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Volumn 328, Issue , 2006, Pages 139-170

Stability analysis of time-delay systems: A Lyapunov approach

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; SYSTEM STABILITY; TIME DELAY; TIMING CIRCUITS;

EID: 33748775802     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/11583592_4     Document Type: Article
Times cited : (48)

References (28)
  • 2
    • 84984086008 scopus 로고
    • Chemical reactor stability and sensitivity
    • O. Bilous and N. Admundson. Chemical reactor stability and sensitivity. AI ChE Journal, 1:513-521, 1955.
    • (1955) AI ChE Journal , vol.1 , pp. 513-521
    • Bilous, O.1    Admundson, N.2
  • 5
    • 0037871826 scopus 로고    scopus 로고
    • Global stability of congestion controllers for the Internet
    • S. Deb and R. Srikant. Global stability of congestion controllers for the Internet. IEEE Transactions on Automatic Control, 48(6): 1055-1060, 2003.
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.6 , pp. 1055-1060
    • Deb, S.1    Srikant, R.2
  • 7
    • 0012716497 scopus 로고    scopus 로고
    • ∞ control: Constant and time-varying delays
    • ∞ control: constant and time-varying delays. Int. J. Control, 76(1):48-60, 2003.
    • (2003) Int. J. Control , vol.76 , Issue.1 , pp. 48-60
    • Fridman, E.1    Shaked, U.2
  • 9
    • 0035838737 scopus 로고    scopus 로고
    • A further refinement of discretized Lyapunov functional method for the stability of time-delay systems
    • K. Gu. A further refinement of discretized Lyapunov functional method for the stability of time-delay systems. Int. J. Control, 74(10):967-976, 2001.
    • (2001) Int. J. Control , vol.74 , Issue.10 , pp. 967-976
    • Gu, K.1
  • 10
    • 33748782453 scopus 로고    scopus 로고
    • Stability analysis of DAE: A Lyapunov approach
    • New Orleans, LA, July 11-14
    • K. Gu. Stability analysis of DAE: a Lyapunov approach. 6th SIAM Conference on Control and its Applications, MS27(4), New Orleans, LA, July 11-14.
    • 6th SIAM Conference on Control and Its Applications , vol.MS27 , Issue.4
    • Gu, K.1
  • 12
    • 0033708053 scopus 로고    scopus 로고
    • Additional dynamics in transformed time-delay systems
    • K. Gu and S.-I. Niculescu. Additional dynamics in transformed time-delay systems. IEEE Trans. Auto. Control, 45(3):572-575, 2000.
    • (2000) IEEE Trans. Auto. Control , vol.45 , Issue.3 , pp. 572-575
    • Gu, K.1    Niculescu, S.-I.2
  • 14
    • 0035453658 scopus 로고    scopus 로고
    • Stability of linear systems with time-varying delay: A generalized discretized Lyapunov functional approach
    • Q.-L. Han and K. Gu. Stability of linear systems with time-varying delay: a generalized discretized Lyapunov functional approach. Asian Journal of Control, 3(3):170-180, 2001.
    • (2001) Asian Journal of Control , vol.3 , Issue.3 , pp. 170-180
    • Han, Q.-L.1    Gu, K.2
  • 15
    • 0000348539 scopus 로고
    • A Lyapunov functional for a matrix difference-differential equation
    • E. F. Infante and W. V. Castelan. A Lyapunov functional for a matrix difference-differential equation. J. Diff. Equations, 29:439-451, 1978.
    • (1978) J. Diff. Equations , vol.29 , pp. 439-451
    • Infante, E.F.1    Castelan, W.V.2
  • 16
    • 2942511681 scopus 로고    scopus 로고
    • Simple stability criteria for systems with time-varying delays
    • C.-Y. Kao and B. Lincoln. Simple stability criteria for systems with time-varying delays. Automatica, 40(8): 1429-1434, 2004.
    • (2004) Automatica , vol.40 , Issue.8 , pp. 1429-1434
    • Kao, C.-Y.1    Lincoln, B.2
  • 17
    • 0001498675 scopus 로고    scopus 로고
    • Mathematical modelling of the internet
    • (Eds. B. ENGQUIST, W. SCHMID), Springer-Verlag: Berlin
    • F. P. Kelly. Mathematical modelling of the internet, in Mathematics unlimited - 2001 and beyond (Eds. B. ENGQUIST, W. SCHMID), Springer-Verlag: Berlin, 685-702, 2001.
    • (2001) Mathematics Unlimited - 2001 and beyond , pp. 685-702
    • Kelly, F.P.1
  • 19
    • 0003988657 scopus 로고
    • Moscow, [English translation] Stanford University Press, Stanford, CA, 1963
    • N. N. Krasovskii. Stability of Motion [Russian], Moscow, 1959; [English translation] Stanford University Press, Stanford, CA, 1963.
    • (1959) Stability of Motion [Russian]
    • Krasovskii, N.N.1
  • 20
    • 0028593731 scopus 로고
    • Stability of chemical reactions in a CSTR with delayed recycle stream
    • Baltimore, Maryland, U.S.A.
    • B. Lehman. Stability of chemical reactions in a CSTR with delayed recycle stream. Proc. 1994 Amer. Contr. Conf., Baltimore, Maryland, U.S.A., 3521-3522, 1994.
    • (1994) Proc. 1994 Amer. Contr. Conf. , pp. 3521-3522
    • Lehman, B.1
  • 21
    • 0026395059 scopus 로고
    • Stability of a continuous stirred reactor with delay in the recycle streams
    • Brighton, England
    • B. Lehman and E. I. Verriest. Stability of a continuous stirred reactor with delay in the recycle streams. Proc. 80th IEEE Conf. Dec. Contr., Brighton, England, 1875-1876, 1991.
    • (1991) Proc. 80th IEEE Conf. Dec. Contr. , pp. 1875-1876
    • Lehman, B.1    Verriest, E.I.2
  • 22
    • 1542378351 scopus 로고    scopus 로고
    • Remarks on the stability of a class of TCP-like congestion control models
    • Maui, Hawaii
    • F. Mazene and S.-I. Niculescu. Remarks on the stability of a class of TCP-like congestion control models. Proc 42nd IEEE Conf. Dec. Contr., Maui, Hawaii, 2003.
    • (2003) Proc 42nd IEEE Conf. Dec. Contr.
    • Mazene, F.1    Niculescu, S.-I.2
  • 24
    • 0003319138 scopus 로고    scopus 로고
    • Delay-independent stability in lossless propagation models with applications, part i and II
    • Perpignan, France
    • S.-I. Niculescu and Vl. Rasvan. Delay-independent stability in lossless propagation models with applications, part I and II. Proc. MTNS 2000, Perpignan, France, 2000.
    • (2000) Proc. MTNS 2000
    • Niculescu, S.-I.1    Rasvan, Vl.2
  • 25
    • 0032665002 scopus 로고    scopus 로고
    • A delay-dependent stability for systems with uncertain time-invariant delays
    • P. Park. A delay-dependent stability for systems with uncertain time-invariant delays. IEEE Trans. Auto. Control, 44(4):876-877, 1999.
    • (1999) IEEE Trans. Auto. Control , vol.44 , Issue.4 , pp. 876-877
    • Park, P.1
  • 27
    • 0000499507 scopus 로고
    • Quadratic Lyapunov functionals for systems with delay
    • Y. M. Repin. Quadratic Lyapunov functionals for systems with delay. [Russian] Prikl. Mat. Meh., 29:564-566, 1965.
    • (1965) [Russian] Prikl. Mat. Meh. , vol.29 , pp. 564-566
    • Repin, Y.M.1
  • 28
    • 0036343635 scopus 로고    scopus 로고
    • How good are deterministic fluid models of internet congestion control
    • New York, NY, USA
    • S. Shakkottai and R. Srikant. How good are deterministic fluid models of internet congestion control. Proc. IEEE INFOCOM, New York, NY, USA, 2002.
    • (2002) Proc. IEEE INFOCOM
    • Shakkottai, S.1    Srikant, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.