Matrix eigenvalue spectrum assignment for linear control systems by static output feedback
For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like ran...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zaitsev, Vasilii [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021transfer abstract |
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| Schlagwörter: |
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| Umfang: |
36 |
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| Übergeordnetes Werk: |
Enthalten in: CFD investigation on particle deposition in aligned and staggered ribbed duct air flows - Lu, Hao ELSEVIER, 2016, LAA, New York, NY |
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| Übergeordnetes Werk: |
volume:613 ; year:2021 ; day:15 ; month:03 ; pages:115-150 ; extent:36 |
| Links: |
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| DOI / URN: |
10.1016/j.laa.2020.12.017 |
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| 520 | |a For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. | ||
| 520 | |a For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. | ||
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10.1016/j.laa.2020.12.017 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001266.pica (DE-627)ELV05273305X (ELSEVIER)S0024-3795(20)30583-8 DE-627 ger DE-627 rakwb eng 690 VZ 530 620 VZ 52.56 bkl Zaitsev, Vasilii verfasserin aut Matrix eigenvalue spectrum assignment for linear control systems by static output feedback 2021transfer abstract 36 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. 93B25 Elsevier 93B55 Elsevier 93C05 Elsevier 93B52 Elsevier Kim, Inna oth Enthalten in American Elsevier Publ Lu, Hao ELSEVIER CFD investigation on particle deposition in aligned and staggered ribbed duct air flows 2016 LAA New York, NY (DE-627)ELV014483130 volume:613 year:2021 day:15 month:03 pages:115-150 extent:36 https://doi.org/10.1016/j.laa.2020.12.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 52.56 Regenerative Energieformen alternative Energieformen VZ AR 613 2021 15 0315 115-150 36 |
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10.1016/j.laa.2020.12.017 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001266.pica (DE-627)ELV05273305X (ELSEVIER)S0024-3795(20)30583-8 DE-627 ger DE-627 rakwb eng 690 VZ 530 620 VZ 52.56 bkl Zaitsev, Vasilii verfasserin aut Matrix eigenvalue spectrum assignment for linear control systems by static output feedback 2021transfer abstract 36 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. 93B25 Elsevier 93B55 Elsevier 93C05 Elsevier 93B52 Elsevier Kim, Inna oth Enthalten in American Elsevier Publ Lu, Hao ELSEVIER CFD investigation on particle deposition in aligned and staggered ribbed duct air flows 2016 LAA New York, NY (DE-627)ELV014483130 volume:613 year:2021 day:15 month:03 pages:115-150 extent:36 https://doi.org/10.1016/j.laa.2020.12.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 52.56 Regenerative Energieformen alternative Energieformen VZ AR 613 2021 15 0315 115-150 36 |
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10.1016/j.laa.2020.12.017 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001266.pica (DE-627)ELV05273305X (ELSEVIER)S0024-3795(20)30583-8 DE-627 ger DE-627 rakwb eng 690 VZ 530 620 VZ 52.56 bkl Zaitsev, Vasilii verfasserin aut Matrix eigenvalue spectrum assignment for linear control systems by static output feedback 2021transfer abstract 36 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. 93B25 Elsevier 93B55 Elsevier 93C05 Elsevier 93B52 Elsevier Kim, Inna oth Enthalten in American Elsevier Publ Lu, Hao ELSEVIER CFD investigation on particle deposition in aligned and staggered ribbed duct air flows 2016 LAA New York, NY (DE-627)ELV014483130 volume:613 year:2021 day:15 month:03 pages:115-150 extent:36 https://doi.org/10.1016/j.laa.2020.12.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 52.56 Regenerative Energieformen alternative Energieformen VZ AR 613 2021 15 0315 115-150 36 |
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10.1016/j.laa.2020.12.017 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001266.pica (DE-627)ELV05273305X (ELSEVIER)S0024-3795(20)30583-8 DE-627 ger DE-627 rakwb eng 690 VZ 530 620 VZ 52.56 bkl Zaitsev, Vasilii verfasserin aut Matrix eigenvalue spectrum assignment for linear control systems by static output feedback 2021transfer abstract 36 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. 93B25 Elsevier 93B55 Elsevier 93C05 Elsevier 93B52 Elsevier Kim, Inna oth Enthalten in American Elsevier Publ Lu, Hao ELSEVIER CFD investigation on particle deposition in aligned and staggered ribbed duct air flows 2016 LAA New York, NY (DE-627)ELV014483130 volume:613 year:2021 day:15 month:03 pages:115-150 extent:36 https://doi.org/10.1016/j.laa.2020.12.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 52.56 Regenerative Energieformen alternative Energieformen VZ AR 613 2021 15 0315 115-150 36 |
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Matrix eigenvalue spectrum assignment for linear control systems by static output feedback |
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(DE-627)ELV05273305X (ELSEVIER)S0024-3795(20)30583-8 |
| title_full |
Matrix eigenvalue spectrum assignment for linear control systems by static output feedback |
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Zaitsev, Vasilii |
| journal |
CFD investigation on particle deposition in aligned and staggered ribbed duct air flows |
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CFD investigation on particle deposition in aligned and staggered ribbed duct air flows |
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eng |
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2021 |
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Zaitsev, Vasilii |
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Elektronische Aufsätze |
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Zaitsev, Vasilii |
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10.1016/j.laa.2020.12.017 |
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690 530 620 |
| title_sort |
matrix eigenvalue spectrum assignment for linear control systems by static output feedback |
| title_auth |
Matrix eigenvalue spectrum assignment for linear control systems by static output feedback |
| abstract |
For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. |
| abstractGer |
For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. |
| abstract_unstemmed |
For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. We obtain controllability-like rank conditions that are necessary and sufficient for the problem of arbitrary matrix eigenvalue spectrum assignment and are sufficient for the problem of arbitrary eigenvalue spectrum assignment by linear static output feedback. It is proved that, in particular cases, when the system has block scalar matrix coefficients, these conditions can be relaxed. The obtained results generalize the known results for the corresponding problem by static state feedback and by static output feedback in the case of the one-dimensional equation. Examples are presented to illustrate the results. |
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GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_40 GBV_ILN_2015 GBV_ILN_2021 |
| title_short |
Matrix eigenvalue spectrum assignment for linear control systems by static output feedback |
| url |
https://doi.org/10.1016/j.laa.2020.12.017 |
| remote_bool |
true |
| author2 |
Kim, Inna |
| author2Str |
Kim, Inna |
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ELV014483130 |
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10.1016/j.laa.2020.12.017 |
| up_date |
2024-07-06T16:59:39.956Z |
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