메뉴 건너뛰기




Volumn 402, Issue 1-3, 2005, Pages 345-366

An explicit solution to the matrix equation AX - XF = by

Author keywords

Controllability matrices; Explicit freedom; General solutions; Hankel matrices; Sylvester matrix equations

Indexed keywords

CONTROL SYSTEMS; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; LINEAR EQUATIONS; LYAPUNOV METHODS; PROBLEM SOLVING;

EID: 17744390556     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.01.018     Document Type: Article
Times cited : (108)

References (15)
  • 1
    • 0039629868 scopus 로고    scopus 로고
    • Minimum norm pole assignment via Sylvester's equation
    • Linear Algebra and Its Role in Systems Theory
    • L.H. Keel, J.A. Fleming, S.P. Bhattacharyya, Minimum norm pole assignment via Sylvester's equation, in: Linear Algebra and Its Role in Systems Theory, AMS Contemporary Mathematics, vol. 47, pp. 265-272
    • AMS Contemporary Mathematics , vol.47 , pp. 265-272
    • Keel, L.H.1    Fleming, J.A.2    Bhattacharyya, S.P.3
  • 3
    • 0023401699 scopus 로고
    • A complete analytical solution to the equation TA - FT = LC and its applications
    • C.C. Tsui A complete analytical solution to the equation TA - FT = LC and its applications IEEE Trans. Automat. Control AC-32 1987 742 744
    • (1987) IEEE Trans. Automat. Control , vol.AC-32 , pp. 742-744
    • Tsui, C.C.1
  • 4
    • 0026866001 scopus 로고
    • Solution to matrix equation AV + BW = EVF and eigenstructure assignment for descriptor systems
    • G.R. Duan Solution to matrix equation AV + BW = EVF and eigenstructure assignment for descriptor systems Automatica 28 3 1992 639 643
    • (1992) Automatica , vol.28 , Issue.3 , pp. 639-643
    • Duan, G.R.1
  • 5
    • 0027541257 scopus 로고
    • Solutions to matrix equation AV + BW = VF and their application to eigenstructure assignment in linear systems
    • G.R. Duan Solutions to matrix equation AV + BW = VF and their application to eigenstructure assignment in linear systems IEEE Trans. Automat. Control AC-38 2 1993 276 280
    • (1993) IEEE Trans. Automat. Control , vol.AC-38 , Issue.2 , pp. 276-280
    • Duan, G.R.1
  • 6
    • 0030127984 scopus 로고    scopus 로고
    • On the solution to Sylvester matrix equation AV + BW = EVF
    • G.R. Duan On the solution to Sylvester matrix equation AV + BW = EVF IEEE Trans. Automat. Control AC-41 4 1996 612 614
    • (1996) IEEE Trans. Automat. Control , vol.AC-41 , Issue.4 , pp. 612-614
    • Duan, G.R.1
  • 8
    • 0012031958 scopus 로고
    • Nonsingular solutions of TA - BT = C
    • J.Z. Hearon Nonsingular solutions of TA - BT = C Linear Algebra Appl. 16 1977 57 63
    • (1977) Linear Algebra Appl. , vol.16 , pp. 57-63
    • Hearon, J.Z.1
  • 9
    • 0026255525 scopus 로고
    • Solutions to Lyapunov equation with system matrix in companion form
    • V. Sreeram Solutions to Lyapunov equation with system matrix in companion form IEEE Proc. D 138 1991 529 534
    • (1991) IEEE Proc. D , vol.138 , pp. 529-534
    • Sreeram, V.1
  • 10
    • 0029204455 scopus 로고
    • Numerically reliable computation of characteristic polynomials
    • P. Misra, E. Quintana, and P.M. Van Dooren Numerically reliable computation of characteristic polynomials Amer. Control Conf. 6 1995 4025 4029
    • (1995) Amer. Control Conf. , vol.6 , pp. 4025-4029
    • Misra, P.1    Quintana, E.2    Van Dooren, P.M.3
  • 12
    • 0040773836 scopus 로고
    • Solutions of the equation AX + XB = C by inverse of an M × M or N × N matrix
    • A. Jameson Solutions of the equation AX + XB = C by inverse of an M × M or N × N matrix SIAM J. Appl. Math. 16 5 1968 1021 1022
    • (1968) SIAM J. Appl. Math. , vol.16 , Issue.5 , pp. 1021-1022
    • Jameson, A.1
  • 13
    • 0000875808 scopus 로고
    • Controllability, observability and the solution of AX - XB = C
    • E.D. Souza Controllability, observability and the solution of AX - XB = C Linear Algebra Appl. 39 1981 167 188
    • (1981) Linear Algebra Appl. , vol.39 , pp. 167-188
    • Souza, E.D.1
  • 14
    • 0015368704 scopus 로고
    • Resultants and the solution of AX - XB = C
    • R.E. Hartwig Resultants and the solution of AX - XB = C SIAM J. Appl. Math. 23 1 1972 105 117
    • (1972) SIAM J. Appl. Math. , vol.23 , Issue.1 , pp. 105-117
    • Hartwig, R.E.1
  • 15
    • 0020112884 scopus 로고
    • Solutions to the Lyapunov matrix equation BX - XA = C
    • J.R.J. Jones, and C. Lew Solutions to the Lyapunov matrix equation BX - XA = C IEEE Trans. Automat. Control AC-27 2 1982 464 466
    • (1982) IEEE Trans. Automat. Control , vol.AC-27 , Issue.2 , pp. 464-466
    • Jones, J.R.J.1    Lew, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.