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Volumn 66, Issue 17, 2011, Pages 3907-3913

State-preserving nonlinear model reduction procedure

Author keywords

Mathematical modeling; Model reduction; Nonlinear dynamics; Petrov Galerkin projection; Proper orthogonal decomposition; Systems engineering

Indexed keywords

MATHEMATICAL MODELING; MODEL REDUCTION; NON-LINEAR DYNAMICS; PETROV-GALERKIN; PROPER ORTHOGONAL DECOMPOSITIONS;

EID: 79959635856     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2011.05.012     Document Type: Article
Times cited : (16)

References (28)
  • 2
    • 0022750117 scopus 로고
    • Dynamic compartmental models for separation processes
    • Benallou A., Seborg D.E., Mellichamp D.A. Dynamic compartmental models for separation processes. AIChE Journal 1986, 32(7):1067-1078.
    • (1986) AIChE Journal , vol.32 , Issue.7 , pp. 1067-1078
    • Benallou, A.1    Seborg, D.E.2    Mellichamp, D.A.3
  • 3
    • 12044259644 scopus 로고
    • The proper orthogonal decomposition in the analysis of turbulent flows
    • Berkooz G., Holmes P., Lumley J.L. The proper orthogonal decomposition in the analysis of turbulent flows. Annual Review of Fluid Mechanics 1993, 25:539-575.
    • (1993) Annual Review of Fluid Mechanics , vol.25 , pp. 539-575
    • Berkooz, G.1    Holmes, P.2    Lumley, J.L.3
  • 4
    • 54549107992 scopus 로고    scopus 로고
    • Exact model reduction of combinatorial reaction networks
    • Conzelmann H., Fey D., Gilles E.D. Exact model reduction of combinatorial reaction networks. BMC Systems Biology 2008, 2:78.
    • (2008) BMC Systems Biology , vol.2 , pp. 78
    • Conzelmann, H.1    Fey, D.2    Gilles, E.D.3
  • 5
    • 33750040836 scopus 로고    scopus 로고
    • Reduction of a biochemical model with preservation of its basic dynamic properties
    • Dano S., Madsen M.F., Schmidt H., Cedersund G. Reduction of a biochemical model with preservation of its basic dynamic properties. FEBS Journal 2006, 273(21):4862-4877.
    • (2006) FEBS Journal , vol.273 , Issue.21 , pp. 4862-4877
    • Dano, S.1    Madsen, M.F.2    Schmidt, H.3    Cedersund, G.4
  • 6
    • 0026067446 scopus 로고
    • Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders
    • Deane A.E., Kevrekidis I.G., Karniadakis G.E., Orszag S.A. Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders. Physics of Fluids A: Fluid Dynamics 1991, 3(10):2337-2354.
    • (1991) Physics of Fluids A: Fluid Dynamics , vol.3 , Issue.10 , pp. 2337-2354
    • Deane, A.E.1    Kevrekidis, I.G.2    Karniadakis, G.E.3    Orszag, S.A.4
  • 7
    • 58849120545 scopus 로고    scopus 로고
    • Proper lumping in systems biology models
    • Dokoumetzidis A., Aarons L. Proper lumping in systems biology models. IET Systems Biology 2009, 3(1):40-51.
    • (2009) IET Systems Biology , vol.3 , Issue.1 , pp. 40-51
    • Dokoumetzidis, A.1    Aarons, L.2
  • 8
    • 0037108424 scopus 로고    scopus 로고
    • An improved method for nonlinear model reduction using balancing of empirical gramians
    • Hahn J., Edgar T.F. An improved method for nonlinear model reduction using balancing of empirical gramians. Computers & Chemical Engineering 2002, 26(10):1379-1397.
    • (2002) Computers & Chemical Engineering , vol.26 , Issue.10 , pp. 1379-1397
    • Hahn, J.1    Edgar, T.F.2
  • 9
    • 0036569299 scopus 로고    scopus 로고
    • Balancing approach to minimal realization and model reduction of stable nonlinear systems
    • Hahn J., Edgar T.F. Balancing approach to minimal realization and model reduction of stable nonlinear systems. Industrial & Engineering Chemistry Research 2002, 41(9):2204-2212.
    • (2002) Industrial & Engineering Chemistry Research , vol.41 , Issue.9 , pp. 2204-2212
    • Hahn, J.1    Edgar, T.F.2
  • 10
    • 49649102431 scopus 로고    scopus 로고
    • Kinetic modeling of large-scale reaction systems
    • Ho T.C. Kinetic modeling of large-scale reaction systems. Catalysis Reviews-Science and Engineering 2008, 50(3):287-378.
    • (2008) Catalysis Reviews-Science and Engineering , vol.50 , Issue.3 , pp. 287-378
    • Ho, T.C.1
  • 11
    • 0036566376 scopus 로고    scopus 로고
    • A subspace approach to balanced truncation for model reduction of nonlinear control systems
    • Lall S., Marsden J.E., Glavaski S. A subspace approach to balanced truncation for model reduction of nonlinear control systems. International journal of robust and nonlinear control 2002, 12(6):519-535.
    • (2002) International journal of robust and nonlinear control , vol.12 , Issue.6 , pp. 519-535
    • Lall, S.1    Marsden, J.E.2    Glavaski, S.3
  • 12
    • 0025628847 scopus 로고
    • A general analysis of approximate lumping in chemical kinetics
    • Li G., Rabitz H. A general analysis of approximate lumping in chemical kinetics. Chemical Engineering Science 1990, 45(4):977-1002.
    • (1990) Chemical Engineering Science , vol.45 , Issue.4 , pp. 977-1002
    • Li, G.1    Rabitz, H.2
  • 13
    • 59349110428 scopus 로고    scopus 로고
    • Toward accommodating realistic fuel chemistry in large-scale computations
    • Lu T.F., Law C.K. Toward accommodating realistic fuel chemistry in large-scale computations. Progress in Energy and Combustion Science 2009, 35(2):192-215.
    • (2009) Progress in Energy and Combustion Science , vol.35 , Issue.2 , pp. 192-215
    • Lu, T.F.1    Law, C.K.2
  • 14
    • 5444220826 scopus 로고    scopus 로고
    • A review of algorithms and trends in kinetic model identification for chemical and biochemical systems
    • Maria G. A review of algorithms and trends in kinetic model identification for chemical and biochemical systems. Chemical and Biochemical Engineering Quarterly 2004, 18(3):195-222.
    • (2004) Chemical and Biochemical Engineering Quarterly , vol.18 , Issue.3 , pp. 195-222
    • Maria, G.1
  • 15
    • 0002148026 scopus 로고    scopus 로고
    • Nonlinear model reduction for optimization based control of transient chemical processes.
    • In: Proceedings of the CPC VI. Tucson, Arizona,
    • Marquardt, W., 2001. Nonlinear model reduction for optimization based control of transient chemical processes. In: Proceedings of the CPC VI. Tucson, Arizona, pp. 30-60.
    • (2001) , pp. 30-60
    • Marquardt, W.1
  • 16
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: controllability, observability, and model reduction
    • Moore B. Principal component analysis in linear systems: controllability, observability, and model reduction. IEEE Transactions on Automatic Control 1981, 26(1):17-32.
    • (1981) IEEE Transactions on Automatic Control , vol.26 , Issue.1 , pp. 17-32
    • Moore, B.1
  • 17
    • 58049159161 scopus 로고    scopus 로고
    • Reduction of very large reaction mechanisms using methods based on simulation error minimization
    • Nagy T., Turanyi T. Reduction of very large reaction mechanisms using methods based on simulation error minimization. Combustion and Flame 2009, 156(2):417-428.
    • (2009) Combustion and Flame , vol.156 , Issue.2 , pp. 417-428
    • Nagy, T.1    Turanyi, T.2
  • 18
    • 0032025439 scopus 로고    scopus 로고
    • Simplification of mathematical models of chemical reaction systems
    • Okino M.S., Mavrovouniotis M.L. Simplification of mathematical models of chemical reaction systems. Chemical Reviews 1998, 98(2):391-408.
    • (1998) Chemical Reviews , vol.98 , Issue.2 , pp. 391-408
    • Okino, M.S.1    Mavrovouniotis, M.L.2
  • 21
    • 0842343715 scopus 로고    scopus 로고
    • Model reduction for compressible flows using POD and Galerkin projection
    • Rowley C.W., Colonius T., Murray R.M. Model reduction for compressible flows using POD and Galerkin projection. Nonlinear Phenomena 2004, 189(1-2):115-129.
    • (2004) Nonlinear Phenomena , vol.189 , Issue.1-2 , pp. 115-129
    • Rowley, C.W.1    Colonius, T.2    Murray, R.M.3
  • 24
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures. I-coherent structures
    • Sirovich L. Turbulence and the dynamics of coherent structures. I-coherent structures. Quarterly of Applied Mathematics 1987, 45:561-571.
    • (1987) Quarterly of Applied Mathematics , vol.45 , pp. 561-571
    • Sirovich, L.1
  • 25
  • 27
    • 0030955631 scopus 로고    scopus 로고
    • A detailed kinetic modeling study of aromatics formation in laminar premixed acetylene and ethylene flames
    • Wang H., Frenklach M. A detailed kinetic modeling study of aromatics formation in laminar premixed acetylene and ethylene flames. Combustion and Flame 1997, 110(1-2):173-221.
    • (1997) Combustion and Flame , vol.110 , Issue.1-2 , pp. 173-221
    • Wang, H.1    Frenklach, M.2
  • 28
    • 0036849510 scopus 로고    scopus 로고
    • Balanced model reduction via the proper orthogonal decomposition
    • Willcox K., Peraire J. Balanced model reduction via the proper orthogonal decomposition. AIAA Journal 2002, 40(11):2323-2330.
    • (2002) AIAA Journal , vol.40 , Issue.11 , pp. 2323-2330
    • Willcox, K.1    Peraire, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.