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Volumn 318, Issue 1-3, 2000, Pages 23-33

A characterization of convex cones of matrices with constant regular inertia

Author keywords

Constant inertia; Convex and polygonal cones; Convex invertible cones; Stability

Indexed keywords


EID: 0034358204     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00126-9     Document Type: Article
Times cited : (7)

References (18)
  • 1
    • 0027576582 scopus 로고
    • A necessary and sufficient criterion for the stability of a convex set of matrices
    • N. Cohen, I. Lewkowicz, A necessary and sufficient criterion for the stability of a convex set of matrices, IEEE Trans. Autom. Control AC-38 (4) (1993) 611-615.
    • (1993) IEEE Trans. Autom. Control , vol.AC-38 , Issue.4 , pp. 611-615
    • Cohen, N.1    Lewkowicz, I.2
  • 2
    • 0031542692 scopus 로고    scopus 로고
    • Convex invertible cones and the Lyapunov equation
    • Cohen N., Lewkowicz I. Convex invertible cones and the Lyapunov equation. Linear Algebra Appl. 250:1997;105-131.
    • (1997) Linear Algebra Appl. , vol.250 , pp. 105-131
    • Cohen, N.1    Lewkowicz, I.2
  • 3
    • 0031335395 scopus 로고    scopus 로고
    • Convex invertible cones of state space systems
    • Cohen N., Lewkowicz I. Convex invertible cones of state space systems. Math. Control Signals Syst. 10:1997;265-285.
    • (1997) Math. Control Signals Syst. , vol.10 , pp. 265-285
    • Cohen, N.1    Lewkowicz, I.2
  • 4
    • 22444454607 scopus 로고    scopus 로고
    • Convex combinations of matrices - Nonsingularity and Schur stability characterization
    • Elsner L., Szulc T. Convex combinations of matrices - nonsingularity and Schur stability characterization. Linear and Multilinear Algebra. 44:1998;301-312.
    • (1998) Linear and Multilinear Algebra , vol.44 , pp. 301-312
    • Elsner, L.1    Szulc, T.2
  • 5
    • 17444443385 scopus 로고    scopus 로고
    • On cones and stability
    • Hershkowitz D. On cones and stability. Linear Algebra Appl. 275-276:1998;249-259.
    • (1998) Linear Algebra Appl. , vol.275-276 , pp. 249-259
    • Hershkowitz, D.1
  • 7
    • 0026854467 scopus 로고
    • The extreme eigenvalue and stability of real symmetric interval matrices
    • D. Hertz, The extreme eigenvalue and stability of real symmetric interval matrices, IEEE Trans. Autom. Control 35 (4) (1992) 532-535.
    • (1992) IEEE Trans. Autom. Control , vol.35 , Issue.4 , pp. 532-535
    • Hertz, D.1
  • 10
    • 0016883749 scopus 로고
    • A local Lyapunov theorem and the stability of sums
    • Johnson C.R. A local Lyapunov theorem and the stability of sums. Linear Algebra Appl. 13:1976;37-43.
    • (1976) Linear Algebra Appl. , vol.13 , pp. 37-43
    • Johnson, C.R.1
  • 11
  • 12
    • 0033479101 scopus 로고    scopus 로고
    • Convex combination of matrices - Full rank characterization
    • Kolodziejczak B., Szulc T. Convex combination of matrices - full rank characterization. Linear Algebra Appl. 287:1999;215-222.
    • (1999) Linear Algebra Appl. , vol.287 , pp. 215-222
    • Kolodziejczak, B.1    Szulc, T.2
  • 13
    • 0007291438 scopus 로고    scopus 로고
    • Convex invertible cones of matrices - A unified framework for the equations of Sylvester, Lyapunov and Riccati
    • Lewkowicz I. Convex invertible cones of matrices - a unified framework for the equations of Sylvester, Lyapunov and Riccati. Linear Algebra Appl. 286:1999;107-133.
    • (1999) Linear Algebra Appl. , vol.286 , pp. 107-133
    • Lewkowicz, I.1
  • 14
    • 0027798081 scopus 로고
    • Several NP-hard problems arising in robust stability analysis
    • Nemirovskii A. Several NP-hard problems arising in robust stability analysis. Math. Control Signals Syst. 6:1993;99-105.
    • (1993) Math. Control Signals Syst. , vol.6 , pp. 99-105
    • Nemirovskii, A.1
  • 15
  • 16
    • 0026940535 scopus 로고
    • Stability of interval matrices: The real eigenvalue case
    • Rohn J. Stability of interval matrices: the real eigenvalue case. IEEE Trans. Autom. Control AC. AC-37(10):1992;1066-1604.
    • (1992) IEEE Trans. Autom. Control AC , vol.37 , Issue.10 , pp. 1066-1604
    • Rohn, J.1
  • 17
    • 0030651078 scopus 로고    scopus 로고
    • The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - When not impossible to compute and to approximate
    • Tsitsiklis J.N., Blondel V.D. The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible to compute and to approximate. Math. Control Signals Syst. 10:1997;31-40.
    • (1997) Math. Control Signals Syst. , vol.10 , pp. 31-40
    • Tsitsiklis, J.N.1    Blondel, V.D.2
  • 18
    • 0028446905 scopus 로고
    • Necessary and sufficient condition for the Hurwitz and Schur stability of interval matrices
    • Wang K., Michel A.N., Liu D. Necessary and sufficient condition for the Hurwitz and Schur stability of interval matrices. IEEE Trans. Autom. Control. 39(6):1994;1251-1255.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.6 , pp. 1251-1255
    • Wang, K.1    Michel, A.N.2    Liu, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.