메뉴 건너뛰기




Volumn 39, Issue 11, 2003, Pages 1935-1939

Necessary and sufficient conditions for existence of J -spectral factorization for para-Hermitian rational matrix functions

Author keywords

Algebraic Riccati equation; J spectral factorization; Lagrangian invariant subspaces

Indexed keywords

FUNCTION EVALUATION; LAGRANGE MULTIPLIERS; RICCATI EQUATIONS; SPECTRUM ANALYSIS;

EID: 0141754141     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(03)00201-2     Document Type: Article
Times cited : (12)

References (28)
  • 1
    • 0031357274 scopus 로고    scopus 로고
    • Algorithm of J-spectral factorization of polynomial matrices
    • Aliev F.A., Larin V.B. Algorithm of J-spectral factorization of polynomial matrices Automatica. 33:1997;2179-2182.
    • (1997) Automatica , vol.33 , pp. 2179-2182
    • Aliev, F.A.1    Larin, V.B.2
  • 4
    • 0141853065 scopus 로고
    • A new perturbation theory for the synthesis of nonlinear networks
    • Mathematical aspects of electrical network analysis (Proceedings of the SIAM-AMS symposium on applied mathematics, New York, 1969). Providence, RI: American Mathematical Society
    • Brockett, R. W., & Skoog, R. A. (1971). A new perturbation theory for the synthesis of nonlinear networks. In Mathematical aspects of electrical network analysis (Proceedings of the SIAM-AMS symposium on applied mathematics, New York, 1969), SIAM-AMS proceedings, Vol. III (pp. 17-33). Providence, RI: American Mathematical Society.
    • (1971) SIAM-AMS Proceedings , vol.3 , pp. 17-33
    • Brockett, R.W.1    Skoog, R.A.2
  • 5
  • 8
    • 0002001988 scopus 로고
    • Factorization of selfadjoint matrix polynomials with constant signature
    • Gohberg I., Lancaster P., Rodman L. Factorization of selfadjoint matrix polynomials with constant signature. Linear and Multilinear Algebra. 11:1982;209-224.
    • (1982) Linear and Multilinear Algebra , vol.11 , pp. 209-224
    • Gohberg, I.1    Lancaster, P.2    Rodman, L.3
  • 14
    • 0029703925 scopus 로고    scopus 로고
    • (J,J′)-spectral factorization and conjugation for discrete-time descriptor system
    • Katayama T. (J,J′) -spectral factorization and conjugation for discrete-time descriptor system Circuits Systems Signal Process. 15:1996;649-669.
    • (1996) Circuits Systems Signal Process , vol.15 , pp. 649-669
    • Katayama, T.1
  • 17
    • 0742319244 scopus 로고    scopus 로고
    • Existence of minimal nonsquare J -symmetric factorizations for self-adjoint rational matrix functions
    • to appear
    • Lerer, L., Petersen, M. A., & Ran, A. C. M. Existence of minimal nonsquare J -symmetric factorizations for self-adjoint rational matrix functions. Linear Algebra and its Applications, to appear.
    • Linear Algebra and its Applications
    • Lerer, L.1    Petersen, M.A.2    Ran, A.C.M.3
  • 18
    • 0040653955 scopus 로고    scopus 로고
    • J-pseudo-spectral and J-inner-pseudo-outer factorizations for matrix polynomials
    • Lerer L., Ran A.C.M. J -pseudo-spectral and J -inner-pseudo-outer factorizations for matrix polynomials Integral Equations and Operator Theory. 29:1997;23-51.
    • (1997) Integral Equations and Operator Theory , vol.29 , pp. 23-51
    • Lerer, L.1    Ran, A.C.M.2
  • 19
    • 0002467383 scopus 로고
    • The Autonomous linear quadratic control problem, theory and numerical solution
    • Berlin: Springer
    • Mehrmann V.L. The Autonomous linear quadratic control problem, theory and numerical solution. Lecture notes in control and information sciences. Vol. 163:1991;Springer, Berlin.
    • (1991) Lecture Notes in Control and Information Sciences , vol.163
    • Mehrmann, V.L.1
  • 20
    • 0029343334 scopus 로고
    • J-spectral factorization and equalizing vectors
    • Meinsma G.J. J -spectral factorization and equalizing vectors Systems and Control Letters. 25:1995;243-249.
    • (1995) Systems and Control Letters , vol.25 , pp. 243-249
    • Meinsma, G.J.1
  • 21
    • 0003630483 scopus 로고    scopus 로고
    • Ph.D. thesis, Groningen, 1999
    • Oostveen, J. (1999). Strongly stabilizable infinite-dimensional systems. Ph.D. thesis, Groningen, 1999. (See also Strongly stabilizable distributed parameter systems. Frontiers in applied mathematics, Vol. 20. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM), 2000.).
    • (1999) Strongly Stabilizable Infinite-dimensional Systems
    • Oostveen, J.1
  • 22
    • 0038547589 scopus 로고    scopus 로고
    • Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM)
    • Oostveen, J. (1999). Strongly stabilizable infinite-dimensional systems. Ph.D. thesis, Groningen, 1999. (See also Strongly stabilizable distributed parameter systems. Frontiers in applied mathematics, Vol. 20. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM), 2000.).
    • (2000) Strongly Stabilizable Distributed Parameter Systems. Frontiers in Applied Mathematics , vol.20
  • 23
    • 0141819330 scopus 로고    scopus 로고
    • Minimal nonsquare J-spectral factorization, generalized bezoutians and common zeros of rational matrix functions
    • to appear
    • Petersen, M. A., & Ran, A. C. M. Minimal nonsquare J -spectral factorization, generalized bezoutians and common zeros of rational matrix functions. Integral Equations and Operator Theory, to appear.
    • Integral Equations and Operator Theory
    • Petersen, M.A.1    Ran, A.C.M.2
  • 24
    • 0001399701 scopus 로고
    • Minimal factorization of selfadjoint rational matrix functions
    • Ran A.C.M. Minimal factorization of selfadjoint rational matrix functions. Integral Equations and Operator Theory. 5:1982;850-869.
    • (1982) Integral Equations and Operator Theory , vol.5 , pp. 850-869
    • Ran, A.C.M.1
  • 25
    • 44949291177 scopus 로고
    • Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and applications
    • Ran A.C.M., Rodman L. Stable invariant Lagrangian subspaces. Factorization of symmetric rational matrix functions and applications Linear Algebra and its Applications. 137,138:1990;576-620.
    • (1990) Linear Algebra and its Applications , vol.137-138 , pp. 576-620
    • Ran, A.C.M.1    Rodman, L.2
  • 26
    • 0002302005 scopus 로고
    • On symmetric factorizations of rational matrix functions
    • Ran A.C.M., Rodman L. On symmetric factorizations of rational matrix functions. Linear and Multilinear Algebra. 29:1991;243-261.
    • (1991) Linear and Multilinear Algebra , vol.29 , pp. 243-261
    • Ran, A.C.M.1    Rodman, L.2
  • 27
    • 0039967623 scopus 로고    scopus 로고
    • On selfadjoint matrix polynomials with constant signature
    • Ran A.C.M., Zizler P. On selfadjoint matrix polynomials with constant signature. Linear Algebra and its Applications. 259:1997;133-153.
    • (1997) Linear Algebra and its Applications , vol.259 , pp. 133-153
    • Ran, A.C.M.1    Zizler, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.