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Volumn 427, Issue 2-3, 2007, Pages 242-255

New lower solution bounds of the continuous algebraic Riccati matrix equation

Author keywords

Continuous algebraic Riccati equation; Iterative algorithm; Matrix bound

Indexed keywords

ALGORITHMS; ITERATIVE METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; ROBUST CONTROL;

EID: 34648847056     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.07.017     Document Type: Article
Times cited : (19)

References (25)
  • 2
    • 0041588943 scopus 로고    scopus 로고
    • Eigenvalue upper and lower bounds of the solution for the continuous algebraic Riccati equation
    • Lee C.H. Eigenvalue upper and lower bounds of the solution for the continuous algebraic Riccati equation. IEEE Trans. Circuits Systems I 43 (1996) 683-686
    • (1996) IEEE Trans. Circuits Systems I , vol.43 , pp. 683-686
    • Lee, C.H.1
  • 3
    • 0031236039 scopus 로고    scopus 로고
    • Eigenvalue upper bounds of the solution of the continuous Riccati equation
    • Lee C.H. Eigenvalue upper bounds of the solution of the continuous Riccati equation. IEEE Trans. Automat. Control 42 (1997) 1268-1271
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 1268-1271
    • Lee, C.H.1
  • 4
    • 0030392453 scopus 로고    scopus 로고
    • Spectral norm and trace bounds of algebraic matrix Riccati equations
    • Kang T., Kim B.S., and Lee J.G. Spectral norm and trace bounds of algebraic matrix Riccati equations. IEEE Trans. Automat. Control 41 (1996) 1828-1830
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 1828-1830
    • Kang, T.1    Kim, B.S.2    Lee, J.G.3
  • 5
    • 0020633404 scopus 로고
    • A note on eigenvalue bounds in algebraic Riccati equation
    • Karanam V.R. A note on eigenvalue bounds in algebraic Riccati equation. IEEE Trans. Automat. Control 28 (1983) 109-111
    • (1983) IEEE Trans. Automat. Control , vol.28 , pp. 109-111
    • Karanam, V.R.1
  • 6
    • 0026904386 scopus 로고
    • Some bounds of the solution of the algebraic Riccati equation
    • Kim J.H., and Bien Z. Some bounds of the solution of the algebraic Riccati equation. IEEE Trans. Automat. Control 37 (1992) 1209-1210
    • (1992) IEEE Trans. Automat. Control , vol.37 , pp. 1209-1210
    • Kim, J.H.1    Bien, Z.2
  • 7
    • 0028400218 scopus 로고
    • Diverse bounds for the eigenvalues of the continuous algebraic Riccati equation
    • Komaroff N. Diverse bounds for the eigenvalues of the continuous algebraic Riccati equation. IEEE Trans. Automat. Control 39 (1994) 532-534
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 532-534
    • Komaroff, N.1
  • 8
    • 0030173646 scopus 로고    scopus 로고
    • Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results
    • Kwon W.H., Moon Y.S., and Ahn S.C. Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results. Internat. J. Control 64 (1996) 377-389
    • (1996) Internat. J. Control , vol.64 , pp. 377-389
    • Kwon, W.H.1    Moon, Y.S.2    Ahn, S.C.3
  • 9
    • 0000419405 scopus 로고
    • A note on the algebraic matrix Riccati equation
    • Kwon W.H., and Pearson A.E. A note on the algebraic matrix Riccati equation. IEEE Trans. Automat. Control 22 (1977) 143-144
    • (1977) IEEE Trans. Automat. Control , vol.22 , pp. 143-144
    • Kwon, W.H.1    Pearson, A.E.2
  • 10
    • 0030846963 scopus 로고    scopus 로고
    • New results for the bounds of the solution for the continuous Riccati and Lyapunov equations
    • Lee C.H. New results for the bounds of the solution for the continuous Riccati and Lyapunov equations. IEEE Trans. Automat. Control 42 (1997) 118-123
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 118-123
    • Lee, C.H.1
  • 11
    • 0030781908 scopus 로고
    • On the upper and lower bounds of the solution for the continuous Riccati matrix equation
    • Lee C.H. On the upper and lower bounds of the solution for the continuous Riccati matrix equation. Internat. J. Control 66 (1987) 105-118
    • (1987) Internat. J. Control , vol.66 , pp. 105-118
    • Lee, C.H.1
  • 12
    • 0042382883 scopus 로고    scopus 로고
    • Solution bounds of the continuous Riccati matrix equation
    • Lee C.H. Solution bounds of the continuous Riccati matrix equation. IEEE Trans. Automat. Control 48 (2003) 1409-1413
    • (2003) IEEE Trans. Automat. Control , vol.48 , pp. 1409-1413
    • Lee, C.H.1
  • 13
    • 0142168433 scopus 로고    scopus 로고
    • Matrix bounds of the continuous and discrete Riccati equations - a unified approach
    • Lee C.H. Matrix bounds of the continuous and discrete Riccati equations - a unified approach. Internat. J. Control 76 (2003) 635-642
    • (2003) Internat. J. Control , vol.76 , pp. 635-642
    • Lee, C.H.1
  • 14
    • 33244474940 scopus 로고    scopus 로고
    • New upper solution bounds of the continuous algebraic Riccati matrix equation
    • Lee C.H. New upper solution bounds of the continuous algebraic Riccati matrix equation. IEEE Trans. Automat. Control 51 (2006) 330-334
    • (2006) IEEE Trans. Automat. Control , vol.51 , pp. 330-334
    • Lee, C.H.1
  • 15
    • 2542447199 scopus 로고    scopus 로고
    • A unified approach to eigenvalue bounds of the solution of the Riccati equation
    • Lee C.H. A unified approach to eigenvalue bounds of the solution of the Riccati equation. J. Chinese Inst. Engrs. 27 (2004) 431-437
    • (2004) J. Chinese Inst. Engrs. , vol.27 , pp. 431-437
    • Lee, C.H.1
  • 16
    • 0022757579 scopus 로고
    • Trace bounds on the solution of the algebraic Riccati and Lyapunov equations
    • Wang S.D., Kuo T.S., and Hsu C.F. Trace bounds on the solution of the algebraic Riccati and Lyapunov equations. IEEE Trans. Automat. Control 31 (1986) 654-656
    • (1986) IEEE Trans. Automat. Control , vol.31 , pp. 654-656
    • Wang, S.D.1    Kuo, T.S.2    Hsu, C.F.3
  • 17
    • 0018478436 scopus 로고
    • Upper and lower bounds on the solution of the algebraic Riccati and Lyapunov equations
    • Yasuda K., and Hirai K. Upper and lower bounds on the solution of the algebraic Riccati and Lyapunov equations. IEEE Trans. Automat. Control 24 (1979) 483-487
    • (1979) IEEE Trans. Automat. Control , vol.24 , pp. 483-487
    • Yasuda, K.1    Hirai, K.2
  • 18
    • 0022098534 scopus 로고
    • Bounds for the eigenvalues of the solution matrix of the algebraic Riccati equation
    • Yaz E. Bounds for the eigenvalues of the solution matrix of the algebraic Riccati equation. Internat. J. Systems Sci. 16 (1985) 815-820
    • (1985) Internat. J. Systems Sci. , vol.16 , pp. 815-820
    • Yaz, E.1
  • 19
  • 20
    • 0017931403 scopus 로고
    • On norm bounds for algebraic Riccati and Lyapunov equations
    • Patel R.V., and Toda M. On norm bounds for algebraic Riccati and Lyapunov equations. IEEE Trans. Automat. Control 23 (1978) 87-88
    • (1978) IEEE Trans. Automat. Control , vol.23 , pp. 87-88
    • Patel, R.V.1    Toda, M.2
  • 21
    • 0036642648 scopus 로고    scopus 로고
    • Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations
    • Choi H.H., and Kuc T.Y. Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations. Automatica 38 (2002) 1147-1152
    • (2002) Automatica , vol.38 , pp. 1147-1152
    • Choi, H.H.1    Kuc, T.Y.2
  • 22
    • 0022010574 scopus 로고
    • On some bounds in the algebraic Riccati and Lyapunov equations
    • Mori T. On some bounds in the algebraic Riccati and Lyapunov equations. IEEE Trans. Automat. Control 30 (1985) 162-164
    • (1985) IEEE Trans. Automat. Control , vol.30 , pp. 162-164
    • Mori, T.1
  • 24
    • 0021373893 scopus 로고
    • A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
    • Mori T., and Derese I.A. A brief summary of the bounds on the solution of the algebraic matrix equations in control theory. Internat. J. Control 39 (1984) 247-256
    • (1984) Internat. J. Control , vol.39 , pp. 247-256
    • Mori, T.1    Derese, I.A.2
  • 25
    • 84914965022 scopus 로고
    • On an iterative technique for Riccati equation computations
    • Kleinmann D.L. On an iterative technique for Riccati equation computations. IEEE Trans. Automat. Control 13 (1968) 114-115
    • (1968) IEEE Trans. Automat. Control , vol.13 , pp. 114-115
    • Kleinmann, D.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.