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Volumn 72, Issue 14, 1999, Pages 1299-1309

Frequency domain evaluation of circle criterion, Popov criterion and off-axis circle criterion in the MIMO case

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FEEDBACK; FREQUENCY DOMAIN ANALYSIS; GRAPHIC METHODS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; MULTIVARIABLE CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; STABILITY CRITERIA;

EID: 0033184972     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/002071799220272     Document Type: Article
Times cited : (18)

References (18)
  • 2
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    • CHO, Y. S., and NARENDRA, K. S, 1968, An off-axis circle-criterion for the stability of feed-back systems with monotonie nonlinearity. IEEE Transactions on Automatic Control, 13, 413-416.
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    • Cho, Y.S.1    Narendra, K.S.2
  • 6
    • 0003227960 scopus 로고
    • The absolute stability of systems with many nonlinearities
    • JURY, E. I., and LEE, B. W., 1965, The absolute stability of systems with many nonlinearities. Automatic Remote Control, 26, 943-961.
    • (1965) Automatic Remote Control , vol.26 , pp. 943-961
    • Jury, E.I.1    Lee, B.W.2
  • 8
    • 0019007017 scopus 로고
    • A comparison of lyapunov and hyperstability approaches to adaptive control of continuous systems
    • NARENDRA, K. S., and VALAVANI, L. S., 1980, A comparison of Lyapunov and hyperstability approaches to adaptive control of continuous systems. IEEE Transactions on Automatic Control, 25, 243-247.
    • (1980) IEEE Transactions on Automatic Control , vol.25 , pp. 243-247
    • Narendra, K.S.1    Valavani, L.S.2
  • 10
    • 0024034288 scopus 로고
    • Search method for the weighting matrix of the weighted multivariable circle criterion
    • SAEKI, M., and ARAKI, M., 1988, Search method for the weighting matrix of the weighted multivariable circle criterion. International Journal of Control, 47, 1811-1821.
    • (1988) International Journal of Control , vol.47 , pp. 1811-1821
    • Saeki, M.1    Araki, M.2
  • 11
    • 0024107753 scopus 로고
    • Search method for the matrix multiplier time constant and the weighting matrix of the multivariable Popov stability criterion
    • SAEKI, M., OKUBO, Y., and ANDO, K., 1988, Search method for the matrix multiplier time constant and the weighting matrix of the multivariable Popov stability criterion. International Journal of Control, 48, 2075-2084.
    • (1988) International Journal of Control , vol.48 , pp. 2075-2084
    • Saeki, M.1    Okubo, Y.2    Ando, K.3
  • 12
    • 84859689702 scopus 로고    scopus 로고
    • Der einsatz von multisektorenkriterien zur stabilitätsanalyse nichtlinearer mehrgrößenregelkreise
    • VDI-Verlag, Reihe 8, Nr. 661 (in German)
    • SCHMITT, G., 1997, Der Einsatz von Multisektorenkriterien zur Stabilitätsanalyse nichtlinearer Mehrgrößenregelkreise. VDI-Verlag, Fortschritt-Berichte VDI, Reihe 8, Nr. 661 (in German).
    • (1997) Fortschritt-Berichte VDI
    • Schmitt, G.1
  • 13
    • 0343936675 scopus 로고    scopus 로고
    • Systematische auswertung des matrix-Popov-kriteriums auf der basis von positivitätskurven
    • in German
    • SCHMITT, G., and BENESCH, N., 1996, Systematische Auswertung des Matrix-Popov-Kriteriums auf der Basis von Positivitätskurven. Automatisierungstechnik, 44, 479-486 (in German).
    • (1996) Automatisierungstechnik , vol.44 , pp. 479-486
    • Schmitt, G.1    Benesch, N.2
  • 14
    • 84929080969 scopus 로고    scopus 로고
    • Das hyperstabilitätskurven-verfahren als graphisches frequenzbereichskriterium zur stabilitätsprüfung nichtlinearer mehrgrößenregelkreise
    • in German
    • SCHMITT, G., and GÜNTHER, S., 1996, Das Hyperstabilitätskurven-Verfahren als graphisches Frequenzbereichskriterium zur Stabilitätsprüfung nichtlinearer Mehrgrößenregelkreise. Automatisierungstechnik, 44, 281-288 (in German).
    • (1996) Automatisierungstechnik , vol.44 , pp. 281-288
    • Schmitt, G.1    Günther, S.2
  • 15
    • 0004170285 scopus 로고
    • Englewood Cliffs, New Jersey: Prentice-Hall
    • VIDYASAGAR, M., 1993, Nonlinear Systems (Englewood Cliffs, New Jersey: Prentice-Hall).
    • (1993) Nonlinear Systems
    • Vidyasagar, M.1
  • 16
    • 0024091523 scopus 로고
    • Time domain and frequency domain conditions for strict positive realness
    • WEN, J. T., 1988, Time domain and frequency domain conditions for strict positive realness. IEEE Transactions on Automatic Control, 33, 988-992.
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    • Wen, J.T.1
  • 17
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    • On the input-output stability of time-varying nonlinear feedback systems - Part I: Conditions derived using concepts of loop gain, conicity, and positivity
    • ZAMES, G., 1966a, On the input-output stability of time-varying nonlinear feedback systems - Part I: conditions derived using concepts of loop gain, conicity, and positivity. IEEE Transactions on Automatic Control, 11, 228-238.
    • (1966) IEEE Transactions on Automatic Control , vol.11 , pp. 228-238
    • Zames, G.1
  • 18
    • 84913458365 scopus 로고
    • On the input-output stability of time-varying nonlinear feedback systems - Part II: Involving circles in the frequency plane and sector nonlinearities
    • ZAMES, G., 1966 b, On the input-output stability of time-varying nonlinear feedback systems - Part II: involving circles in the frequency plane and sector nonlinearities. IEEE Transactions on Automatic Control, 11, 465-476.
    • (1966) IEEE Transactions on Automatic Control , vol.11 , pp. 465-476
    • Zames, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.