메뉴 건너뛰기




Volumn 45, Issue 14 PART 1, 2012, Pages 260-265

On the use of the Wirtinger inequalities for time-delay systems

Author keywords

Lyapunov; Stability analysis; Time delay systems

Indexed keywords

DELAY CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; TIME DELAY; TIMING CIRCUITS;

EID: 84866063349     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20120622-3-US-4021.00035     Document Type: Conference Paper
Times cited : (94)

References (18)
  • 1
    • 68949140901 scopus 로고    scopus 로고
    • An augmented model for robust stability analysis of time-varying delay systems
    • September
    • Y. Ariba and F. Gouaisbaut. An augmented model for robust stability analysis of time-varying delay systems. Int. J. Control, 82:1616-1626, September 2009.
    • (2009) Int. J. Control , vol.82 , pp. 1616-1626
    • Ariba, Y.1    Gouaisbaut, F.2
  • 3
    • 79960143376 scopus 로고    scopus 로고
    • Convergence and equivalence results for the Jensen's inequality - Application to time-delay and sampled-data systems
    • C. Briat. Convergence and equivalence results for the Jensen's inequality - application to time-delay and sampled-data systems. IEEE Transactions on Automatic Control, 56(7):1660-1665, 2011.
    • (2011) IEEE Transactions on Automatic Control , vol.56 , Issue.7 , pp. 1660-1665
    • Briat, C.1
  • 7
    • 33947427956 scopus 로고    scopus 로고
    • Further improvement of free-weighting matrices technique for systems with time-varying delay
    • February
    • Y. He, Q. G. Wang, L. Xie, and C. Lin. Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Trans. on Automat. Control, 52:293-299, February 2007.
    • (2007) IEEE Trans. on Automat. Control , vol.52 , pp. 293-299
    • He, Y.1    Wang, Q.G.2    Xie, L.3    Lin, C.4
  • 8
    • 33646164397 scopus 로고    scopus 로고
    • Delay-dependent robust stability for uncertain linear systems with interval time-varying delay
    • X. Jiang and Q.L. Han. Delay-dependent robust stability for uncertain linear systems with interval time-varying delay. Automatica, 42(6):1059-1065, 2006.
    • (2006) Automatica , vol.42 , Issue.6 , pp. 1059-1065
    • Jiang, X.1    Han, Q.L.2
  • 10
    • 34247521318 scopus 로고    scopus 로고
    • Stability analysis of systems with uncertain time-varying delays
    • C.Y. Kao and A. Rantzer. Stability analysis of systems with uncertain time-varying delays. Automatica, 43(6): 959-970, 2007.
    • (2007) Automatica , vol.43 , Issue.6 , pp. 959-970
    • Kao, C.Y.1    Rantzer, A.2
  • 11
    • 80052024130 scopus 로고    scopus 로고
    • Note on stability of linear systems with timevarying delay
    • J.H. Kim. Note on stability of linear systems with timevarying delay. Automatica, 47(9):2118-2121, 2011.
    • (2011) Automatica , vol.47 , Issue.9 , pp. 2118-2121
    • Kim, J.H.1
  • 12
    • 84355161690 scopus 로고    scopus 로고
    • Wirtinger's inequality and lyapunov-based sampled-data stabilization
    • K. Liu and E. Fridman. Wirtinger's inequality and lyapunov-based sampled-data stabilization. Automatica, 48(1):102108, 2012.
    • (2012) Automatica , vol.48 , Issue.1 , pp. 102-108
    • Liu, K.1    Fridman, E.2
  • 13
    • 0033329333 scopus 로고    scopus 로고
    • Frequency sweeping tests for asymptotic stability: A model transformation for multiple delays
    • December
    • S. I. Niculescu and J Chen. Frequency sweeping tests for asymptotic stability: a model transformation for multiple delays. In IEEE Conference on Decision and Control, pages 4678-4683, December 1999.
    • (1999) IEEE Conference on Decision and Control , pp. 4678-4683
    • Niculescu, S.I.1    Chen, J.2
  • 14
    • 78650807125 scopus 로고    scopus 로고
    • Reciprocally convex approach to stability of systems with time-varying delays
    • P. Park, J.W. Ko, and C. Jeong. Reciprocally convex approach to stability of systems with time-varying delays. Automatica, 47(1):235-238, 2011.
    • (2011) Automatica , vol.47 , Issue.1 , pp. 235-238
    • Park, P.1    Ko, J.W.2    Jeong, C.3
  • 15
    • 60449112377 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for systems with interval delay
    • H. Shao. New delay-dependent stability criteria for systems with interval delay. Automatica, 45(3):744-749, 2009.
    • (2009) Automatica , vol.45 , Issue.3 , pp. 744-749
    • Shao, H.1
  • 17
    • 74149092560 scopus 로고    scopus 로고
    • Improved delay-range-dependent stability criteria for linear systems with time-varying delays
    • J. Sun, G.P. G.P. Liu, J. Chen, and D. Rees. Improved delay-range-dependent stability criteria for linear systems with time-varying delays. Automatica, 46(2):466-470, 2010.
    • (2010) Automatica , vol.46 , Issue.2 , pp. 466-470
    • Sun, J.1    Liu, G.P.2    Chen, J.3    Rees, D.4
  • 18
    • 0035278761 scopus 로고    scopus 로고
    • Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions
    • March
    • J. Zhang, C. R. Knopse, and P. Tsiotras. Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions. IEEE Trans. on Automat. Control, 46(3):482-486, March 2001.
    • (2001) IEEE Trans. on Automat. Control , vol.46 , Issue.3 , pp. 482-486
    • Zhang, J.1    Knopse, C.R.2    Tsiotras, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.