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Volumn 44, Issue 5, 1999, Pages 1009-1012

On the spectrum of convex sets of matrices

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); SET THEORY; UNCERTAIN SYSTEMS;

EID: 0032630710     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.763218     Document Type: Article
Times cited : (14)

References (11)
  • 1
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    • Stability of a polytope of matrices: Counterexamples
    • B. R. Barmish, M. Fu, and S. Saleh, "Stability of a polytope of matrices: Counterexamples," IEEE Trans. Automat. Contr., vol. 33, pp. 569-572, 1988.
    • (1988) IEEE Trans. Automat. Contr. , vol.33 , pp. 569-572
    • Barmish, B.R.1    Fu, M.2    Saleh, S.3
  • 2
    • 0014550276 scopus 로고
    • Linear equations and inequalities on finite dimensional real or complex vector spaces: A unified theory
    • A. Ben-Israel, "Linear equations and inequalities on finite dimensional real or complex vector spaces: A unified theory," J. Math. Anal. Appl., no. 27, pp. 367-389, 1969.
    • (1969) J. Math. Anal. Appl. , Issue.27 , pp. 367-389
    • Ben-Israel, A.1
  • 3
    • 0022205833 scopus 로고
    • A necessary and sufficient condition for the stability of convex combinations of stable polynomials and matrices
    • S. Bialas, "A necessary and sufficient condition for the stability of convex combinations of stable polynomials and matrices," Bull. Polish Acad. Sci. Tech. Sci., vol. 33, pp. 473-480, 1985.
    • (1985) Bull. Polish Acad. Sci. Tech. Sci. , vol.33 , pp. 473-480
    • Bialas, S.1
  • 4
    • 0024732504 scopus 로고
    • The minimal dimension of stable faces required to guarantee stability of a matrix polytope
    • J. D. Cobb and C. L. DeMarco, "The minimal dimension of stable faces required to guarantee stability of a matrix polytope," IEEE Trans. Automat. Contr., vol. 34, pp. 990-992, 1989.
    • (1989) IEEE Trans. Automat. Contr. , vol.34 , pp. 990-992
    • Cobb, J.D.1    DeMarco, C.L.2
  • 5
    • 0027576582 scopus 로고
    • A necessary and sufficient criterion for the stability of a convex set of matrices
    • N. Cohen and I. Lewkowicz, "A necessary and sufficient criterion for the stability of a convex set of matrices," IEEE Trans. Automat. Contr., vol. 38, pp. 611-615, 1993.
    • (1993) IEEE Trans. Automat. Contr. , vol.38 , pp. 611-615
    • Cohen, N.1    Lewkowicz, I.2
  • 6
    • 0024082715 scopus 로고
    • Maximal unidirectional perturbation bounds for stability of polynomials and matrices
    • M. Fu and B. R. Barmish, "Maximal unidirectional perturbation bounds for stability of polynomials and matrices," Syst. Contr. Lett., vol. 11, pp. 173-179, 1988.
    • (1988) Syst. Contr. Lett. , vol.11 , pp. 173-179
    • Fu, M.1    Barmish, B.R.2
  • 8
    • 0002835644 scopus 로고
    • Some theorems on the inertia of general matrices
    • A. Ostrowski and H. Schneider, "Some theorems on the inertia of general matrices," J. Math. Anal. Appl., no. 4, pp. 72-84, 1962.
    • (1962) J. Math. Anal. Appl. , Issue.4 , pp. 72-84
    • Ostrowski, A.1    Schneider, H.2
  • 9
    • 0026883753 scopus 로고
    • An approach to robust stability of matrix polytopes trough copositive homogeneous polynomials
    • R. X. Qian and C. L. DeMarco, "An approach to robust stability of matrix polytopes trough copositive homogeneous polynomials," IEEE Trans. Automat. Contr., vol. 37, pp. 848-852, 1992.
    • (1992) IEEE Trans. Automat. Contr. , vol.37 , pp. 848-852
    • Qian, R.X.1    DeMarco, C.L.2
  • 10
    • 0003113960 scopus 로고
    • Systems of linear interval equations
    • J. Rohn, "Systems of linear interval equations," Lin. Alg. Appl., no. 126, pp. 39-78, 1989.
    • (1989) Lin. Alg. Appl. , Issue.126 , pp. 39-78
    • Rohn, J.1
  • 11
    • 0028446905 scopus 로고
    • Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices
    • K. Wang, A. N. Michel, and D. Liu, "Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices," IEEE Trans. Automat. Contr., vol. 39, pp. 1251-1255, 1994.
    • (1994) IEEE Trans. Automat. Contr. , vol.39 , pp. 1251-1255
    • Wang, K.1    Michel, A.N.2    Liu, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.