On controllability of discrete-time bilinear systems by near-controllability
In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Tie, Lin [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Schlagwörter: |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime - 2011transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:98 ; year:2016 ; pages:14-24 ; extent:11 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.sysconle.2016.09.019 |
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ELV039987914 |
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| 520 | |a In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. | ||
| 520 | |a In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. | ||
| 650 | 7 | |a Near-controllability |2 Elsevier | |
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10.1016/j.sysconle.2016.09.019 doi GBVA2016004000019.pica (DE-627)ELV039987914 (ELSEVIER)S0167-6911(16)30146-3 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Tie, Lin verfasserin aut On controllability of discrete-time bilinear systems by near-controllability 2016transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. Near-controllability Elsevier Discrete-time bilinear systems Elsevier Controllability Elsevier Computable control inputs Elsevier Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:98 year:2016 pages:14-24 extent:11 https://doi.org/10.1016/j.sysconle.2016.09.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 98 2016 14-24 11 045F 620 |
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10.1016/j.sysconle.2016.09.019 doi GBVA2016004000019.pica (DE-627)ELV039987914 (ELSEVIER)S0167-6911(16)30146-3 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Tie, Lin verfasserin aut On controllability of discrete-time bilinear systems by near-controllability 2016transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. Near-controllability Elsevier Discrete-time bilinear systems Elsevier Controllability Elsevier Computable control inputs Elsevier Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:98 year:2016 pages:14-24 extent:11 https://doi.org/10.1016/j.sysconle.2016.09.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 98 2016 14-24 11 045F 620 |
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10.1016/j.sysconle.2016.09.019 doi GBVA2016004000019.pica (DE-627)ELV039987914 (ELSEVIER)S0167-6911(16)30146-3 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Tie, Lin verfasserin aut On controllability of discrete-time bilinear systems by near-controllability 2016transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. Near-controllability Elsevier Discrete-time bilinear systems Elsevier Controllability Elsevier Computable control inputs Elsevier Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:98 year:2016 pages:14-24 extent:11 https://doi.org/10.1016/j.sysconle.2016.09.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 98 2016 14-24 11 045F 620 |
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10.1016/j.sysconle.2016.09.019 doi GBVA2016004000019.pica (DE-627)ELV039987914 (ELSEVIER)S0167-6911(16)30146-3 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Tie, Lin verfasserin aut On controllability of discrete-time bilinear systems by near-controllability 2016transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. Near-controllability Elsevier Discrete-time bilinear systems Elsevier Controllability Elsevier Computable control inputs Elsevier Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:98 year:2016 pages:14-24 extent:11 https://doi.org/10.1016/j.sysconle.2016.09.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 98 2016 14-24 11 045F 620 |
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10.1016/j.sysconle.2016.09.019 doi GBVA2016004000019.pica (DE-627)ELV039987914 (ELSEVIER)S0167-6911(16)30146-3 DE-627 ger DE-627 rakwb eng 620 620 DE-600 530 VZ 004 VZ 54.72 bkl Tie, Lin verfasserin aut On controllability of discrete-time bilinear systems by near-controllability 2016transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. Near-controllability Elsevier Discrete-time bilinear systems Elsevier Controllability Elsevier Computable control inputs Elsevier Enthalten in Elsevier Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime 2011transfer abstract Amsterdam [u.a.] (DE-627)ELV026145170 volume:98 year:2016 pages:14-24 extent:11 https://doi.org/10.1016/j.sysconle.2016.09.019 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_74 54.72 Künstliche Intelligenz VZ AR 98 2016 14-24 11 045F 620 |
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620 - Engineering 530 - Physics 000 - Computer science, knowledge & systems |
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Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime |
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On controllability of discrete-time bilinear systems by near-controllability |
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(DE-627)ELV039987914 (ELSEVIER)S0167-6911(16)30146-3 |
| title_full |
On controllability of discrete-time bilinear systems by near-controllability |
| author_sort |
Tie, Lin |
| journal |
Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime |
| journalStr |
Generalized Malkmus line intensity distribution for CO2 infrared radiation in Doppler broadening regime |
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eng |
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600 - Technology 500 - Science 000 - Computer science, information & general works |
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2016 |
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Tie, Lin |
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98 |
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Elektronische Aufsätze |
| author-letter |
Tie, Lin |
| doi_str_mv |
10.1016/j.sysconle.2016.09.019 |
| dewey-full |
620 530 004 |
| title_sort |
on controllability of discrete-time bilinear systems by near-controllability |
| title_auth |
On controllability of discrete-time bilinear systems by near-controllability |
| abstract |
In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. |
| abstractGer |
In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. |
| abstract_unstemmed |
In this paper, controllability of discrete-time bilinear systems is studied. By applying a recent result on near-controllability, a new sufficient condition for controllability of the systems is presented, where controllability is proved by approximation with near-controllability. The new condition is algebraically verifiable and is hence easy to apply compared with a classical result on controllability of discrete-time bilinear systems, which can be effective even when the classical result does not work. Furthermore, the control inputs to achieve the transition of the systems between any given pair of states are approximately computable according to near-controllability. Therefore, near-controllability can be used to not only better characterize the system properties, but also prove controllability with computable control inputs. The new condition is then generalized to derive similar results on controllability and near-controllability of the systems. Finally, examples are given to illustrate the results of this paper. |
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| title_short |
On controllability of discrete-time bilinear systems by near-controllability |
| url |
https://doi.org/10.1016/j.sysconle.2016.09.019 |
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| up_date |
2024-07-06T21:59:38.591Z |
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