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Volumn 86, Issue 2, 2009, Pages 355-371

A proper orthogonal decomposition approach to approximate balanced truncation of infinite dimensional linear systems

Author keywords

Balanced truncation; Infinite dimensional systems; Proper orthogonal decomposition

Indexed keywords

BALANCED TRUNCATION; COMPUTATIONAL APPROACH; CONVECTION DIFFUSION; FINITE DIMENSIONAL; INFINITE-DIMENSIONAL LINEAR SYSTEMS; INFINITE-DIMENSIONAL SYSTEM; PROPER ORTHOGONAL DECOMPOSITIONS; REDUCED ORDER MODELS;

EID: 57349175100     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160802331887     Document Type: Conference Paper
Times cited : (20)

References (13)
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    • P. Benner, V. Mehrmann, and D.C. Sorensen (eds.), Dimension Reduction of Large-Scale Systems, Springer-Verlag, Berlin, 2005.
    • (2005) Dimension Reduction of Large-Scale Systems
  • 4
    • 14544275779 scopus 로고    scopus 로고
    • Model reduction for control design for distributed parameter systems
    • SIAM, Philadelphia, PA
    • R.F. Curtain, Model reduction for control design for distributed parameter systems, in Research Directions in Distributed Parameter Systems, SIAM, Philadelphia, PA, 2003, pp. 95-121.
    • (2003) Research Directions in Distributed Parameter Systems , pp. 95-121
    • Curtain, R.F.1
  • 5
    • 0040307658 scopus 로고
    • Balanced realisations for infinite-dimensional systems
    • Birkhäuser, Basel
    • R.F. Curtain and K. Glover, Balanced realisations for infinite-dimensional systems, in Operator Theory and Systems {Amsterdam., 1985), Birkhäuser, Basel, 1986, pp. 87-104.
    • (1985) Operator Theory and Systems {Amsterdam , pp. 87-104
    • Curtain, R.F.1    Glover, K.2
  • 6
    • 0035883055 scopus 로고    scopus 로고
    • Compactness and nuclearity of the Hankel operator and internal stability of infinitedimensional state linear systems
    • R.F. Curtain and AJ. Sasane, Compactness and nuclearity of the Hankel operator and internal stability of infinitedimensional state linear systems, Int. J. Control 74 (2001), pp. 1260-1270.
    • (2001) Int. J. Control , vol.74 , pp. 1260-1270
    • Curtain, R.F.1    Sasane, A.J.2
  • 10
    • 0024035850 scopus 로고
    • Realization and approximation of linear infinite-dimensional systems with error bounds
    • K. Glover, R.F. Curtain, and J.R. Partington, Realization and approximation of linear infinite-dimensional systems with error bounds, SIAM J. Control Optim. 26 (1988), pp. 863-898.
    • (1988) SIAM J. Control Optim , vol.26 , pp. 863-898
    • Glover, K.1    Curtain, R.F.2    Partington, J.R.3
  • 11
    • 21144449758 scopus 로고    scopus 로고
    • Model reduction for fluids, using balanced proper orthogonal decomposition
    • C.W. Rowley, Model reduction for fluids, using balanced proper orthogonal decomposition, Int. J. Bifur. Chaos Appl. Sci. Eng. 15 (2005), pp. 997-1013.
    • (2005) Int. J. Bifur. Chaos Appl. Sci. Eng , vol.15 , pp. 997-1013
    • Rowley, C.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.