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Volumn 326, Issue 1-3, 2001, Pages 137-150

Lyapunov, Lanczos, and inertia

Author keywords

Control; Inertia; Lanczos method; Lyapunov equation; Primary 65F15; Secondary 65G05; Stability

Indexed keywords


EID: 0035581664     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00288-3     Document Type: Article
Times cited : (7)

References (19)
  • 1
    • 0016884170 scopus 로고
    • Schwarz matrix properties for continuous and discrete time systems
    • Anderson B.D.O., Jury E.I., Mansour M. Schwarz matrix properties for continuous and discrete time systems. Int. J. Control. 23:1976;1-16.
    • (1976) Int. J. Control , vol.23 , pp. 1-16
    • Anderson, B.D.O.1    Jury, E.I.2    Mansour, M.3
  • 2
  • 3
    • 0023362233 scopus 로고
    • Continued fraction decomposition of linear systems in the space state
    • Antoulas A.C., Bishop R.H. Continued fraction decomposition of linear systems in the space state. Systems Control Lett. 9:1987;43-53.
    • (1987) Systems Control Lett. , vol.9 , pp. 43-53
    • Antoulas, A.C.1    Bishop, R.H.2
  • 5
    • 0347222001 scopus 로고
    • The Liapunov matrix equation and Schwarz's form
    • Barnett S., Storey C. The Liapunov matrix equation and Schwarz's form. IEEE Trans. Automat. Control. AC-12:1967;117-118.
    • (1967) IEEE Trans. Automat. Control , vol.12 , pp. 117-118
    • Barnett, S.1    Storey, C.2
  • 6
    • 84976855597 scopus 로고
    • Solution of the matrix equation AX+XB=C
    • Bartels R.H., Stewart G.W. Solution of the matrix equation. AX+XB=C Comm. ACM. 15:1972;820-826.
    • (1972) Comm. ACM , vol.15 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 7
    • 51249161441 scopus 로고
    • Krylov space methods on state-space control models
    • Boley D.L. Krylov space methods on state-space control models. Circuits, Systems Signal Process. 13:1994;733-758.
    • (1994) Circuits, Systems Signal Process. , vol.13 , pp. 733-758
    • Boley, D.L.1
  • 8
    • 0347852120 scopus 로고
    • A matrix for evaluating Schwarz's form
    • Chen C.F., Chu H. A matrix for evaluating Schwarz's form. IEEE Trans. Automat. Control. 11:1966;303-305.
    • (1966) IEEE Trans. Automat. Control , vol.11 , pp. 303-305
    • Chen, C.F.1    Chu, H.2
  • 9
    • 0000875808 scopus 로고
    • Controllability, observability and the solution of AX-XB=C
    • deSouza E., Bhattacharyya S.P. 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
    • Desouza, E.1    Bhattacharyya, S.P.2
  • 10
    • 0031348099 scopus 로고    scopus 로고
    • Computing minimal partial realizations via a Lanczos-type algorithm for multiple starting vectors
    • in:
    • R. Freund, Computing minimal partial realizations via a Lanczos-type algorithm for multiple starting vectors, in: Proceedings of the 36th IEEE CDC, 1997, pp. 4394-4399.
    • (1997) Proceedings of the 36th IEEE CDC , pp. 4394-4399
    • Freund, R.1
  • 11
    • 0000996134 scopus 로고
    • On the Partial Realization Problem
    • (Special Issue on Linear Systems and Control)
    • W.B. Gragg, A. Lindquist, On the Partial Realization Problem (Special Issue on Linear Systems and Control), Linear Algebra Appl. 50 (1983) 277-319.
    • (1983) Linear Algebra Appl. , vol.50 , pp. 277-319
    • Gragg, W.B.1    Lindquist, A.2
  • 12
    • 27544508073 scopus 로고
    • Model reduction of state space systems via an implicitly restarted Lanczos method
    • Grimme E.J., Sorensen D.C., Van Dooren P. Model reduction of state space systems via an implicitly restarted Lanczos method. Numer. Algorithms. 12:1995;1-31.
    • (1995) Numer. Algorithms , vol.12 , pp. 1-31
    • Grimme, E.J.1    Sorensen, D.C.2    Van Dooren, P.3
  • 14
    • 0018722062 scopus 로고
    • On partial realizations, transfer functions, and canonical forms
    • 1979
    • Kalman R.E. On partial realizations, transfer functions, and canonical forms. Acta Polytech. Scand. Ma. 31:1979;9-32. 1979.
    • (1979) Acta Polytech. Scand. Ma. , vol.31 , pp. 9-32
    • Kalman, R.E.1
  • 15
    • 0000131773 scopus 로고
    • Reduction to tridiagonal form and minimal realizations
    • Parlett B.N. Reduction to tridiagonal form and minimal realizations. SIAM J. Matrix Anal. Appl. 13:1992;567-593.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 567-593
    • Parlett, B.N.1
  • 17
    • 3943101629 scopus 로고
    • Ein Verfahren zur Stabilitätsfrage bei Matrizen-Eigenwertproblemen
    • H.-R. Schwarz, Ein Verfahren zur Stabilitätsfrage bei Matrizen-Eigenwertproblemen, Z. Angew. Math. Phys. ZAMP VII (1956), 473-500.
    • (1956) Z. Angew. Math. Phys. ZAMP , vol.7 , pp. 473-500
    • Schwarz, H.-R.1
  • 18
    • 0000844938 scopus 로고    scopus 로고
    • On the numerical solution of AX-XB=C
    • Simoncini V. On the numerical solution of. AX-XB=C BIT. 36:1996;814-830.
    • (1996) BIT , vol.36 , pp. 814-830
    • Simoncini, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.