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Volumn 7, Issue 6, 2001, Pages 584-592

On frequency weighted balanced truncation: Hankel singular values and error bounds

Author keywords

Balanced truncation; Frequency weighted balancing; Hankel singular values; Model reduction

Indexed keywords


EID: 17744399597     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.3166/ejc.7.584-592     Document Type: Article
Times cited : (14)

References (14)
  • 1
    • 0024051238 scopus 로고
    • Model reduction via balanced realisations: An extension and frequency weighting techniques
    • Al-Saggaf UM, Franklin GF. Model reduction via balanced realisations: an extension and frequency weighting techniques. IEEE Trans Automatic Contr 1988; 33: 687-692
    • (1988) IEEE Trans Automatic Contr , vol.33 , pp. 687-692
    • Al-Saggaf, U.M.1    Franklin, G.F.2
  • 2
    • 0004128184 scopus 로고
    • PhD Thesis. Department of Aeronautics and Astronautics, Stanford University
    • Enns DF. Model reduction for control system design, PhD Thesis. Department of Aeronautics and Astronautics, Stanford University, 1984
    • (1984) Model Reduction for Control System Design
    • Enns, D.F.1
  • 3
    • 0021641650 scopus 로고
    • Model reduction with balanced realisations: An error bound and a frequency weighted generalisation
    • Las Vegas, USA
    • Enns DF. Model reduction with balanced realisations: an error bound and a frequency weighted generalisation. In: Proceedings of the 23rd IEEE conference on decision control, Las Vegas, USA, 1984, pp 127-132
    • (1984) Proceedings of the 23rd IEEE Conference on Decision Control , pp. 127-132
    • Enns, D.F.1
  • 4
    • 0021441691 scopus 로고
    • All optimal Hankel norm approximations of linear multivariable systems and their L∞ error bounds
    • Glover K. All optimal Hankel norm approximations of linear multivariable systems and their L∞ error bounds. Int. J Contr 1984; 39: 1115-1193
    • (1984) Int. J Contr , vol.39 , pp. 1115-1193
    • Glover, K.1
  • 5
    • 0029255267 scopus 로고
    • Error bound for transfer function order reduction using frequency weighted balancing truncation
    • Kim SW, Anderson BDO, Madievski AG. Error bound for transfer function order reduction using frequency weighted balancing truncation. Syst Contr Lett 1995; 24: 183-192
    • (1995) Syst Contr Lett , vol.24 , pp. 183-192
    • Kim, S.W.1    Anderson, B.D.O.2    Madievski, A.G.3
  • 6
    • 0026881010 scopus 로고
    • Model reduction via frequency weighted balanced realisation
    • Lin F-J, Chiu SL. Model reduction via frequency weighted balanced realisation. Contr Theor Adv Technol 1992; 8: 341-351
    • (1992) Contr Theor Adv Technol , vol.8 , pp. 341-351
    • Lin, F.-J.1    Chiu, S.L.2
  • 7
    • 0029486502 scopus 로고
    • Frequency weighted subspace based system identification in the frequency domain
    • New Orleans, Louisiana, USA
    • McKelvey T. Frequency weighted subspace based system identification in the frequency domain. In: Proceedings of the 34th IEEE conference on decision and control, New Orleans, Louisiana, USA, 1995, pp 1228-1233
    • (1995) Proceedings of the 34th IEEE Conference on Decision and Control , pp. 1228-1233
    • McKelvey, T.1
  • 8
    • 0020114118 scopus 로고
    • Model reduction via balanced state space representations
    • Pernebo L, Silverman LM. Model reduction via balanced state space representations. IEEE Trans Automatic Contr 1982; 27: 382-387
    • (1982) IEEE Trans Automatic Contr , vol.27 , pp. 382-387
    • Pernebo, L.1    Silverman, L.M.2
  • 12
    • 0032594194 scopus 로고    scopus 로고
    • A new frequency-weighted balanced truncation method and an error bound
    • Wang G, Sreeram V, Liu WQ. A new frequency-weighted balanced truncation method and an error bound. IEEE Trans Automatic Contr 1999; 44: 1734-1737
    • (1999) IEEE Trans Automatic Contr , vol.44 , pp. 1734-1737
    • Wang, G.1    Sreeram, V.2    Liu, W.Q.3
  • 13
    • 29744461061 scopus 로고
    • Generalized frequency weighted balanced reduction
    • Bosgra OH, Van den Hof PMJ (eds). Delft University Press, Delft, The Netherlands
    • Wortelboer PMR, Bosgra OH. Generalized frequency weighted balanced reduction. In: Bosgra OH, Van den Hof PMJ (eds). Selected topics in identification, modelling and control, Vol 5, Delft University Press, Delft, The Netherlands, 1992, pp 29-36
    • (1992) Selected Topics in Identification, Modelling and Control , vol.5 , pp. 29-36
    • Wortelboer, P.M.R.1    Bosgra, O.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.