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Volumn 53, Issue 4, 1991, Pages 907-927

Simple robust stability tests for polynomials with real parameter uncertainty

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS - ROBUSTNESS; SYSTEM STABILITY;

EID: 0026140301     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179108953656     Document Type: Article
Times cited : (7)

References (20)
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    • Barmish, B.R.1
  • 3
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    • Robust stability of a class of polynomials with coefficients depending multilinearly on perturbations. Preprint
    • Barmish, B. R., and Shi, Z., 1988, Robust stability of a class of polynomials with coefficients depending multilinearly on perturbations. Preprint.
    • (1988)
    • Barmish, B.R.1    Shi, Z.2
  • 4
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    • Root locations for an entire poly tope of polynomials: it suffices to check the edges. Mathematics of Control
    • Bartlett, A. G, Hollot, C. V., and Huang, L., 1987, Root locations for an entire poly tope of polynomials: it suffices to check the edges. Mathematics of Control, Signals and Systems, 1, 61-71.
    • (1987) Signals and Systems , vol.1 , pp. 61-71
    • Bartlett, A.G.1    Hollot, C.V.2    Huang, L.3
  • 8
    • 18544400673 scopus 로고
    • Characterization of the Hurwitz region for systems with real parameter uncertainty, Atlanta, 1989 a, Parameter partitioning via shaping conditions for the stability of families of polynomials. I.E.E.E. Transactions on Automatic Control, 34, 1205-1209; 1989 b, The stability of a family of polynomials can be deduced from a finite number 0(/c3) of frequency checks. Proceedings of the American Control Conference., 34, 982-986; 1989 c, Shaping conditions and the stability of systems with parameter uncertainty. Robustness in Identification and Control, edited by M. Milanese, R. Tempo and A. Vicino (New York: Plenum)
    • Djaferis, T. E., and Hollot, C. V., 1988, Characterization of the Hurwitz region for systems with real parameter uncertainty. Proceedings of the American Control Conference, Atlanta, pp. 2465-2470; 1989 a, Parameter partitioning via shaping conditions for the stability of families of polynomials. I.E.E.E. Transactions on Automatic Control, 34, 1205-1209; 1989 b, The stability of a family of polynomials can be deduced from a finite number 0(/c3) of frequency checks. Proceedings of the American Control Conference., 34, 982-986; 1989 c, Shaping conditions and the stability of systems with parameter uncertainty. Robustness in Identification and Control, edited by M. Milanese, R. Tempo and A. Vicino (New York: Plenum)
    • (1988) Proceedings of the American Control Conference , pp. 2465-2470
    • Djaferis, T.E.1    Hollot, C.V.2
  • 9
    • 0011239792 scopus 로고
    • Polytopes of polynomials with zeros in a prescribed region: new criteria and algorithms, edited by M. Milanese, R. Tempo and A. Vicino (New York: Plenum)
    • Fu, M., 1989, Polytopes of polynomials with zeros in a prescribed region: new criteria and algorithms. Robustness in Identification and Control, edited by M. Milanese, R. Tempo and A. Vicino (New York: Plenum), pp. 125-146.
    • (1989) Robustness in Identification and Control , pp. 125-146
    • Fu, M.1
  • 10
    • 0024082715 scopus 로고
    • Maximal unidirectional perturbation bounds for stability of polynomials and matrices
    • Fu, M., and Barmish, B. R., 1988, Maximal unidirectional perturbation bounds for stability of polynomials and matrices. Systems and Control Letters, 11, 173-180.
    • (1988) Systems and Control Letters , vol.11 , pp. 173-180
    • Fu, M.1    Barmish, B.R.2
  • 12
    • 0003805590 scopus 로고
    • San Fransisco,.Ealif.: Freeman
    • Jacobson, N., 1974, Basic Algebra (San Fransisco,.Ealif.: Freeman).
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    • Jacobson, N.1
  • 13
    • 0001725231 scopus 로고
    • Asymptotic stability of an equilibrium position of a family of systems of linear differential equations
    • Kharitonov, V. L., 1978, Asymptotic stability of an equilibrium position of a family of systems of linear differential equations. DifferentsiaVnye Uravneniya, 14, 2086-2088.
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    • Kharitonov, V.L.1
  • 14
    • 0023345359 scopus 로고
    • Smallest destabilising perturbations for linear systems
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  • 18
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  • 20
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    • Zhou, K. M., and Khargonekar, P. P., 1987, Stability robustness bounds for linear state space models with structured uncertainty. I.E.E.E. Transactions on Automatic Control, 32, 621-623.
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    • Zhou, K.M.1    Khargonekar, P.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.