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Volumn 20, Issue 3, 1999, Pages 113-125

New solution bounds for the discrete algebraic matrix Riccati equation

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; RICCATI EQUATIONS;

EID: 0032640468     PISSN: 01432087     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1514(199905/06)20:3<113::AID-OCA649>3.0.CO;2-5     Document Type: Article
Times cited : (5)

References (19)
  • 1
    • 0026105534 scopus 로고
    • A state-space approach to orthogonal digital filter
    • Desai, U. B., 'A state-space approach to orthogonal digital filter', IEEE Trans. Circuits Systems, 38, 160-169 (1991).
    • (1991) IEEE Trans. Circuits Systems , vol.38 , pp. 160-169
    • Desai, U.B.1
  • 2
    • 0026172032 scopus 로고
    • A novel approach to the synthesis of recursive digital filters with linear phase
    • Gu, G. and B. D. Shenoi, 'A novel approach to the synthesis of recursive digital filters with linear phase', IEEE Trans. Circuits Systems, 38, 602-612 (1991).
    • (1991) IEEE Trans. Circuits Systems , vol.38 , pp. 602-612
    • Gu, G.1    Shenoi, B.D.2
  • 3
    • 0021373893 scopus 로고
    • A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
    • Mori, T. and I. A. Desere, 'A brief summary of the bounds on the solution of the algebraic matrix equations in control theory', Int. J. Control, 39, 247-256 (1984).
    • (1984) Int. J. Control , vol.39 , pp. 247-256
    • Mori, T.1    Desere, I.A.2
  • 4
    • 0027668155 scopus 로고
    • A new approach for the robust stability of perturbed systems with a class of non-commensurate time delays
    • Lee, C. H., T.-H. S. Li and F. C. Kung, 'A new approach for the robust stability of perturbed systems with a class of non-commensurate time delays', IEEE Trans. Circuits Systems, 40, 605-608 (1993).
    • (1993) IEEE Trans. Circuits Systems , vol.40 , pp. 605-608
    • Lee, C.H.1    Li, T.-H.S.2    Kung, F.C.3
  • 5
    • 0015206454 scopus 로고
    • Least square stationary optimal control and the algebraic riccati equation
    • Willems, J. C., 'Least square stationary optimal control and the algebraic Riccati equation', IEEE Trans. Automat. Control, 16, 621-634 (1974).
    • (1974) IEEE Trans. Automat. Control , vol.16 , pp. 621-634
    • Willems, J.C.1
  • 6
    • 0022663313 scopus 로고
    • Bounds for the eigenvalues of the solution of discrete Riccati and Lyapunov equations and the continuous Lyapunov equation
    • Garloff, J., 'Bounds for the eigenvalues of the solution of discrete Riccati and Lyapunov equations and the continuous Lyapunov equation', Int. J. Control, 43, 423-431 (1986).
    • (1986) Int. J. Control , vol.43 , pp. 423-431
    • Garloff, J.1
  • 7
    • 0026927361 scopus 로고
    • Upper bounds for the solution of the discrete Riccati equation
    • Komaroff, A., 'Upper bounds for the solution of the discrete Riccati equation', IEEE Trans. Automat. Control, 37, 1370-1373 (1992).
    • (1992) IEEE Trans. Automat. Control , vol.37 , pp. 1370-1373
    • Komaroff, A.1
  • 8
    • 0000419405 scopus 로고
    • A note on the algebraic Riccati and Lyapunov equations
    • Kwon, W. H. and A. E. Pearson, 'A note on the algebraic Riccati and Lyapunov equations', IEEE Trans. Automat. Control, 22, 143-144 (1978).
    • (1978) IEEE Trans. Automat. Control , vol.22 , pp. 143-144
    • Kwon, W.H.1    Pearson, A.E.2
  • 9
    • 0022147869 scopus 로고
    • On bounds of the Riccati and Lyapunov equation
    • Kwon, B. H., M. J. Youn, and Z. Bien, 'On bounds of the Riccati and Lyapunov equation', IEEE Trans. Automat. Control, 30, 1134-1135 (1985).
    • (1985) IEEE Trans. Automat. Control , vol.30 , pp. 1134-1135
    • Kwon, B.H.1    Youn, M.J.2    Bien, Z.3
  • 10
    • 0018478436 scopus 로고
    • Upper and lower bounds on the solution of the algebraic Riccati equation
    • Yasuda, K. and K. Hirai, 'Upper and lower bounds on the solution of the algebraic Riccati equation', IEEE Trans. Automat. Control, 24, 483-487 (1979).
    • (1979) IEEE Trans. Automat. Control , vol.24 , pp. 483-487
    • Yasuda, K.1    Hirai, K.2
  • 11
    • 0027541030 scopus 로고
    • Lower bounds for the solution of the discrete algebraic Riccati equation
    • Kim, S. W., P.-G. Park and W. H. Kwon, 'Lower bounds for the solution of the discrete algebraic Riccati equation', IEEE Trans. Automat. Control, 38, 312-314 (1993).
    • (1993) IEEE Trans. Automat. Control , vol.38 , pp. 312-314
    • Kim, S.W.1    Park, P.-G.2    Kwon, W.H.3
  • 12
    • 0026885001 scopus 로고
    • Lower summation bounds for the discrete Riccati and Lyapunov equations
    • Komaroff, A. and B. Shahian, 'Lower summation bounds for the discrete Riccati and Lyapunov equations', IEEE Trans. Automat. Control, 37, 1078-1080 (1992).
    • (1992) IEEE Trans. Automat. Control , vol.37 , pp. 1078-1080
    • Komaroff, A.1    Shahian, B.2
  • 14
    • 0017931403 scopus 로고
    • On norm bounds for algebraic Riccati and Lyapunov equation
    • Patel, R. V. and M. Toda, 'On norm bounds for algebraic Riccati and Lyapunov equation', IEEE Trans. Automat. Control, 23, 87-88 (1978).
    • (1978) IEEE Trans. Automat. Control , vol.23 , pp. 87-88
    • Patel, R.V.1    Toda, M.2
  • 15
    • 84950962048 scopus 로고
    • Extreme properties of eigenvalues of a Hermitian transformation and singular values of the sum and product of linear transformation
    • Amir-Moez, A. R., 'Extreme properties of eigenvalues of a Hermitian transformation and singular values of the sum and product of linear transformation', Duke Math. J., 23, 463-476 (1956).
    • (1956) Duke Math. J. , vol.23 , pp. 463-476
    • Amir-Moez, A.R.1
  • 17
    • 0028493597 scopus 로고
    • Iterative matrix bounds and computational solutions to the discrete algebraic Riccatti equation
    • Komaroff, A., 'Iterative matrix bounds and computational solutions to the discrete algebraic Riccatti equation', IEEE Trans. Automat. Control, 39, 1676-1678 (1994).
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 1676-1678
    • Komaroff, A.1
  • 18
    • 0030144629 scopus 로고    scopus 로고
    • On the matrix bounds for the solution matrix of the discrete algebraic Riccati equation
    • Lee, C. H., 'On the matrix bounds for the solution matrix of the discrete algebraic Riccati equation', IEEE Trans. Circuits Systems, 43, 402-407 (1996).
    • (1996) IEEE Trans. Circuits Systems , vol.43 , pp. 402-407
    • Lee, C.H.1
  • 19
    • 0000142609 scopus 로고
    • Inequalities between the two kinds of eigenvalues of linear transformation
    • Weyl, H., 'Inequalities between the two kinds of eigenvalues of linear transformation', Proc. Nat. Acad. Sci., 35, 408-411 (1949).
    • (1949) Proc. Nat. Acad. Sci. , vol.35 , pp. 408-411
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.