메뉴 건너뛰기




Volumn 281, Issue 1-3, 1998, Pages 171-225

Overlapping block-balanced canonical forms for various classes of linear systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041636268     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10056-3     Document Type: Article
Times cited : (19)

References (32)
  • 2
    • 0038843007 scopus 로고
    • A note on the analyticity of the Riccati metric
    • C.1. Byrnes, C.F. Martin (Eds.), Amer. Math. Soc., Providence, RI
    • D. Delchamps, A note on the analyticity of the Riccati metric, in: C.1. Byrnes, C.F. Martin (Eds.), Lecture Notes in Applied Mathematics, vol. 18, Amer. Math. Soc., Providence, RI, 1980, pp. 37-42.
    • (1980) Lecture Notes in Applied Mathematics , vol.18 , pp. 37-42
    • Delchamps, D.1
  • 3
    • 0021542280 scopus 로고
    • A transformation approach to stochastic model reduction
    • U.B. Desai, D. Pal, A transformation approach to stochastic model reduction, IEEE Trans. Automat. Control 29 (1984) 1097-1100.
    • (1984) IEEE Trans. Automat. Control , vol.29 , pp. 1097-1100
    • Desai, U.B.1    Pal, D.2
  • 6
    • 0001565277 scopus 로고
    • On Σ-lossless transfer functions and related questions
    • Y.P. Genin, P. van Dooren, T. Kailath, On Σ-lossless transfer functions and related questions, Linear Algebra Appl. 50 (1983) 251-275.
    • (1983) Linear Algebra Appl. , vol.50 , pp. 251-275
    • Genin, Y.P.1    Van Dooren, P.2    Kailath, T.3
  • 7
    • 0021441691 scopus 로고
    • ∞-error bounds
    • ∞-error bounds, Int. J. Control 39 (1984) 1115-1193.
    • (1984) Int. J. Control , vol.39 , pp. 1115-1193
    • Glover, K.1
  • 8
    • 0009353270 scopus 로고
    • Identifiability, recursive identification and spaces of linear dynamical systems
    • 64 CWI Amsterdam
    • B. Hanzon, Identifiability, recursive identification and spaces of linear dynamical systems, CWI Tracts 63, 64 CWI Amsterdam, 1989.
    • (1989) CWI Tracts , vol.63
    • Hanzon, B.1
  • 9
    • 0024765394 scopus 로고
    • On the differentiable manifold of fixed order stable linear systems
    • B. Hanzon, On the differentiable manifold of fixed order stable linear systems. Systems Control Lett. 13 (1989) 345-352.
    • (1989) Systems Control Lett. , vol.13 , pp. 345-352
    • Hanzon, B.1
  • 10
    • 0029250560 scopus 로고
    • A new balanced canonical form for stable multivariable systems
    • B. Hanzon, A new balanced canonical form for stable multivariable systems, IEEE Trans. Automat. Control 40 (1995) 374-378.
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 374-378
    • Hanzon, B.1
  • 11
  • 12
    • 0041850518 scopus 로고
    • Overlapping block-balanced canonical forms and parametrizations: The stable SISO case
    • Tucson, Arizona
    • B. Hanzon, R.J. Ober, Overlapping block-balanced canonical forms and parametrizations: The stable SISO case, in: Proceedings 31st IEEE CDC, Tucson, Arizona, 1992, pp. 2835-2838.
    • (1992) Proceedings 31st IEEE CDC , pp. 2835-2838
    • Hanzon, B.1    Ober, R.J.2
  • 13
    • 0030836239 scopus 로고    scopus 로고
    • Overlapping block-balanced canonical forms and parametrizations: The SISO case
    • B. Hanzon, R.J. Ober, Overlapping block-balanced canonical forms and parametrizations: The SISO case, SIAM J. Control Optim. 35 (1997) 228-242.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 228-242
    • Hanzon, B.1    Ober, R.J.2
  • 14
    • 0042852659 scopus 로고
    • Moduli and canonical forms for linear dynamical systems II: The topological case
    • M. Hazewinkel, Moduli and canonical forms for linear dynamical systems II: The topological case, Math. Systems Theory 10 (1977) 363-385.
    • (1977) Math. Systems Theory , vol.10 , pp. 363-385
    • Hazewinkel, M.1
  • 15
    • 0020829073 scopus 로고
    • A new set of invariants for linear systems-application to reduced order compensator design
    • E.A. Jonckheere, L.M. Silverman, A new set of invariants for linear systems-application to reduced order compensator design, IEEE Trans. Automat. Control 28 (1983) 953-964.
    • (1983) IEEE Trans. Automat. Control , vol.28 , pp. 953-964
    • Jonckheere, E.A.1    Silverman, L.M.2
  • 16
    • 0022147916 scopus 로고
    • Balanced forms: Canonicity and parametrization
    • P.T. Kabamba, Balanced forms: Canonicity and parametrization, IEEE Trans. Automat. Control 30 (1985) 1106-1109.
    • (1985) IEEE Trans. Automat. Control , vol.30 , pp. 1106-1109
    • Kabamba, P.T.1
  • 17
    • 0008112282 scopus 로고
    • Perturbation theory for linear operators
    • Springer, Berlin
    • T. Kato, Perturbation theory for linear operators, in: Classics in Mathematics, Springer, Berlin, 1995.
    • (1995) Classics in Mathematics
    • Kato, T.1
  • 21
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability and model reduction
    • B.C. Moore, Principal component analysis in linear systems: Controllability, observability and model reduction, IEEE Trans. Automat. Control 26 (1981) 17-32.
    • (1981) IEEE Trans. Automat. Control , vol.26 , pp. 17-32
    • Moore, B.C.1
  • 23
    • 0023400734 scopus 로고
    • Balanced realizations; Canonical forms, parametrizations, model reduction
    • R.J. Ober, Balanced realizations; Canonical forms, parametrizations, model reduction, Int. J. Control 46 (1987) 643-670.
    • (1987) Int. J. Control , vol.46 , pp. 643-670
    • Ober, R.J.1
  • 24
    • 0026254257 scopus 로고
    • Balanced parametrization of classes of linear systems
    • R.J. Ober, Balanced parametrization of classes of linear systems, SIAM J. Control Optim. 29 (1991) 1251-1287.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 1251-1287
    • Ober, R.J.1
  • 25
    • 0042822709 scopus 로고    scopus 로고
    • Balanced canonical forms
    • Springer. Berlin
    • R.J. Ober, Balanced canonical forms, in: Identification, Adaptation, Learning, Springer. Berlin, 1996, pp. 120-179.
    • (1996) Identification, Adaptation, Learning , pp. 120-179
    • Ober, R.J.1
  • 27
    • 0023964826 scopus 로고
    • A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds
    • P.C. Opdenacker, E.A. Jonckheere, A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds, IEEE Trans. Circuits Systems 35 (1988) 184-189.
    • (1988) IEEE Trans. Circuits Systems , vol.35 , pp. 184-189
    • Opdenacker, P.C.1    Jonckheere, E.A.2
  • 29
    • 0020114118 scopus 로고
    • Model reduction via balanced state space representations
    • L. Pernebo, L.M. Silverman, Model reduction via balanced state space representations, IEEE Trans. Automat. Control 27 (1982) 382-387.
    • (1982) IEEE Trans. Automat. Control , vol.27 , pp. 382-387
    • Pernebo, L.1    Silverman, L.M.2
  • 31
    • 0015206454 scopus 로고
    • Least squares stationary optimal control and algebraic Riccati equation
    • J.C. Willems, Least squares stationary optimal control and algebraic Riccati equation, IEEE Trans. Automat. Control 16 (1971) 621-634.
    • (1971) IEEE Trans. Automat. Control , vol.16 , pp. 621-634
    • Willems, J.C.1
  • 32
    • 0029496970 scopus 로고
    • Diffeomorphisms between classes of linear systems
    • C.T. Chou, B. HanBon, Diffeomorphisms between classes of linear systems, Systems Control Lett. 26 (1995) 289-300.
    • (1995) Systems Control Lett. , vol.26 , pp. 289-300
    • Chou, C.T.1    Hanbon, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.