메뉴 건너뛰기




Volumn 56, Issue 7, 2011, Pages 1660-1665

Convergence and equivalence results for the Jensen's inequality-application to time-delay and sampled-data systems

Author keywords

Conservatism; fragmentation; Gr ss inequality; Jensen's inequality; sampled data systems; time delay systems

Indexed keywords

CONSERVATISM; FRAGMENTATION; JENSEN'S INEQUALITY; SAMPLED DATA SYSTEMS; TIME-DELAY SYSTEMS;

EID: 79960143376     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2121410     Document Type: Article
Times cited : (206)

References (23)
  • 1
    • 34250609333 scopus 로고
    • Sur les fonctions convexes et les inégalités entre les valeurs moyennes
    • Dec.
    • J. Jensen, "Sur les fonctions convexes et les iné galités entre les valeurs moyennes," Acta Mathematica, vol. 30, pp. 175-193, Dec. 1905.
    • (1905) Acta Mathematica , vol.30 , pp. 175-193
    • Jensen, J.1
  • 6
    • 70349423399 scopus 로고    scopus 로고
    • ∞ delay-scheduled control of linear systems with time-varying delays
    • Aug.
    • ∞ delay-scheduled control of linear systems with time-varying delays," IEEE Trans. Autom. Control, vol. 42, no. 8, pp. 2255-2260, Aug. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.42 , Issue.8 , pp. 2255-2260
    • Briat, C.1    Sename, O.2    Lafay, J.-F.3
  • 7
    • 27344455199 scopus 로고    scopus 로고
    • Absolute stability of time-delay systems with sector-bounded nonlinearity
    • DOI 10.1016/j.automatica.2005.08.005, PII S0005109805002815
    • Q. Han, "Absolute stability of time-delay systems with sector-bounded nonlinearity," Automatica, vol. 41, pp. 2171-2176, 2005. (Pubitemid 41525678)
    • (2005) Automatica , vol.41 , Issue.12 , pp. 2171-2176
    • Han, Q.-L.1
  • 8
    • 79961019946 scopus 로고    scopus 로고
    • Parameter dependent state-feedback control of LPV time delay systems with time varying delays using a projection approach
    • Seoul, Korea
    • C. Briat, O. Sename, and J.-F. Lafay, "Parameter dependent state-feedback control of LPV time delay systems with time varying delays using a projection approach," in Proc. 17th IFAC World Congress, Seoul, Korea, 2008, pp. 4946-4951.
    • (2008) Proc. 17th IFAC World Congress , pp. 4946-4951
    • Briat, C.1    Sename, O.2    Lafay, J.-F.3
  • 9
    • 33947425609 scopus 로고    scopus 로고
    • ∞ filtering for uncertain discrete-time systems with time-varying delay based on a finite sum inequality
    • DOI 10.1109/TCSII.2006.884116
    • ∞ filtering for uncertain discrete-time systems with time-varying delay based on a finite sum inequality," IEEE Trans. Circuits Syst. II, vol. 53, no. 12, pp. 1466-1470, Dec. 2006. (Pubitemid 46443173)
    • (2006) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.53 , Issue.12 , pp. 1466-1470
    • Zhang, X.-M.1    Han, Q.-L.2
  • 10
    • 79961018119 scopus 로고    scopus 로고
    • On robustness of discrete-time LTI systems with varying time delays
    • Seoul, Korea
    • C. Kao, "On robustness of discrete-time LTI systems with varying time delays," in Proc. 17th IFAC World Congress, Seoul, Korea, 2008, pp. 12336-12341.
    • (2008) Proc. 17th IFAC World Congress , pp. 12336-12341
    • Kao, C.1
  • 11
    • 79961153171 scopus 로고    scopus 로고
    • Delay-dependent stability analysis of linear time delay systems
    • L'Aquila, Italy, [CD ROM]
    • F. Gouaisbaut and D. Peaucelle, "Delay-dependent stability analysis of linear time delay systems," in Proc. 6th IFAC Workshop Time Delay Syst., L'Aquila, Italy, 2006, [CD ROM].
    • (2006) Proc. 6th IFAC Workshop Time Delay Syst.
    • Gouaisbaut, F.1    Peaucelle, D.2
  • 12
    • 33947713030 scopus 로고    scopus 로고
    • Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation
    • DOI 10.1016/j.automatica.2006.11.005, PII S0005109807000192
    • D. Peaucelle, D. Arzelier, D. Henrion, and F. Gouaisbaut, "Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation," Automatica, vol. 43, pp. 795-804, 2007. (Pubitemid 46507428)
    • (2007) Automatica , vol.43 , Issue.5 , pp. 795-804
    • Peaucelle, D.1    Arzelier, D.2    Henrion, D.3    Gouaisbaut, F.4
  • 13
    • 79961018893 scopus 로고    scopus 로고
    • A delay decomposition approach to stability of linear neutral systems
    • Seoul, Korea
    • Q. Han, "A delay decomposition approach to stability of linear neutral systems," in Proc. 17th IFAC World Congress, Seoul, Korea, 2008, pp. 2607-2612.
    • (2008) Proc. 17th IFAC World Congress , pp. 2607-2612
    • Han, Q.1
  • 15
    • 0002775052 scopus 로고    scopus 로고
    • A generalization of grüss inequality in inner product spaces and applications
    • S. Dragomir, "A generalization of grüss inequality in inner product spaces and applications," J. Math. Anal. Appl., vol. 237, pp. 74-82, 1999.
    • (1999) J. Math. Anal. Appl. , vol.237 , pp. 74-82
    • Dragomir, S.1
  • 16
    • 79960115418 scopus 로고    scopus 로고
    • A converse of the Jensen inequality for convex mappings of several variables and applications
    • S. Dragomir, "A converse of the Jensen inequality for convex mappings of several variables and applications," Acta Mathematica Vietnamica, vol. 29, no. 1, pp. 77-88, 2004.
    • (2004) Acta Mathematica Vietnamica , vol.29 , Issue.1 , pp. 77-88
    • Dragomir, S.1
  • 17
    • 70350020735 scopus 로고    scopus 로고
    • Best possible bound for Jensen's inequality
    • S. Simic, "Best possible bound for Jensen's inequality," Appl. Math. Comput., vol. 215, pp. 2224-2228, 2009.
    • (2009) Appl. Math. Comput. , vol.215 , pp. 2224-2228
    • Simic, S.1
  • 18
    • 40949101745 scopus 로고    scopus 로고
    • Exponential stability of impulsive systems with application to uncertain sampled-data systems
    • DOI 10.1016/j.sysconle.2007.10.009, PII S0167691107001387
    • P. Naghshtabrizi, J. Hespanha, and A. Teel, "Exponential stability of impulsive systems with application to uncertain sampled-data systems," Syst. Control Lett., vol. 57, pp. 378-385, 2008. (Pubitemid 351417660)
    • (2008) Systems and Control Letters , vol.57 , Issue.5 , pp. 378-385
    • Naghshtabrizi, P.1    Hespanha, J.P.2    Teel, A.R.3
  • 19
    • 77950800777 scopus 로고    scopus 로고
    • Stability analysis for sampled-data systems with a time-varying period
    • Shanghai, China
    • A. Seuret, "Stability analysis for sampled-data systems with a time-varying period," in Proc. 48th Conf. Decision Control, Shanghai, China, 2009, pp. 8130-8135.
    • (2009) Proc. 48th Conf. Decision Control , pp. 8130-8135
    • Seuret, A.1
  • 20
    • 0035922479 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain state-delayed systems
    • Y. Moon, P. Park, W. Kwon, and Y. Lee, "Delay-dependent robust stabilization of uncertain state-delayed systems," Int. J. Control, vol. 74, pp. 1447-1455, 2001.
    • (2001) Int. J. Control , vol.74 , pp. 1447-1455
    • Moon, Y.1    Park, P.2    Kwon, W.3    Lee, Y.4
  • 21
    • 21344457422 scopus 로고    scopus 로고
    • Ellipsoidal sets for resilient and robust static output-feedback
    • DOI 10.1109/TAC.2005.849256
    • D. Peaucelle and D. Arzelier, "Ellipsoidal sets for resilient and robust static output feedback," IEEE Trans. Autom. Control, vol. 50, no. 6, pp. 899-904, Jun. 2005. (Pubitemid 40902720)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.6 , pp. 899-904
    • Peaucelle, D.1    Arzelier, D.2
  • 22
    • 61349107469 scopus 로고    scopus 로고
    • Static output feedback sliding mode control design via an artificial stabilizing delay
    • Feb.
    • A. Seuret, C. Edwards, S. Spurgeon, and E. Fridman, "Static output feedback sliding mode control design via an artificial stabilizing delay," IEEE Trans. Autom. Control, vol. 54, no. 2, pp. 256-265, Feb. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.2 , pp. 256-265
    • Seuret, A.1    Edwards, C.2    Spurgeon, S.3    Fridman, E.4
  • 23
    • 37549025769 scopus 로고    scopus 로고
    • ∞ filtering for a class of uncertain linear systems with time-varying delay
    • ∞ filtering for a class of uncertain linear systems with time-varying delay," Automatica, vol. 44, pp. 157-166, 2008.
    • (2008) Automatica , vol.44 , pp. 157-166
    • Zhang, X.-M.1    Han, Q.-L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.