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Volumn 37, Issue 1, 1990, Pages 47-53

Necessary and Sufficient Conditions for Robust Stability of a Continuous System— the Continuous Dependency Case Illustrated Via Multilinear Dependency

Author keywords

[No Author keywords available]

Indexed keywords

SYSTEM STABILITY;

EID: 0025235770     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.45690     Document Type: Article
Times cited : (32)

References (37)
  • 1
    • 0001725233 scopus 로고
    • Asymptotic stability of an equilibrium position of a family of systems of linear differential equations
    • V. L. Kharitonov, “Asymptotic stability of an equilibrium position of a family of systems of linear differential equations,” Differential Equations, vol. 14, pp. 1483–1485, 1979.
    • (1979) Differential Equations , vol.14 , pp. 1483-1485
    • Kharitonov, V.L.1
  • 2
    • 0020542184 scopus 로고
    • Strictly Hurwitz property invariance of quartics under coefficient perturbation
    • J. P. Guiver and N. K. Bose, “Strictly Hurwitz property invariance of quartics under coefficient perturbation,” IEEE Trans. Automat. Contr., vol. AC-28, pp. 106–107, 1983.
    • (1983) IEEE Trans. Automat. Contr. , vol.AC-28 , pp. 106-107
    • Guiver, J.P.1    Bose, N.K.2
  • 3
    • 0021512765 scopus 로고
    • Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
    • B. R. Barmish, “Invariance of the strict Hurwitz property for polynomials with perturbed coefficients,” IEEE Trans. Automat. Contr., vol. AC-29, pp. 935–937, 1984.
    • (1984) IEEE Trans. Automat. Contr. , vol.AC-29 , pp. 935-937
    • Barmish, B.R.1
  • 4
    • 0009403686 scopus 로고
    • A system-theoretic approach to stability of sets of polynomials
    • N. K. Bose, “A system-theoretic approach to stability of sets of polynomials,” Contemp. Math., vol. 47, pp. 25–34, 1985.
    • (1985) Contemp. Math. , vol.47 , pp. 25-34
    • Bose, N.K.1
  • 5
    • 0022205833 scopus 로고
    • A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
    • Tech. Sci.
    • S. Bialas, “A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices,” Bull. Polish Academy of Sciences, Tech. Sci., vol. 33, no. 9–10, pp. 473–480, 1985.
    • (1985) Bull. Polish Academy of Sciences , vol.33 , Issue.9-10 , pp. 473-480
    • Bialas, S.1
  • 6
    • 0022026964 scopus 로고
    • Stability of polynomials under coefficient perturbation
    • S. Bialas and J. Garloff, “Stability of polynomials under coefficient perturbation,” IEEE Trans. Automat. Contr., vol. AC-30, pp. 310–312, 1985.
    • (1985) IEEE Trans. Automat. Contr. , vol.AC-30 , pp. 310-312
    • Bialas, S.1    Garloff, J.2
  • 7
    • 0022135397 scopus 로고
    • On the stability properties of polynomials with perturbed coefficients
    • C. B. Soh, C. S. Berger, and K. P. Dabke, “On the stability properties of polynomials with perturbed coefficients,” IEEE Trans. Automat. Contr., vol. AC-30, pp. 1033–1035, 1985.
    • (1985) IEEE Trans. Automat. Contr. , vol.AC-30 , pp. 1033-1035
    • Soh, C.B.1    Berger, C.S.2    Dabke, K.P.3
  • 8
    • 0022767965 scopus 로고
    • Kharitonov's theorem and stability test of multidimensional digital filters
    • pt. G
    • N. K. Bose and E. Zeheb, “Kharitonov's theorem and stability test of multidimensional digital filters,” Proc. Inst. Elect. Eng., vol. 133, pt. G, pp. 187–190, 1986.
    • (1986) Proc. Inst. Elect. Eng. , vol.133 , pp. 187-190
    • Bose, N.K.1    Zeheb, E.2
  • 9
    • 0023017088 scopus 로고
    • On robust Hurwitz and Schur polynomials
    • Athens, Greece Dec.
    • N. K. Bose, E. I. Jury and E. Zeheb, “On robust Hurwitz and Schur polynomials,” in Proc. 25th CDC, Athens, Greece, pp. 739–744, Dec. 1986.
    • (1986) Proc. 25th CDC , pp. 739-744
    • Bose, N.K.1    Jury, E.I.2    Zeheb, E.3
  • 10
    • 0022702897 scopus 로고
    • Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems
    • C. V. Hollot and A. C. Bartlett, “Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems,” IEEE Trans. Automat. Contr., vol. AC-31, pp. 355–356, 1986.
    • (1986) IEEE Trans. Automat. Contr. , vol.AC-31 , pp. 355-356
    • Hollot, C.V.1    Bartlett, A.C.2
  • 11
    • 0023859609 scopus 로고
    • Root locations of an entire polytope of polynomials: It suffices to check the edges
    • also in Proc. ACC'87.
    • A. C. Bartlett, C. V. Hollot, and L. Huang, “Root locations of an entire polytope of polynomials: It suffices to check the edges,” in Mathematics of Control Signals and Systems, vol. 1, pp. 61–71, 1988; also in Proc. ACC'87.
    • (1988) Mathematics of Control Signals and Systems , vol.1 , pp. 61-71
    • Bartlett, A.C.1    Hollot, C.V.2    Huang, L.3
  • 12
    • 0010070380 scopus 로고
    • Stability of convex and linear combinations of polynomials and matrices arising in robustness problems
    • Baltimore, MD
    • M. Fu and B. R. Barmish, “Stability of convex and linear combinations of polynomials and matrices arising in robustness problems,” in Proc. Conf. Inform. Sci. Syst., Baltimore, MD, 1987.
    • (1987) Proc. Conf. Inform. Sci. Syst.
    • Fu, M.1    Barmish, B.R.2
  • 13
    • 0023592462 scopus 로고
    • Robust Schur polynomial stability and Kharitonov's theorem
    • Los Angeles, Ca
    • F. Kraus, B. D. O. Anderson, and M. Mansour, “Robust Schur polynomial stability and Kharitonov's theorem,” in Proc. 26th CDC, Los Angeles, Ca, pp. 2088–2095, 1987.
    • (1987) Proc. 26th CDC , pp. 2088-2095
    • Kraus, F.1    Anderson, B.D.O.2    Mansour, M.3
  • 15
    • 0011716651 scopus 로고
    • A new extension to Kharitonov's theorem
    • Los Agneles, CA
    • I. R. Petersen, “A new extension to Kharitonov's theorem,” in Proc. 26th CDC, Los Agneles, CA, 1987.
    • (1987) Proc. 26th CDC
    • Petersen, I.R.1
  • 16
    • 0023592453 scopus 로고
    • The stability of polynomials under correlated coefficient perturbations
    • Los Angeles, Ca
    • M. K. Saridereli and F. J. Kern, “The stability of polynomials under correlated coefficient perturbations,” Proc. 26th CDC, Los Angeles, Ca, 1987.
    • (1987) Proc. 26th CDC
    • Saridereli, M.K.1    Kern, F.J.2
  • 19
    • 0024031896 scopus 로고
    • A necessary and sufficient condition for Schur invariance and generalized stability of poly-topes of polynomials
    • A. C. Bartlett and C. V. Hollot, “A necessary and sufficient condition for Schur invariance and generalized stability of poly-topes of polynomials,” IEEE Trans. Automat. Contr., vol. 33, pp. 575–578, 1988.
    • (1988) IEEE Trans. Automat. Contr. , vol.33 , pp. 575-578
    • Bartlett, A.C.1    Hollot, C.V.2
  • 20
    • 0024014533 scopus 로고
    • Damping margins of polynomials with perturbed coefficients
    • C. B. Soh and C. S. Berger, “Damping margins of polynomials with perturbed coefficients,” IEEE Trans. Automat. Contr., vol. 33, pp. 509–511, 1988.
    • (1988) IEEE Trans. Automat. Contr. , vol.33 , pp. 509-511
    • Soh, C.B.1    Berger, C.S.2
  • 21
    • 0024134697 scopus 로고
    • Polytopes of polynomials with zeros in a prescribed region
    • Atlanta, GA
    • M. Fu and B. R. Barmish, “Polytopes of polynomials with zeros in a prescribed region,” in Proc. ACC, Atlanta, GA, 1988.
    • (1988) Proc. ACC
    • Fu, M.1    Barmish, B.R.2
  • 22
    • 18344408628 scopus 로고
    • A generalization of Kharitonov's four polynomial concept for robust stability problems with linearly dependent coefficient perturbations
    • Atlanta, Ga
    • B. R. Barmish, “A generalization of Kharitonov's four polynomial concept for robust stability problems with linearly dependent coefficient perturbations,” in Proc. ACC, Atlanta, Ga, 1988.
    • (1988) Proc. ACC
    • Barmish, B.R.1
  • 23
    • 0024092302 scopus 로고
    • Robust Schur stability of a polytope of polynomials
    • J. E. Ackermann and B. R. Barmish, “Robust Schur stability of a polytope of polynomials,” IEEE Trans. Automat. Contr., vol. 33, pp. 984–986, 1988.
    • (1988) IEEE Trans. Automat. Contr. , vol.33 , pp. 984-986
    • Ackermann, J.E.1    Barmish, B.R.2
  • 24
    • 70350317988 scopus 로고
    • Boundary implications for stability properties: Present status
    • (R. E. Moore, Ed.), New York: Academic
    • J. Garloff and N. K. Bose, “Boundary implications for stability properties: Present status,” in Reliability in Computing (R. E. Moore, Ed.), New York: Academic, pp. 391–402, 1988.
    • (1988) Reliability in Computing , pp. 391-402
    • Garloff, J.1    Bose, N.K.2
  • 25
    • 0000827282 scopus 로고
    • Robust multivariate scattering Hurwitz interval polynomials
    • N. K. Bose, “Robust multivariate scattering Hurwitz interval polynomials,” Linear Algebra and Its Applications, vol. 98, pp. 123–136, 1988.
    • (1988) Linear Algebra and Its Applications , vol.98 , pp. 123-136
    • Bose, N.K.1
  • 30
    • 0024732189 scopus 로고
    • Necessary and sufficient conditions for root clustering of a polytope of polynomials in a simply connected domain
    • E. Zeheb, “Necessary and sufficient conditions for root clustering of a polytope of polynomials in a simply connected domain,” IEEE Trans. Automat. Contr., vol. 34, 1989.
    • (1989) IEEE Trans. Automat. Contr. , vol.34
    • Zeheb, E.1
  • 31
    • 0012543729 scopus 로고
    • Robust Stabilization Against Structured Perturbations
    • Springer-Verlag
    • S. P. Bhattacharyya, “Robust Stabilization Against Structured Perturbations,” Springer-Verlag, Lecture Notes in Control and Inform. Sci., vol. 99, 1987.
    • (1987) Lecture Notes in Control and Inform. Sci. , vol.99
    • Bhattacharyya, S.P.1
  • 32
    • 0023364604 scopus 로고
    • Robust stability with structured real parameter perturbations
    • R. M. Biernacki, H. Hwang, and S. P. Bhattacharyya, “Robust stability with structured real parameter perturbations,” IEEE Trans. Automat. Contr., vol. AC-32, pp. 495–506, 1987.
    • (1987) IEEE Trans. Automat. Contr. , vol.AC-32 , pp. 495-506
    • Biernacki, R.M.1    Hwang, H.2    Bhattacharyya, S.P.3
  • 33
    • 0023994868 scopus 로고
    • Stability criterion for continuous time system polynomials with uncertain complex coefficients
    • Y. Bistritz, “Stability criterion for continuous time system polynomials with uncertain complex coefficients,” IEEE Trans. Circuits Syst., vol. 35, pp. 442–448, 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 442-448
    • Bistritz, Y.1
  • 34
    • 0019609867 scopus 로고
    • On multivariable half-plane analyticity and positive realness
    • E. Walach and E. Zeheb, “On multivariable half-plane analyticity and positive realness,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 927–930, 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.CAS-28 , pp. 927-930
    • Walach, E.1    Zeheb, E.2
  • 35
    • 0023349120 scopus 로고
    • Root exclusion from complex polydomains and some of its applications
    • D. Hertz, E. I. Jury, and E. Zeheb, “Root exclusion from complex polydomains and some of its applications,” Automatica, vol. 23, pp. 399–404, 1987.
    • (1987) Automatica , vol.23 , pp. 399-404
    • Hertz, D.1    Jury, E.I.2    Zeheb, E.3
  • 36
    • 0019556407 scopus 로고
    • Zero sets of multiparameter functions and stability of multidimensional systems
    • E. Zeheb and E. Walach, “Zero sets of multiparameter functions and stability of multidimensional systems,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 197–206, 1981.
    • (1981) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-29 , pp. 197-206
    • Zeheb, E.1    Walach, E.2
  • 37
    • 0019044210 scopus 로고
    • Sign test of multivariable real polynomials
    • E. Walach and E. Zeheb, “Sign test of multivariable real polynomials,” IEEE Trans. Circuits Syst., vol. 27, pp. 619–625, 1980.
    • (1980) IEEE Trans. Circuits Syst. , vol.27 , pp. 619-625
    • Walach, E.1    Zeheb, E.2


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