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Volumn 79, Issue 3, 2006, Pages 249-262

Methods for stability evaluation for linear time varying, discrete-time systems on finite time horizon

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

EID: 31844445292     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170500513181     Document Type: Article
Times cited : (9)

References (22)
  • 1
    • 0020132587 scopus 로고
    • Internal and external stability of linear time varying systems
    • B.D.O. Anderson, "Internal and external stability of linear time varying systems", SIAM Journal on Control and Optimization, 20, pp. 408-413, 1982.
    • (1982) SIAM Journal on Control and Optimization , vol.20 , pp. 408-413
    • Anderson, B.D.O.1
  • 3
    • 0028549967 scopus 로고
    • Equivalence of stability concepts for discrete time-varying systems"
    • A. Bhaya and F.D.C. Mota, "Equivalence of stability concepts for discrete time-varying systems", Int. J. Robust Nonlinear Control, 4, pp. 725-740, 1994.
    • (1994) Int. J. Robust Nonlinear Control , vol.4 , pp. 725-740
    • Bhaya, A.1    Mota, F.D.C.2
  • 5
    • 0033321099 scopus 로고    scopus 로고
    • A new approach for analysis and synthesis of time-varying Systems
    • G.E. Dullerud and S. Lall, "A new approach for analysis and synthesis of time-varying Systems", IEEE Transactions on Automatic Control, 44, pp. 1486-1497, 1999.
    • (1999) IEEE Transactions on Automatic Control , vol.44 , pp. 1486-1497
    • Dullerud, G.E.1    Lall, S.2
  • 6
    • 0024068939 scopus 로고
    • Stability theory for linear time-invariant plants with periodic controllers
    • B.A. Francis and T.T. Georgiou, "Stability theory for linear time-invariant plants with periodic controllers", IEEE Trans. Automatic Control, AC-33, pp. 820-832, 1988.
    • (1988) IEEE Trans. Automatic Control , vol.AC-33 , pp. 820-832
    • Francis, B.A.1    Georgiou, T.T.2
  • 7
    • 0000168678 scopus 로고
    • Necessary and sufficient conditions for stability of time-varying discrete interval matrices
    • H.S. Han and J.G. Lee, "Necessary and sufficient conditions for stability of time-varying discrete interval matrices," Int. J. Control, 59, pp. 1021-1029, 1994.
    • (1994) Int. J. Control , vol.59 , pp. 1021-1029
    • Han, H.S.1    Lee, J.G.2
  • 8
    • 0029373676 scopus 로고
    • Input-output stability of sampled-data linear time-varying systems
    • P. Iglesias, "Input-output stability of sampled-data linear time-varying systems", IEEE Trans. Aut. Cont., 40, pp. 1647-1650, 1995.
    • (1995) IEEE Trans. Aut. Cont. , vol.40 , pp. 1647-1650
    • Iglesias, P.1
  • 10
    • 0024704310 scopus 로고
    • Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems
    • S.R. Kolla, R.K. Yedavalli and J.B. Farison, "Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems", Int. J. Contr., 50, pp. 151-159, 1989.
    • (1989) Int. J. Contr. , vol.50 , pp. 151-159
    • Kolla, S.R.1    Yedavalli, R.K.2    Farison, J.B.3
  • 11
    • 0039628058 scopus 로고    scopus 로고
    • Extension of modal analysis to linear time-varying systems
    • K. Liu, Extension of modal analysis to linear time-varying systems, Journal of Sound and Vibration, 226, pp. 149-167, 1999.
    • (1999) Journal of Sound and Vibration , vol.226 , pp. 149-167
    • Liu, K.1
  • 12
    • 0042400442 scopus 로고
    • Stability and stabilizability of linear infinite-dimensional discrete-time systems
    • H. Logemann, "Stability and stabilizability of linear infinite-dimensional discrete-time systems", IMA J. Math. Control & Information, 9, pp. 255-263, 1992.
    • (1992) IMA J. Math. Control & Information , vol.9 , pp. 255-263
    • Logemann, H.1
  • 13
    • 0033903770 scopus 로고    scopus 로고
    • On robust stability of time-variant discrete-time nonlinear systems with bounded parameter perturbations
    • D.P. Mandic and J.A. Chambers, "On robust stability of time-variant discrete-time nonlinear systems with bounded parameter perturbations", IEEE Trans. Circuits Syst. I, 47, pp. 185-188, 2000.
    • (2000) IEEE Trans. Circuits Syst. i , vol.47 , pp. 185-188
    • Mandic, D.P.1    Chambers, J.A.2
  • 14
    • 0024681818 scopus 로고
    • An adaptive controller which provides Lyapunov stability
    • D.E. Miller and E.J. Davison, "An adaptive controller which provides Lyapunov stability", IEEE Trans. Automat. Control, 34, pp. 599-609, 1989.
    • (1989) IEEE Trans. Automat. Control , vol.34 , pp. 599-609
    • Miller, D.E.1    Davison, E.J.2
  • 17
    • 84947474758 scopus 로고    scopus 로고
    • Applications of discrete evolution operators in time-varying systems
    • Porto 4-7, September
    • P. Orłowski, "Applications of discrete evolution operators in time-varying systems", in European Control Conference, Porto 4-7, September, pp. 3259-3264, 2001.
    • (2001) European Control Conference , pp. 3259-3264
    • Orłowski, P.1
  • 18
    • 0007438353 scopus 로고
    • On stability of linear time-varying infinite dimensional discrete-time systems
    • K.M. Przyłuski and S. Rolewicz, "On stability of linear time-varying infinite dimensional discrete-time systems", Syst. Contr. Let., 4, pp. 307-315, 1984.
    • (1984) Syst. Contr. Let. , vol.4 , pp. 307-315
    • Przyłuski, K.M.1    Rolewicz, S.2
  • 19
    • 0027609609 scopus 로고
    • Conditions for the equivalence of internal and external stability for distributed parameter systems
    • R. Rebarber, "Conditions for the equivalence of internal and external stability for distributed parameter systems", IEEE Trans. On Automat. Control, 31, pp. 994-998, 1993.
    • (1993) IEEE Trans. on Automat. Control , vol.31 , pp. 994-998
    • Rebarber, R.1
  • 20
    • 0021204978 scopus 로고
    • Linear time-variant systems: Stability of reduced models
    • S. Shokoohi and L. Silverman "Linear time-variant systems: stability of reduced models", Automatica, 20, pp. 59-67, 1987.
    • (1987) Automatica , vol.20 , pp. 59-67
    • Shokoohi, S.1    Silverman, L.2
  • 21
    • 0032279504 scopus 로고    scopus 로고
    • On the stability and existence of common Lyapunov functions for stable linear switching systems
    • Tampa, FL
    • R.N. Shorten and K.S. Narendra, "On the stability and existence of common Lyapunov functions for stable linear switching systems", in Proc. of the 37th IEEE Conference on Decision and Control, Tampa, FL, pp. 3723-3724, 1998.
    • (1998) Proc. of the 37th IEEE Conference on Decision and Control , pp. 3723-3724
    • Shorten, R.N.1    Narendra, K.S.2
  • 22
    • 0040010220 scopus 로고
    • On stability radii of infinite dimensional time-varying discrete-time systems
    • F. Wirth and D. Hinrichsen, "On stability radii of infinite dimensional time-varying discrete-time systems", IMA Journal of Mathematical Control and Information, 11, pp. 253-276, 1994.
    • (1994) IMA Journal of Mathematical Control and Information , vol.11 , pp. 253-276
    • Wirth, F.1    Hinrichsen, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.