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Volumn 53, Issue 6, 2008, Pages 1526-1531

Input-to-state stability of time-delay systems: A link with exponential stability

Author keywords

Exponential stability; Input to state stability (ISS); Liapunov Krasovskii theorem; Nonlinear time delay systems

Indexed keywords

AEROSPACE ENGINEERING; CLOSED LOOP CONTROL SYSTEMS; COMPUTER NETWORKS; DYNAMICS; FEEDBACK CONTROL; SOUNDING APPARATUS; SYSTEM STABILITY; TIME DELAY;

EID: 51449088467     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.928340     Document Type: Article
Times cited : (92)

References (22)
  • 1
    • 0000454435 scopus 로고    scopus 로고
    • The ISS philosophy as a unifiying framework for stability-like behavior
    • E. Sontag, "The ISS philosophy as a unifiying framework for stability-like behavior," in Proc. Nonlinear Control in the Year 2000, 2000, vol. 2, p. 443-468.
    • (2000) Proc. Nonlinear Control in the Year 2000 , vol.2 , pp. 443-468
    • Sontag, E.1
  • 2
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • Apr
    • E. Sontag, "Smooth stabilization implies coprime factorization," IEEE Trans. Autom. Control, vol. 34, no. 4, pp. 435-443, Apr. 1989.
    • (1989) IEEE Trans. Autom. Control , vol.34 , Issue.4 , pp. 435-443
    • Sontag, E.1
  • 3
    • 0032124188 scopus 로고    scopus 로고
    • Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
    • Jul
    • A. Teel, "Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem," IEEE Trans. Autom. Control, vol. 43, no. 7, pp. 960-964, Jul. 1998.
    • (1998) IEEE Trans. Autom. Control , vol.43 , Issue.7 , pp. 960-964
    • Teel, A.1
  • 4
    • 33749983416 scopus 로고    scopus 로고
    • A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems
    • P. Pepe and Z.-P. Jiang, "A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems," Syst. Control Lett., vol. 55, no. 12, pp. 1006-1014, 2006.
    • (2006) Syst. Control Lett , vol.55 , Issue.12 , pp. 1006-1014
    • Pepe, P.1    Jiang, Z.-P.2
  • 5
    • 33746034150 scopus 로고    scopus 로고
    • Quantization, time delays, and nonlinear stabilization
    • Jul
    • D. Liberzon, "Quantization, time delays, and nonlinear stabilization," IEEE Trans. Autom. Control, vol. 51, no. 7, pp. 1190-1195, Jul. 2006.
    • (2006) IEEE Trans. Autom. Control , vol.51 , Issue.7 , pp. 1190-1195
    • Liberzon, D.1
  • 6
    • 39549083978 scopus 로고    scopus 로고
    • Stabilization of bilaterally controlled teleoperators with communication delay: An ISS approach
    • I. Polushin and H. Marquez, "Stabilization of bilaterally controlled teleoperators with communication delay: An ISS approach," Syst. Control Lett., vol. 24, pp. 351-359, 2003.
    • (2003) Syst. Control Lett , vol.24 , pp. 351-359
    • Polushin, I.1    Marquez, H.2
  • 7
    • 46449118360 scopus 로고    scopus 로고
    • Relation between ex-ponential stability and input-to-state stability for time-delay systems
    • New York, NY
    • N. Yeganefar, M. Dambrine, and N. Yeganefar, "Relation between ex-ponential stability and input-to-state stability for time-delay systems," in Proc. Autom. Control Conf., New York, NY, 2007, pp. 4919-4920.
    • (2007) Proc. Autom. Control Conf , pp. 4919-4920
    • Yeganefar, N.1    Dambrine, M.2    Yeganefar, N.3
  • 8
    • 46449138990 scopus 로고    scopus 로고
    • On Input-to-state stability for nonlinear systems with delayed feedbacks
    • New York, NY
    • E. Mazenc, M. Michael, and L. Zongil, "On Input-to-state stability for nonlinear systems with delayed feedbacks," in Proc. Autom. Control Conf., New York, NY, 2007, pp. 4804-4809.
    • (2007) Proc. Autom. Control Conf , pp. 4804-4809
    • Mazenc, E.1    Michael, M.2    Zongil, L.3
  • 10
    • 29244442980 scopus 로고
    • Existence and stability of solutions of a delay-differential system
    • R. Driver, "Existence and stability of solutions of a delay-differential system," Arch. Rational Mech. Anal., vol. 10, pp. 401-426, 1962.
    • (1962) Arch. Rational Mech. Anal , vol.10 , pp. 401-426
    • Driver, R.1
  • 12
    • 28844507497 scopus 로고    scopus 로고
    • Lyaponuv theorems for systems described by retarded functional differential equations
    • I. Karafyllis, "Lyaponuv theorems for systems described by retarded functional differential equations," Nonlinear Anal.: Theory Methods Appl., vol. 64, no. 3, pp. 590-617, 2006.
    • (2006) Nonlinear Anal.: Theory Methods Appl , vol.64 , Issue.3 , pp. 590-617
    • Karafyllis, I.1
  • 13
    • 33847369347 scopus 로고    scopus 로고
    • On Lyapunov-Krasovskii functionals under carathéodory conditions
    • P. Pepe, "On Lyapunov-Krasovskii functionals under carathéodory conditions," Automatica, vol. 43, no. 4, pp. 701--706, 2007.
    • (2007) Automatica , vol.43 , Issue.4 , pp. 701-706
    • Pepe, P.1
  • 14
    • 34249106681 scopus 로고    scopus 로고
    • The problem of the absolute continuity for Liapunov-Krasovskii functionals
    • May
    • P. Pepe, "The problem of the absolute continuity for Liapunov-Krasovskii functionals," IEEE Trans. Autom. Control, vol. 52, no. 5, pp. 953-957, May 2007.
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.5 , pp. 953-957
    • Pepe, P.1
  • 15
    • 2942592712 scopus 로고    scopus 로고
    • Input-output feedback linearization of time-delay systems
    • May
    • L. Marquez-Martinez and C. Moog. "Input-output feedback linearization of time-delay systems," IEEE Trans. Autom. Control, vol. 49, no. 5, pp. 781-786, May 2004.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.5 , pp. 781-786
    • Marquez-Martinez, L.1    Moog, C.2
  • 16
    • 33845287693 scopus 로고    scopus 로고
    • New insights on the analysis of nonlinear time-delay systems: Application to the triangular equivalence
    • L. Marquez-Martinez and C. Moog, "New insights on the analysis of nonlinear time-delay systems: Application to the triangular equivalence," Syst. Control Lett., vol. 56, pp. 133-140, 2007.
    • (2007) Syst. Control Lett , vol.56 , pp. 133-140
    • Marquez-Martinez, L.1    Moog, C.2
  • 17
    • 0037141562 scopus 로고    scopus 로고
    • Input-output linearization of retarded non-linear systems by using an extension of lie derivative
    • T. Oguchi, A. Watanabe, and T. Nakamizo, "Input-output linearization of retarded non-linear systems by using an extension of lie derivative," Int. J. Control, vol. 75, no. 8, pp. 582-590, 2002.
    • (2002) Int. J. Control , vol.75 , Issue.8 , pp. 582-590
    • Oguchi, T.1    Watanabe, A.2    Nakamizo, T.3
  • 18
    • 0041807578 scopus 로고    scopus 로고
    • Input-output linearization with delay cancellation for nonlinear delay systems: The problem of the internal stability
    • Special Issue on Time Delay Systems
    • A. Germain, C. Manes, and P. Pene, "Input-output linearization with delay cancellation for nonlinear delay systems: The problem of the internal stability," Int. J. Robust Nonlinear Control, vol. 13, no. 9, pp. 909-937, 2003, Special Issue on Time Delay Systems.
    • (2003) Int. J. Robust Nonlinear Control , vol.13 , Issue.9 , pp. 909-937
    • Germain, A.1    Manes, C.2    Pene, P.3
  • 19
    • 0141719488 scopus 로고    scopus 로고
    • Preservation of the full relative degree for a class of delay systems under sampling
    • P. Pepe, "Preservation of the full relative degree for a class of delay systems under sampling," ASME J. Dyn. Syst. Meas. Control, vol. 125, no. 2, pp. 267-270, 2003.
    • (2003) ASME J. Dyn. Syst. Meas. Control , vol.125 , Issue.2 , pp. 267-270
    • Pepe, P.1
  • 20
    • 4043105644 scopus 로고    scopus 로고
    • Adaptive output tracking for a class of nonlinear time delay systems
    • P. Pepe, "Adaptive output tracking for a class of nonlinear time delay systems," Int. J. Adapt. Control Signal Process., vol. 18, no. 6, pp. 489-503, 2004.
    • (2004) Int. J. Adapt. Control Signal Process , vol.18 , Issue.6 , pp. 489-503
    • Pepe, P.1
  • 22
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed. Englewood Cliffs, NJ: Prentice-Hall
    • H. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.