Auxiliary function-based integral/summation inequalities: Application to continuous/discrete time-delay systems
Abstract In the field of stability analysis for time-delay systems, finding precise bounds of integral/summation forms of quadratic functions plays a key role in reducing the conservatism. Consequently, there have been many attempts to develop inequalities yielding much tighter bounds. This paper de...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Park, PooGyeon [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2016 |
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| Übergeordnetes Werk: |
Enthalten in: International Journal of Control, Automation and Systems - Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009, 14(2016), 1 vom: Feb., Seite 3-11 |
|---|---|
| Übergeordnetes Werk: |
volume:14 ; year:2016 ; number:1 ; month:02 ; pages:3-11 |
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| DOI / URN: |
10.1007/s12555-015-2002-y |
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10.1007/s12555-015-2002-y doi (DE-627)SPR02641113X (SPR)s12555-015-2002-y-e DE-627 ger DE-627 rakwb eng Park, PooGyeon verfasserin aut Auxiliary function-based integral/summation inequalities: Application to continuous/discrete time-delay systems 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2016 Abstract In the field of stability analysis for time-delay systems, finding precise bounds of integral/summation forms of quadratic functions plays a key role in reducing the conservatism. Consequently, there have been many attempts to develop inequalities yielding much tighter bounds. This paper develops novel inequalities using intermediate terms called auxiliary functions, which includes the existing inequalities as special cases. The stability conditions for continuous/discrete time-delay systems are derived in terms of linear matrix inequalities (LMIs) by using the proposed inequalities with simple numerical examples. Integral inequality (dpeaa)DE-He213 linear matrix inequality (dpeaa)DE-He213 stability analysis (dpeaa)DE-He213 summation inequality (dpeaa)DE-He213 time-delay systems (dpeaa)DE-He213 Lee, Won Il aut Lee, Seok Young aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 14(2016), 1 vom: Feb., Seite 3-11 (DE-627)SPR026303256 nnns volume:14 year:2016 number:1 month:02 pages:3-11 https://dx.doi.org/10.1007/s12555-015-2002-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 14 2016 1 02 3-11 |
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10.1007/s12555-015-2002-y doi (DE-627)SPR02641113X (SPR)s12555-015-2002-y-e DE-627 ger DE-627 rakwb eng Park, PooGyeon verfasserin aut Auxiliary function-based integral/summation inequalities: Application to continuous/discrete time-delay systems 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2016 Abstract In the field of stability analysis for time-delay systems, finding precise bounds of integral/summation forms of quadratic functions plays a key role in reducing the conservatism. Consequently, there have been many attempts to develop inequalities yielding much tighter bounds. This paper develops novel inequalities using intermediate terms called auxiliary functions, which includes the existing inequalities as special cases. The stability conditions for continuous/discrete time-delay systems are derived in terms of linear matrix inequalities (LMIs) by using the proposed inequalities with simple numerical examples. Integral inequality (dpeaa)DE-He213 linear matrix inequality (dpeaa)DE-He213 stability analysis (dpeaa)DE-He213 summation inequality (dpeaa)DE-He213 time-delay systems (dpeaa)DE-He213 Lee, Won Il aut Lee, Seok Young aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 14(2016), 1 vom: Feb., Seite 3-11 (DE-627)SPR026303256 nnns volume:14 year:2016 number:1 month:02 pages:3-11 https://dx.doi.org/10.1007/s12555-015-2002-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 14 2016 1 02 3-11 |
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Abstract In the field of stability analysis for time-delay systems, finding precise bounds of integral/summation forms of quadratic functions plays a key role in reducing the conservatism. Consequently, there have been many attempts to develop inequalities yielding much tighter bounds. This paper develops novel inequalities using intermediate terms called auxiliary functions, which includes the existing inequalities as special cases. The stability conditions for continuous/discrete time-delay systems are derived in terms of linear matrix inequalities (LMIs) by using the proposed inequalities with simple numerical examples. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2016 |
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Abstract In the field of stability analysis for time-delay systems, finding precise bounds of integral/summation forms of quadratic functions plays a key role in reducing the conservatism. Consequently, there have been many attempts to develop inequalities yielding much tighter bounds. This paper develops novel inequalities using intermediate terms called auxiliary functions, which includes the existing inequalities as special cases. The stability conditions for continuous/discrete time-delay systems are derived in terms of linear matrix inequalities (LMIs) by using the proposed inequalities with simple numerical examples. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2016 |
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Abstract In the field of stability analysis for time-delay systems, finding precise bounds of integral/summation forms of quadratic functions plays a key role in reducing the conservatism. Consequently, there have been many attempts to develop inequalities yielding much tighter bounds. This paper develops novel inequalities using intermediate terms called auxiliary functions, which includes the existing inequalities as special cases. The stability conditions for continuous/discrete time-delay systems are derived in terms of linear matrix inequalities (LMIs) by using the proposed inequalities with simple numerical examples. © Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg 2016 |
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Auxiliary function-based integral/summation inequalities: Application to continuous/discrete time-delay systems |
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