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Volumn 32, Issue 12, 1996, Pages 1645-1657

Constructive algebra methods for the L2-problem for stable linear systems

Author keywords

Canonical forms; Computer algebra; Gr bner bases; Model reduction

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FREQUENCY RESPONSE; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; OPTIMIZATION; POLYNOMIALS; SYSTEM STABILITY; TRANSFER FUNCTIONS;

EID: 0030388221     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(96)80002-1     Document Type: Article
Times cited : (22)

References (14)
  • 1
    • 8744311469 scopus 로고
    • Cylindrical algebraic decomposition, Parts I and II
    • Arnon, D. S., G. E. Collins and S. McCallum (1984). Cylindrical algebraic decomposition, Parts I and II. SIAM J. Comput., 13, 856-877 and 878-889.
    • (1984) SIAM J. Comput. , vol.13 , pp. 856-877
    • Arnon, D.S.1    Collins, G.E.2    McCallum, S.3
  • 2
    • 0002844163 scopus 로고
    • 2 approximants for linear systems
    • 2 approximants for linear systems. IMA J. Control Inf., 3, 89-102.
    • (1986) IMA J. Control Inf. , vol.3 , pp. 89-102
    • Baratchart, L.1
  • 7
    • 0010132794 scopus 로고
    • Solving algebraic equations: Combining Buchberger's algorithm with multivariate factorization
    • Czapor, S. R. (1989a). Solving algebraic equations: combining Buchberger's algorithm with multivariate factorization. J. Symbolic Comput., 7, 49-53.
    • (1989) J. Symbolic Comput. , vol.7 , pp. 49-53
    • Czapor, S.R.1
  • 10
    • 8744279970 scopus 로고
    • Constructive algebra methods for the L2 problem for stable linear systems, with examples
    • Cambridge University Engineering Department, June 1994. Note: A dvi version of this report is available on the World Wide Web
    • Hanzon, B. and J. M. Maciejowski (1994). Constructive algebra methods for the L2 problem for stable linear systems, with examples. Technical Report CUED/F-INFENG/TR178. Cambridge University Engineering Department, June 1994. (Note: A dvi version of this report is available on the World Wide Web at URL http://www-control.eng.cam.ac.uk/jmm/papers/TR178.dvi.)
    • (1994) Technical Report CUED/F-INFENG/TR178
    • Hanzon, B.1    Maciejowski, J.M.2
  • 11
    • 0041850518 scopus 로고
    • Overlapping block-balanced canonical forms and parameterizations: The stable SISO case
    • Tucson, AZ
    • Hanzon, B. and R. J. Ober (1992). Overlapping block-balanced canonical forms and parameterizations: the stable SISO case. In Proc. 31sf IEEE Conf. on Decision and Control, Tucson, AZ, pp. 2835-2838. Also SIAM J. Control. Optim., to be published.
    • (1992) Proc. 31sf IEEE Conf. on Decision and Control , pp. 2835-2838
    • Hanzon, B.1    Ober, R.J.2
  • 12
    • 85033002961 scopus 로고    scopus 로고
    • to be published
    • Hanzon, B. and R. J. Ober (1992). Overlapping block-balanced canonical forms and parameterizations: the stable SISO case. In Proc. 31sf IEEE Conf. on Decision and Control, Tucson, AZ, pp. 2835-2838. Also SIAM J. Control. Optim., to be published.
    • SIAM J. Control. Optim.
  • 14
    • 34250464350 scopus 로고
    • Dissipative dynamic systems
    • Willems, J. C. (1972). Dissipative dynamic systems. Arch. Rat. Mech. Anal., 45, 321-392.
    • (1972) Arch. Rat. Mech. Anal. , vol.45 , pp. 321-392
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.