Controllability and observability analysis of continuous-time multi-order fractional systems
Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllabili...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Tavakoli, Mohammad [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Multidimensional systems and signal processing - Springer US, 1990, 28(2015), 2 vom: 25. Juli, Seite 427-450 |
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| Übergeordnetes Werk: |
volume:28 ; year:2015 ; number:2 ; day:25 ; month:07 ; pages:427-450 |
| Links: |
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| DOI / URN: |
10.1007/s11045-015-0349-0 |
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OLC2048108326 |
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| 520 | |a Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. | ||
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10.1007/s11045-015-0349-0 doi (DE-627)OLC2048108326 (DE-He213)s11045-015-0349-0-p DE-627 ger DE-627 rakwb eng 510 VZ Tavakoli, Mohammad verfasserin aut Controllability and observability analysis of continuous-time multi-order fractional systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. Controllability Observability Multi-order fractional systems Fractional-order systems Tabatabaei, Mohammad aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 28(2015), 2 vom: 25. Juli, Seite 427-450 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:28 year:2015 number:2 day:25 month:07 pages:427-450 https://doi.org/10.1007/s11045-015-0349-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 28 2015 2 25 07 427-450 |
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10.1007/s11045-015-0349-0 doi (DE-627)OLC2048108326 (DE-He213)s11045-015-0349-0-p DE-627 ger DE-627 rakwb eng 510 VZ Tavakoli, Mohammad verfasserin aut Controllability and observability analysis of continuous-time multi-order fractional systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. Controllability Observability Multi-order fractional systems Fractional-order systems Tabatabaei, Mohammad aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 28(2015), 2 vom: 25. Juli, Seite 427-450 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:28 year:2015 number:2 day:25 month:07 pages:427-450 https://doi.org/10.1007/s11045-015-0349-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 28 2015 2 25 07 427-450 |
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10.1007/s11045-015-0349-0 doi (DE-627)OLC2048108326 (DE-He213)s11045-015-0349-0-p DE-627 ger DE-627 rakwb eng 510 VZ Tavakoli, Mohammad verfasserin aut Controllability and observability analysis of continuous-time multi-order fractional systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. Controllability Observability Multi-order fractional systems Fractional-order systems Tabatabaei, Mohammad aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 28(2015), 2 vom: 25. Juli, Seite 427-450 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:28 year:2015 number:2 day:25 month:07 pages:427-450 https://doi.org/10.1007/s11045-015-0349-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 28 2015 2 25 07 427-450 |
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10.1007/s11045-015-0349-0 doi (DE-627)OLC2048108326 (DE-He213)s11045-015-0349-0-p DE-627 ger DE-627 rakwb eng 510 VZ Tavakoli, Mohammad verfasserin aut Controllability and observability analysis of continuous-time multi-order fractional systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. Controllability Observability Multi-order fractional systems Fractional-order systems Tabatabaei, Mohammad aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 28(2015), 2 vom: 25. Juli, Seite 427-450 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:28 year:2015 number:2 day:25 month:07 pages:427-450 https://doi.org/10.1007/s11045-015-0349-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 28 2015 2 25 07 427-450 |
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10.1007/s11045-015-0349-0 doi (DE-627)OLC2048108326 (DE-He213)s11045-015-0349-0-p DE-627 ger DE-627 rakwb eng 510 VZ Tavakoli, Mohammad verfasserin aut Controllability and observability analysis of continuous-time multi-order fractional systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. Controllability Observability Multi-order fractional systems Fractional-order systems Tabatabaei, Mohammad aut Enthalten in Multidimensional systems and signal processing Springer US, 1990 28(2015), 2 vom: 25. Juli, Seite 427-450 (DE-627)130892076 (DE-600)1041098-3 (DE-576)038686074 0923-6082 nnns volume:28 year:2015 number:2 day:25 month:07 pages:427-450 https://doi.org/10.1007/s11045-015-0349-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 28 2015 2 25 07 427-450 |
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Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. © Springer Science+Business Media New York 2015 |
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Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. © Springer Science+Business Media New York 2015 |
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Abstract This paper proposes some analytical criteria for controllability and observability analysis of fractional order systems describing by multi-order state space equations. The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. Some illustrative examples are given to show the efficiency of the proposed method. © Springer Science+Business Media New York 2015 |
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The controllability and observability gramians are presented in which their non-singularity is equivalent to controllability and observability of the mentioned systems. Moreover, to overcome the gramian calculation complexities, the controllability and observability matrices are introduced. It is proved that the sufficient condition for controllability or observability of a multi-order fractional system is that its controllability or observability matrix is nonsingular. 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Juli, Seite 427-450</subfield><subfield code="w">(DE-627)130892076</subfield><subfield code="w">(DE-600)1041098-3</subfield><subfield code="w">(DE-576)038686074</subfield><subfield code="x">0923-6082</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:28</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:2</subfield><subfield code="g">day:25</subfield><subfield code="g">month:07</subfield><subfield code="g">pages:427-450</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11045-015-0349-0</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">28</subfield><subfield code="j">2015</subfield><subfield code="e">2</subfield><subfield code="b">25</subfield><subfield code="c">07</subfield><subfield code="h">427-450</subfield></datafield></record></collection>
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