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Volumn 64, Issue 5, 1996, Pages 789-806

Generalized mixed-μ bounds for real and complex multiple-block uncertainty with internal matrix structure

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FREQUENCY DOMAIN ANALYSIS; MATRIX ALGEBRA; PROBABILITY; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; SYSTEM STABILITY;

EID: 0030196635     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179608921657     Document Type: Article
Times cited : (20)

References (26)
  • 2
    • 0242460178 scopus 로고
    • Algebraic structure of generalized positive real matrices
    • Anderson, B. D. O., and Moore, J. B., 1968, Algebraic structure of generalized positive real matrices. SIAM Journal on Control, 6, 615-624.
    • (1968) SIAM Journal on Control , vol.6 , pp. 615-624
    • Anderson, B.D.O.1    Moore, J.B.2
  • 3
    • 0029342069 scopus 로고
    • A Popov criterion for uncertain linear multivariable systems
    • Bernstein, D. S., Haddad, W. M., and Sparks, A. G., 1995, A Popov criterion for uncertain linear multivariable systems. Automatica, 31, 1061-1064.
    • (1995) Automatica , vol.31 , pp. 1061-1064
    • Bernstein, D.S.1    Haddad, W.M.2    Sparks, A.G.3
  • 8
    • 0025747144 scopus 로고
    • Robustness in the presence of mixed parametric uncertainty and unmodelled dynamics
    • Fan, M. K. H., Tits, A. L., and Doyle, J. C., 1991, Robustness in the presence of mixed parametric uncertainty and unmodelled dynamics. IEEE Transactions on Automatic Control, 36, 25-38.
    • (1991) IEEE Transactions on Automatic Control , vol.36 , pp. 25-38
    • Fan, M.K.H.1    Tits, A.L.2    Doyle, J.C.3
  • 10
    • 0010734077 scopus 로고
    • Etensions of mixed-/* bounds to monotonic and odd monotonic nonlinearities using absolute stabi lity theory.
    • Tucson, Arizona, U.S.A., 1994, Extensions of mixed-/* bounds to monotonic and odd monotonic nonlinearities using absolute stability theory. International Journal of Control, 60, 905-951
    • Haddad, W. M., How, J. P., Hall, S. R., and Bernstein, D. S., 1992, Etensions of mixed-/* bounds to monotonic and odd monotonic nonlinearities using absolute stabi lity theory. Proceedings of the IEEE Conference on Decision and Control, Tucson, Arizona, U.S.A., pp. 2813-2823; 1994, Extensions of mixed-/* bounds to monotonic and odd monotonic nonlinearities using absolute stability theory. International Journal of Control, 60, 905-951.
    • (1992) Proceedings of the IEEE Conference on Decision and Control , pp. 2813-2823
    • Haddad, W.M.1    How, J.P.2    Hall, S.R.3    Bernstein, D.S.4
  • 11
    • 0027834861 scopus 로고
    • Connections between the Popov stability criterion and bounds for real parametric uncertainty.
    • San Francisco, California, U.S.A
    • How, J. P., and Hall, S. R., 1993, Connections between the Popov stability criterion and bounds for real parametric uncertainty. Proc. American Control Conference, San Francisco, California, U.S.A., pp. 1084-1089.
    • (1993) Proc. American Control Conference , pp. 1084-1089
    • How, J.P.1    Hall, S.R.2
  • 12
    • 0004906198 scopus 로고
    • Linear fractional transformations for the approximation of various uncertainty sets
    • edited by S. Bhattacharyya and L. Keel (CRC Press)
    • Lee, L., and Tits, A. L., 1991, Linear fractional transformations for the approximation of various uncertainty sets, in Control of Uncertain Dynamic Systems, edited by S. Bhattacharyya and L. Keel (CRC Press), pp. 53-62.
    • (1991) Control of Uncertain Dynamic Systems , pp. 53-62
    • Lee, L.1    Tits, A.L.2
  • 14
    • 0027591532 scopus 로고
    • Necessary and sufficient conditions of stability: A multiloop generalization of the circle criterion
    • Megretski, A., 1993, Necessary and sufficient conditions of stability: a multiloop generalization of the circle criterion. IEEE Transactions on Automatic Control, 38, 753-756.
    • (1993) IEEE Transactions on Automatic Control , vol.38 , pp. 753-756
    • Megretski, A.1
  • 15
    • 0011744158 scopus 로고
    • Stability of a class of differential equations with a single monotone nonlinearity
    • Narendra, K. S., and Neuman, C. P., 1966, Stability of a class of differential equations with a single monotone nonlinearity. SIAM Journal on Control, 4, 295-308.
    • (1966) SIAM Journal on Control , vol.4 , pp. 295-308
    • Narendra, K.S.1    Neuman, C.P.2
  • 17
    • 0027205718 scopus 로고
    • The complex structured singular value
    • Packard, A., and Doyle, J. C., 1993, The complex structured singular value. Automatica, 29, 71-109.
    • (1993) Automatica , vol.29 , pp. 71-109
    • Packard, A.1    Doyle, J.C.2
  • 18
    • 0001328414 scopus 로고
    • Absolute stability of nonlinear systems of automatic control.
    • 1973, Hyperstability of Control Systems (New York: Springer-Verlag)
    • Popov, V. M., 1962, Absolute stability of nonlinear systems of automatic control. Automation and Remote Control, 22, 857-875; 1973, Hyperstability of Control Systems (New York: Springer-Verlag).
    • (1962) Automation and Remote Control , vol.22 , pp. 857-875
    • Popov, V.M.1
  • 19
    • 84992421609 scopus 로고
    • Real/Complex ^-synthesis without curve fitting.
    • Safonov, M. G., and Chiang, R. Y., 1993, Real/Complex ^-synthesis without curve fitting. Control and Dynamic Systems, 56, Part 2, 303-324.
    • (1993) Control and Dynamic Systems , vol.56 , pp. 303-324
    • Safonov, M.G.1    Chiang, R.Y.2
  • 24
    • 0013305199 scopus 로고
    • The method of matrix inequalities in the theory of the stability of nonlinear systems, II: Absolute stability in a class of nonlinearities with a condition on the derivative.
    • 1965 b, Frequency conditions for the absolute stability and dissipativity of control systems with a single differentiable nonlinearity. Soviet Mathematics, 6, 98-101
    • Yakubovitch, V. A., 1965a, The method of matrix inequalities in the theory of the stability of nonlinear systems, II: Absolute stability in a class of nonlinearities with a condition on the derivative. Automation and Remote Control, 26, 577-592; 1965 b, Frequency conditions for the absolute stability and dissipativity of control systems with a single differentiable nonlinearity. Soviet Mathematics, 6, 98-101.
    • (1965) Automation and Remote Control , vol.26 , pp. 577-592
    • Yakubovitch, V.A.1
  • 26
    • 0003045204 scopus 로고
    • Stability conditions for systems with monotone and slope-restricted nonlinearities
    • Zames, G., and Falb, P. L., 1968, Stability conditions for systems with monotone and slope-restricted nonlinearities. SIAM Journal on Control and Optimization, 4, 89-108.
    • (1968) SIAM Journal on Control and Optimization , vol.4 , pp. 89-108
    • Zames, G.1    Falb, P.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.