Robust Stochastic Stabilization for Positive Markov Jump Systems with Actuator Saturation
Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By v...
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| Autor*in: |
Li, Shicheng [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2018 |
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| Übergeordnetes Werk: |
Enthalten in: Circuits, systems and signal processing - Springer US, 1982, 38(2018), 2 vom: 14. Juni, Seite 625-642 |
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| Übergeordnetes Werk: |
volume:38 ; year:2018 ; number:2 ; day:14 ; month:06 ; pages:625-642 |
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10.1007/s00034-018-0878-5 |
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| 520 | |a Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. | ||
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| 700 | 1 | |a Zhang, Ridong |4 aut | |
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10.1007/s00034-018-0878-5 doi (DE-627)OLC2034854020 (DE-He213)s00034-018-0878-5-p DE-627 ger DE-627 rakwb eng 600 VZ Li, Shicheng verfasserin aut Robust Stochastic Stabilization for Positive Markov Jump Systems with Actuator Saturation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. Positive Markov jump systems Stabilization Actuator saturation Linear programming Zhang, Junfeng (orcid)0000-0003-1335-6682 aut Chen, Yun aut Zhang, Ridong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2018), 2 vom: 14. Juni, Seite 625-642 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2018 number:2 day:14 month:06 pages:625-642 https://doi.org/10.1007/s00034-018-0878-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2018 2 14 06 625-642 |
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10.1007/s00034-018-0878-5 doi (DE-627)OLC2034854020 (DE-He213)s00034-018-0878-5-p DE-627 ger DE-627 rakwb eng 600 VZ Li, Shicheng verfasserin aut Robust Stochastic Stabilization for Positive Markov Jump Systems with Actuator Saturation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. Positive Markov jump systems Stabilization Actuator saturation Linear programming Zhang, Junfeng (orcid)0000-0003-1335-6682 aut Chen, Yun aut Zhang, Ridong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2018), 2 vom: 14. Juni, Seite 625-642 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2018 number:2 day:14 month:06 pages:625-642 https://doi.org/10.1007/s00034-018-0878-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2018 2 14 06 625-642 |
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10.1007/s00034-018-0878-5 doi (DE-627)OLC2034854020 (DE-He213)s00034-018-0878-5-p DE-627 ger DE-627 rakwb eng 600 VZ Li, Shicheng verfasserin aut Robust Stochastic Stabilization for Positive Markov Jump Systems with Actuator Saturation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. Positive Markov jump systems Stabilization Actuator saturation Linear programming Zhang, Junfeng (orcid)0000-0003-1335-6682 aut Chen, Yun aut Zhang, Ridong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2018), 2 vom: 14. Juni, Seite 625-642 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2018 number:2 day:14 month:06 pages:625-642 https://doi.org/10.1007/s00034-018-0878-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2018 2 14 06 625-642 |
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10.1007/s00034-018-0878-5 doi (DE-627)OLC2034854020 (DE-He213)s00034-018-0878-5-p DE-627 ger DE-627 rakwb eng 600 VZ Li, Shicheng verfasserin aut Robust Stochastic Stabilization for Positive Markov Jump Systems with Actuator Saturation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. Positive Markov jump systems Stabilization Actuator saturation Linear programming Zhang, Junfeng (orcid)0000-0003-1335-6682 aut Chen, Yun aut Zhang, Ridong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2018), 2 vom: 14. Juni, Seite 625-642 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2018 number:2 day:14 month:06 pages:625-642 https://doi.org/10.1007/s00034-018-0878-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2018 2 14 06 625-642 |
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10.1007/s00034-018-0878-5 doi (DE-627)OLC2034854020 (DE-He213)s00034-018-0878-5-p DE-627 ger DE-627 rakwb eng 600 VZ Li, Shicheng verfasserin aut Robust Stochastic Stabilization for Positive Markov Jump Systems with Actuator Saturation 2018 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. Positive Markov jump systems Stabilization Actuator saturation Linear programming Zhang, Junfeng (orcid)0000-0003-1335-6682 aut Chen, Yun aut Zhang, Ridong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2018), 2 vom: 14. Juni, Seite 625-642 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2018 number:2 day:14 month:06 pages:625-642 https://doi.org/10.1007/s00034-018-0878-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2018 2 14 06 625-642 |
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Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. © Springer Science+Business Media, LLC, part of Springer Nature 2018 |
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Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. © Springer Science+Business Media, LLC, part of Springer Nature 2018 |
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Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design. © Springer Science+Business Media, LLC, part of Springer Nature 2018 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2034854020</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230331225006.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2018 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00034-018-0878-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2034854020</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00034-018-0878-5-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">600</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Li, Shicheng</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Robust Stochastic Stabilization for Positive Markov Jump Systems with Actuator Saturation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC, part of Springer Nature 2018</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper is concerned with robust stochastic stabilization for positive Markov jump systems with actuator saturation. The considered systems contain interval and polytopic uncertainties, respectively. First, a stochastic co-positive Lyapunov functional is constructed for the systems. By virtue of the presented Lyapunov functional, a new controller design approach is addressed using matrix decomposition technique. Under the designed controller, robust stochastic stabilization of the systems with interval and polytopic uncertainties is achieved, respectively. Furthermore, an effective method for estimating the attraction domain is established by solving an optimization problem. An implemental algorithm is provided based on linear programming to solve the corresponding conditions. Finally, two numerical examples are provided to illustrate the reduced conservatism and effectiveness of the proposed design.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Positive Markov jump systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stabilization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Actuator saturation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear programming</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Junfeng</subfield><subfield code="0">(orcid)0000-0003-1335-6682</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chen, Yun</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Ridong</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Circuits, systems and signal processing</subfield><subfield code="d">Springer US, 1982</subfield><subfield code="g">38(2018), 2 vom: 14. Juni, Seite 625-642</subfield><subfield code="w">(DE-627)130312134</subfield><subfield code="w">(DE-600)588684-3</subfield><subfield code="w">(DE-576)015889939</subfield><subfield code="x">0278-081X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:38</subfield><subfield code="g">year:2018</subfield><subfield code="g">number:2</subfield><subfield code="g">day:14</subfield><subfield code="g">month:06</subfield><subfield code="g">pages:625-642</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00034-018-0878-5</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-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2244</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">38</subfield><subfield code="j">2018</subfield><subfield code="e">2</subfield><subfield code="b">14</subfield><subfield code="c">06</subfield><subfield code="h">625-642</subfield></datafield></record></collection>
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