메뉴 건너뛰기




Volumn , Issue , 2007, Pages

A Sylvester-equation based parametric approach for minimum norm and robust Partial Quadratic Eigenvalue Assignment Problems

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; GRADIENT METHODS; INDUSTRIAL ENGINEERING; MATRIX ALGEBRA; OPTIMIZATION; QUADRATIC PROGRAMMING; TRAVELING SALESMAN PROBLEM;

EID: 50249119713     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MED.2007.4433714     Document Type: Conference Paper
Times cited : (9)

References (21)
  • 2
    • 50249171281 scopus 로고
    • A collection of bench mark examples for the numerical solution of algebraic Ricatti equations I: Continuous time case
    • 95 23, TU Chemnitz-Zwickau, December
    • P.Benner, A.J.Laub, V.Mehrmann, "A collection of bench mark examples for the numerical solution of algebraic Ricatti equations I: continuous time case", Technical Report SPC 95 23 , TU Chemnitz-Zwickau, December 1995
    • (1995) Technical Report SPC
    • Benner, P.1    Laub, A.J.2    Mehrmann, V.3
  • 4
    • 50249104496 scopus 로고    scopus 로고
    • Robust and Minimum Norm Partial Quadratic Eigenvalue Assignment P problems: Theory and Computations
    • Ph.D. thesis, Dept. Of Mathematics, Northern Illinois University, IL
    • S.K.Brahma, "Robust and Minimum Norm Partial Quadratic Eigenvalue Assignment P problems: Theory and Computations" Ph.D. thesis, Dept. Of Mathematics, Northern Illinois University, IL 2006.
    • (2006)
    • Brahma, S.K.1
  • 5
    • 84927747703 scopus 로고    scopus 로고
    • A norm-minimizing parametric algorithm for quadratic partial eigenvalue assignment via Sylvester equation
    • Accepted for publication in, Greece, July
    • S. Brahma and B.N. Datta, A norm-minimizing parametric algorithm for quadratic partial eigenvalue assignment via Sylvester equation, Accepted for publication in Proc. European Control Conference, Kos, Greece, July, 2007.
    • (2007) Proc. European Control Conference, Kos
    • Brahma, S.1    Datta, B.N.2
  • 6
    • 0020792796 scopus 로고    scopus 로고
    • R.K.Cavin III, S.P.Bhattacharya, Robust and well-conditioned eigen-structure assignment via Sylvester's equation, Optimal Control Application & Methods, 4, 1983, pp 205-2 12.
    • R.K.Cavin III, S.P.Bhattacharya, "Robust and well-conditioned eigen-structure assignment via Sylvester's equation", Optimal Control Application & Methods, vol 4, 1983, pp 205-2 12.
  • 9
    • 0030416782 scopus 로고    scopus 로고
    • An algorithm for the partial multi-input pole assignment of a second-order control system
    • B.N.Datta, S.Elhay, Y.Ram, " An algorithm for the partial multi-input pole assignment of a second-order control system", Proc. IEEE. Conference on Decision and Cont rol, 1996, pp 2025-2029.
    • (1996) Proc. IEEE. Conference on Decision and Cont rol , pp. 2025-2029
    • Datta, B.N.1    Elhay, S.2    Ram, Y.3
  • 10
    • 0041108734 scopus 로고    scopus 로고
    • Orthogonality and Partial Pole Assignment for the Symmetric Definite Quadratic Pencil
    • B.N. Datta, Sylvan Elhay, and Y. Ram, Orthogonality and Partial Pole Assignment for the Symmetric Definite Quadratic Pencil, Lin. Alg. Appl., vol 257, 1997, 29-48.
    • (1997) Lin. Alg. Appl , vol.257 , pp. 29-48
    • Datta, B.N.1    Elhay, S.2    Ram, Y.3
  • 11
    • 14344265128 scopus 로고    scopus 로고
    • Partial eigenvalue assignment in linear systems: Existence, uniqueness and numerical solution
    • Notre Dame
    • B.N.Datta, D.R.Sarkissian, "Partial eigenvalue assignment in linear systems: existence, uniqueness and numerical solution", Mathematical Theory of Networks and Systems (MTN S), Notre Dame, (2002).
    • (2002) Mathematical Theory of Networks and Systems (MTN S)
    • Datta, B.N.1    Sarkissian, D.R.2
  • 12
    • 14544267917 scopus 로고    scopus 로고
    • Theory and computations of some inverse eigenvalue problems for the quadratic pencil
    • B.N.Datta, D.R.Sarkissian, "Theory and computations of some inverse eigenvalue problems for the quadratic pencil", Contemporary Mathematics, vol 280, 2001, pp 221-240.
    • (2001) Contemporary Mathematics , vol.280 , pp. 221-240
    • Datta, B.N.1    Sarkissian, D.R.2
  • 13
    • 50249143042 scopus 로고
    • Controllability, Observability and the solution n of AX + XB = C
    • E.deSouza and S.P.Bhattacharya,"Controllability, Observability and the solution n of AX + XB = C", Lin. Alg.Appl., vol 39, 1981, pp 101-110
    • (1981) Lin. Alg.Appl , vol.39 , pp. 101-110
    • deSouza, E.1    Bhattacharya, S.P.2
  • 14
    • 0004151494 scopus 로고
    • Cambridge University Press, New York, NY
    • R.Horn and C. Johnson, "Matrix Analysis," Cambridge University Press, New York, NY., 1991.
    • (1991) Matrix Analysis
    • Horn, R.1    Johnson, C.2
  • 17
    • 14744289619 scopus 로고    scopus 로고
    • Robust partial eigenvalue assignment problem for the second-order system
    • J.Qia'n, S.Xu, "Robust partial eigenvalue assignment problem for the second-order system ", Journal of Sound and Vibration , vol. 282, 2005, pp 937-948
    • (2005) Journal of Sound and Vibration , vol.282 , pp. 937-948
    • Qia'n, J.1    Xu, S.2
  • 18
    • 0033744289 scopus 로고    scopus 로고
    • Pole Assignment in vibrating systems by multi-input control
    • Y.M. Ram and S. Elhay, "Pole Assignment in vibrating systems by multi-input control," J. Sound and Vibration, vol 230, 2000, pp 309-321.
    • (2000) J. Sound and Vibration , vol.230 , pp. 309-321
    • Ram, Y.M.1    Elhay, S.2
  • 19
    • 0023979476 scopus 로고    scopus 로고
    • Projection and deflation for partial pole assignment in linear state feedback
    • Y. Saad, Projection and deflation for partial pole assignment in linear state feedback, IEEE Trans., Automatic Control, AC-33, 1998, pp. 290-297.
    • (1998) IEEE Trans., Automatic Control , vol.AC-33 , pp. 290-297
    • Saad, Y.1
  • 20
    • 0035359418 scopus 로고    scopus 로고
    • The Quadratic Eigenvalue Problem
    • F.Tisseur, K. Meerbergen, "The Quadratic Eigenvalue Problem", SIAM Review, vol. 43, no.2, pp 235-286.
    • SIAM Review , vol.43 , Issue.2 , pp. 235-286
    • Tisseur, F.1    Meerbergen, K.2
  • 21
    • 0043194013 scopus 로고    scopus 로고
    • A.Varga, A numerically reliable approach to robust pole assignment for descriptor systems, Future Generation Computer Systems, 19, 2003, pp 1221-1 230.
    • A.Varga, "A numerically reliable approach to robust pole assignment for descriptor systems", Future Generation Computer Systems, vol. 19, 2003, pp 1221-1 230.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.