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Volumn 418, Issue 2-3, 2006, Pages 793-820

Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm

Author keywords

All pass systems; Linear systems; Lossless systems; Multivariable systems; Schur parameters; Stability; State space realization

Indexed keywords

INTERPOLATION; LINEAR ALGEBRA; LINEAR SYSTEMS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; MULTIVARIABLE SYSTEMS; PARAMETER ESTIMATION; STABILITY; STATE SPACE METHODS;

EID: 33748178908     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2006.03.027     Document Type: Article
Times cited : (19)

References (23)
  • 1
    • 0002757471 scopus 로고
    • On the differential structure of matrix-valued rational inner functions
    • Alpay D., Baratchart L., and Gombani A. On the differential structure of matrix-valued rational inner functions. Operator Theory: Adv. Appl. 73 (1994) 30-66
    • (1994) Operator Theory: Adv. Appl. , vol.73 , pp. 30-66
    • Alpay, D.1    Baratchart, L.2    Gombani, A.3
  • 3
    • 0009603135 scopus 로고
    • On the topological structure of inner functions and its use in identification
    • Analysis of Controlled Dynamical Systems, Lyon, France, 1990, Birkhäuser
    • Baratchart L. On the topological structure of inner functions and its use in identification. Analysis of Controlled Dynamical Systems, Lyon, France, 1990. Progress in Systems and Control Theory vol. 8 (1990), Birkhäuser 51-59
    • (1990) Progress in Systems and Control Theory , vol.8 , pp. 51-59
    • Baratchart, L.1
  • 5
    • 33748148069 scopus 로고    scopus 로고
    • J. Bruls, C.T. Chou, B.R.J. Haverkamp, M. Verhaegen, Linear and non-linear system identification using separable least-squares, Technical University Delft, Department of Electrical Engineering, Systems- and Control Laboratory, Report TUD/ET/SCE96.009, 1997.
  • 6
    • 0001791253 scopus 로고
    • Cyclic vectors and invariant subspaces for the backward shift operator
    • Douglas R., Shapiro H., and Shields A. Cyclic vectors and invariant subspaces for the backward shift operator. Ann. Inst. Fourier (Grenoble) 20 (1970) 37-76
    • (1970) Ann. Inst. Fourier (Grenoble) , vol.20 , pp. 37-76
    • Douglas, R.1    Shapiro, H.2    Shields, A.3
  • 7
    • 0011745402 scopus 로고
    • American Mathematical Society, Rhode Island
    • Dym H. J-contractive matrix functions, reproducing kernel spaces and interpolation. CBMS Lecture Notes vol. 71 (1989), American Mathematical Society, Rhode Island
    • (1989) CBMS Lecture Notes , vol.71
    • Dym, H.1
  • 8
    • 0032206649 scopus 로고    scopus 로고
    • 2-approximation: a gradient algorithm based on Schur analysis
    • 2-approximation: a gradient algorithm based on Schur analysis. SIAM J. Control Optim. 36 6 (1998) 2103-2127
    • (1998) SIAM J. Control Optim. , vol.36 , Issue.6 , pp. 2103-2127
    • Fulcheri, P.1    Olivi, M.2
  • 10
    • 0030388221 scopus 로고    scopus 로고
    • 2 problem for stable linear systems
    • 2 problem for stable linear systems. Automatica 3 12 (1996) 1645-1657
    • (1996) Automatica , vol.3 , Issue.12 , pp. 1645-1657
    • Hanzon, B.1    Maciejowski, J.M.2
  • 11
    • 0033676534 scopus 로고    scopus 로고
    • Balanced parametrizations of stable SISO all-pass systems in discrete-time
    • Hanzon B., and Peeters R.L.M. Balanced parametrizations of stable SISO all-pass systems in discrete-time. MCSS 13 (2000) 240-276
    • (2000) MCSS , vol.13 , pp. 240-276
    • Hanzon, B.1    Peeters, R.L.M.2
  • 12
    • 0030836239 scopus 로고    scopus 로고
    • Overlapping block-balanced canonical forms and parametrizations: the SISO case
    • Hanzon B., and Ober R.J. Overlapping block-balanced canonical forms and parametrizations: the SISO case. SIAM J. Control Optim. 35 January (1997) 228-242
    • (1997) SIAM J. Control Optim. , vol.35 , Issue.January , pp. 228-242
    • Hanzon, B.1    Ober, R.J.2
  • 13
    • 0041636268 scopus 로고    scopus 로고
    • Overlapping block-balanced canonical forms for various classes of linear systems
    • Hanzon B., and Ober R.J. Overlapping block-balanced canonical forms for various classes of linear systems. Linear Algebra Appl. 281 (1998) 171-225
    • (1998) Linear Algebra Appl. , vol.281 , pp. 171-225
    • Hanzon, B.1    Ober, R.J.2
  • 16
    • 0031681485 scopus 로고    scopus 로고
    • 2 approximation of transfer functions
    • 2 approximation of transfer functions. MCSS 11 (1998) 28-39
    • (1998) MCSS , vol.11 , pp. 28-39
    • Leblond, J.1    Olivi, M.2
  • 17
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: controllability, observability, and model reduction
    • Moore B.C. Principal component analysis in linear systems: controllability, observability, and model reduction. IEEE Trans. Autom. Control AC-26 (1981) 17-32
    • (1981) IEEE Trans. Autom. Control , vol.AC-26 , pp. 17-32
    • Moore, B.C.1
  • 18
    • 0023400734 scopus 로고
    • Balanced realizations: canonical form, parametrization, model reduction
    • Ober R.J. Balanced realizations: canonical form, parametrization, model reduction. Int. J. Control 46 (1987) 643-670
    • (1987) Int. J. Control , vol.46 , pp. 643-670
    • Ober, R.J.1
  • 19
    • 33748148873 scopus 로고    scopus 로고
    • R.J. Ober, Asymptotically stable allpass transfer functions: canonical form, parametrization and realization, in: Proceedings of the IFAC World Congress, Munich, 1987.
  • 20
    • 0000338056 scopus 로고
    • The multiplicative structure of J-contractive matrix functions
    • Potapov V.P. The multiplicative structure of J-contractive matrix functions. Amer. Math. Soc. Transl. 15 2 (1960) 131-243
    • (1960) Amer. Math. Soc. Transl. , vol.15 , Issue.2 , pp. 131-243
    • Potapov, V.P.1
  • 21
    • 0002197583 scopus 로고
    • Linear fractional transformations of matrices
    • Potapov V.P. Linear fractional transformations of matrices. Amer. Math. Soc. Transl. 138 2 (1988) 21-35
    • (1988) Amer. Math. Soc. Transl. , vol.138 , Issue.2 , pp. 21-35
    • Potapov, V.P.1
  • 22
    • 0020114118 scopus 로고
    • Model reduction via balanced state space representations
    • Pernebo L., and Silverman L.M. Model reduction via balanced state space representations. IEEE Trans. Autom. Control AC-27 (1982) 382-387
    • (1982) IEEE Trans. Autom. Control , vol.AC-27 , pp. 382-387
    • Pernebo, L.1    Silverman, L.M.2
  • 23
    • 0041192095 scopus 로고
    • Linear fractional transformations in rings and modules
    • Young N.J. Linear fractional transformations in rings and modules. Linear Algebra Appl. 56 (1984) 251-290
    • (1984) Linear Algebra Appl. , vol.56 , pp. 251-290
    • Young, N.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.