 1999; 16 Perpignan, France. Rocha, Willems (br000060) 1999; 36 Zerz, Rocha (br000085) 2006; 17 Lomadze (br000020) 2011; 24 Oberst (br000035) 1990; 29 Rocha, Wood (br000065) 2001; 40 Eisenbud (br000010) 1995 Lomadze (br000025) 2012; 50 Pillai, Shankar (br000040) 1999; 37 Shankar (br000070) 2013 Rocha (br000055) 2012; 45 Pommaret, J. F., & Quadrat, A. (2000). Equivalences of linear control systems. In Willems (br000075) 1991; 36 Lomadze (10.1016/j.automatica.2013.06.010_br000020) 2011; 24 Lam (10.1016/j.automatica.2013.06.010_br000015) 1999 Pillai (10.1016/j.automatica.2013.06.010_br000040) 1999; 37 10.1016/j.automatica.2013.06.010_br000050 Shankar (10.1016/j.automatica.2013.06.010_br000070) 2013 Rocha (10.1016/j.automatica.2013.06.010_br000065) 2001; 40 Pommaret (10.1016/j.automatica.2013.06.010_br000045) 1999; 16 Willems (10.1016/j.automatica.2013.06.010_br000075) 1991; 36 Zerz (10.1016/j.automatica.2013.06.010_br000080) 2001; 12 Eisenbud (10.1016/j.automatica.2013.06.010_br000010) 1995 Lomadze (10.1016/j.automatica.2013.06.010_br000030) 2013 Oberst (10.1016/j.automatica.2013.06.010_br000035) 1990; 29 Rocha (10.1016/j.automatica.2013.06.010_br000060) 1999; 36 Rocha (10.1016/j.automatica.2013.06.010_br000055) 2012; 45 Lomadze (10.1016/j.automatica.2013.06.010_br000025) 2012; 50 Zerz (10.1016/j.automatica.2013.06.010_br000085) 2006; 17 Bourbaki (10.1016/j.automatica.2013.06.010_br000005) 1989 |
| References_xml | – year: 1989 ident: br000005 article-title: Commutative algebra – reference: Pommaret, J. F., & Quadrat, A. (2000). Equivalences of linear control systems. 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| SubjectTerms | Applied sciences Computer science; control theory; systems Control system analysis Control theory. Systems Controllability Exact sciences and technology Exact sequence LTID system Modelling and identification Polynomial module Polynomial resolution Strong controllability |
| Title | The PBH test for multidimensional LTID systems |
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