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Volumn 43, Issue 3, 1998, Pages 442-445

Diagonal matrix solutions of a discrete-time Lyapunov inequality

Author keywords

Companion matrix; Critical exponent; Diagonal stability; Discrete lyapunov equation

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; SYSTEM STABILITY;

EID: 0032027815     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.661620     Document Type: Article
Times cited : (11)

References (9)
  • 2
    • 0026940627 scopus 로고
    • On finite precision Lyapunov functions for companion matrices
    • P. A. Regalia, "On finite precision Lyapunov functions for companion matrices," IEEE Trans. Automat. Contr., vol. 37, pp. 1640-1644, 1992.
    • (1992) IEEE Trans. Automat. Contr. , vol.37 , pp. 1640-1644
    • Regalia, P.A.1
  • 3
    • 0019689365 scopus 로고
    • Explicit solutions of discrete-time Lyapunov matrix equations and Kalman-Yakubovich equations
    • R. R. Bitmead, "Explicit solutions of discrete-time Lyapunov matrix equations and Kalman-Yakubovich equations," IEEE Trans. Automat. Contr., vol. AC-26, pp. 1291-1294, 1981.
    • (1981) IEEE Trans. Automat. Contr. , vol.AC-26 , pp. 1291-1294
    • Bitmead, R.R.1
  • 4
    • 0029640096 scopus 로고
    • On solving the Lyapunov and Stein equations for a companion matrix
    • A. Betser, N. Cohen, and E. Zeheb, "On solving the Lyapunov and Stein equations for a companion matrix," Syst. Contr. Lett., vol. 25, pp. 211-218, 1995.
    • (1995) Syst. Contr. Lett. , vol.25 , pp. 211-218
    • Betser, A.1    Cohen, N.2    Zeheb, E.3
  • 5
    • 0039123490 scopus 로고
    • Linear matrix equations the module theoretic approach
    • H. K. Wimmer, "Linear matrix equations The module theoretic approach," Linear Algebra Appl., vol. 120, pp. 149-164. 1989.
    • (1989) Linear Algebra Appl. , vol.120 , pp. 149-164
    • Wimmer, H.K.1
  • 6
    • 24544446187 scopus 로고
    • Norms, spectral and combinatorial properties of matrices
    • J. Marik and V. Pták, "Norms, spectral and combinatorial properties of matrices," Czechoslovak. Math. J., vol. 10, pp. 181-196, 1960.
    • (1960) Czechoslovak. Math. J. , vol.10 , pp. 181-196
    • Marik, J.1    Pták, V.2
  • 7
    • 84963449422 scopus 로고
    • Positive diagonal solutions to the Lyapunov equations
    • G. P. Barker, A. Berman, and R. J. Plemmons, "Positive diagonal solutions to the Lyapunov equations," Linear Multilin. Algebra, vol. 5, pp. 249-256, 1978.
    • (1978) Linear Multilin. Algebra , vol.5 , pp. 249-256
    • Barker, G.P.1    Berman, A.2    Plemmons, R.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.