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Volumn 44, Issue 9, 2008, Pages 2422-2426

Rigorous parameter reconstruction for differential equations with noisy data

Author keywords

Interval analysis; Ordinary differential equations; Parameter estimation; Rigorous numerics

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); REPAIR; RESTORATION;

EID: 50049107824     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.01.032     Document Type: Article
Times cited : (23)

References (23)
  • 2
    • 0020103099 scopus 로고
    • On the value of information in system identification-bounded noise case
    • Fogel E., and Huang Y.F. On the value of information in system identification-bounded noise case. Automatica-Journal of IFAC 18 2 (1982) 229-238
    • (1982) Automatica-Journal of IFAC , vol.18 , Issue.2 , pp. 229-238
    • Fogel, E.1    Huang, Y.F.2
  • 4
    • 0036604583 scopus 로고    scopus 로고
    • Nonlinear bounded-error state estimation of continuous-time systems
    • Jaulin L. Nonlinear bounded-error state estimation of continuous-time systems. Automatica Journal of IFAC 38 6 (2002) 1079-1082
    • (2002) Automatica Journal of IFAC , vol.38 , Issue.6 , pp. 1079-1082
    • Jaulin, L.1
  • 6
    • 34047210346 scopus 로고    scopus 로고
    • Validated solutions of initial value problems for parametric ODEs
    • Lin Y., and Stadtherr M.A. Validated solutions of initial value problems for parametric ODEs. Applied Numerical Mathematics 57 10 (2007) 1145-1162
    • (2007) Applied Numerical Mathematics , vol.57 , Issue.10 , pp. 1145-1162
    • Lin, Y.1    Stadtherr, M.A.2
  • 7
    • 50049118165 scopus 로고    scopus 로고
    • Lohner, R. (1988). Einschließung der Lösung gewöhnlicher Anfangs- und Randwertaufgaben und Anwendungen. Ph.D. thesis. Universität Karlsruhe
    • Lohner, R. (1988). Einschließung der Lösung gewöhnlicher Anfangs- und Randwertaufgaben und Anwendungen. Ph.D. thesis. Universität Karlsruhe
  • 9
    • 0004293209 scopus 로고
    • Prentice-Hall, Englewood Cliffs, New Jersey
    • Moore R.E. Interval analysis (1966), Prentice-Hall, Englewood Cliffs, New Jersey
    • (1966) Interval analysis
    • Moore, R.E.1
  • 11
    • 0001723770 scopus 로고    scopus 로고
    • An interval Hermite-Obreschkoff method for computing rigorous bounds on the solution of an initial value problem for an ordinary differential equation
    • Nedialkov N.S., and Jackson K.R. An interval Hermite-Obreschkoff method for computing rigorous bounds on the solution of an initial value problem for an ordinary differential equation. Reliable Computing 5 3 (1999) 289-310
    • (1999) Reliable Computing , vol.5 , Issue.3 , pp. 289-310
    • Nedialkov, N.S.1    Jackson, K.R.2
  • 12
    • 0002265766 scopus 로고    scopus 로고
    • Validated solutions of initial value problems for ordinary differential equations
    • Nedialkov N.S., Jackson K.R., and Corliss G.F. Validated solutions of initial value problems for ordinary differential equations. Applied Mathematics and Computation 105 1 (1999) 21-68
    • (1999) Applied Mathematics and Computation , vol.105 , Issue.1 , pp. 21-68
    • Nedialkov, N.S.1    Jackson, K.R.2    Corliss, G.F.3
  • 13
    • 0035724114 scopus 로고    scopus 로고
    • An effective high-order interval method for validating existence and uniqueness of the solution of an IVP for an ODE
    • Nedialkov N.S., RJackson K., and Pryce J.D. An effective high-order interval method for validating existence and uniqueness of the solution of an IVP for an ODE. Reliable Computing 7 6 (2001) 449-465
    • (2001) Reliable Computing , vol.7 , Issue.6 , pp. 449-465
    • Nedialkov, N.S.1    RJackson, K.2    Pryce, J.D.3
  • 14
    • 50049117069 scopus 로고    scopus 로고
    • Nedialkov, N. S. VNODE-LP a validated solver for initial value problems in ordinary differential equations, available atwww.cas.mcmaster.ca/nedialk/Software/VNODE/VNODE.shtml
    • Nedialkov, N. S. VNODE-LP a validated solver for initial value problems in ordinary differential equations, available atwww.cas.mcmaster.ca/nedialk/Software/VNODE/VNODE.shtml
  • 16
    • 50049088343 scopus 로고    scopus 로고
    • PROFIL/BIAS, Available at www.ti3.tu-harburg.de/Software/PROFILEnglisch.html
    • PROFIL/BIAS, Available at www.ti3.tu-harburg.de/Software/PROFILEnglisch.html
  • 17
    • 3843074171 scopus 로고    scopus 로고
    • Set membership state and parameter estimation for systems described by nonlinear differential equations
    • Raïssi T., Ramdani N., and Candau Y. Set membership state and parameter estimation for systems described by nonlinear differential equations. Automatica 40 (2004) 1771-1777
    • (2004) Automatica , vol.40 , pp. 1771-1777
    • Raïssi, T.1    Ramdani, N.2    Candau, Y.3
  • 18
    • 13444249565 scopus 로고    scopus 로고
    • Bounded error moving horizon state estimator for non-linear continuous-time systems: Application to a bioprocess system
    • Raïssi T., Ramdani N., and Candau Y. Bounded error moving horizon state estimator for non-linear continuous-time systems: Application to a bioprocess system. Journal of Process Control 15 (2005) 537-545
    • (2005) Journal of Process Control , vol.15 , pp. 537-545
    • Raïssi, T.1    Ramdani, N.2    Candau, Y.3
  • 19
    • 0002913297 scopus 로고
    • Recursive state estimation: Unknown but bounded errors and system inputs
    • Schweppe F.C. Recursive state estimation: Unknown but bounded errors and system inputs. IEEE Transactions on Automatic Control 13 1 (1968) 22-28
    • (1968) IEEE Transactions on Automatic Control , vol.13 , Issue.1 , pp. 22-28
    • Schweppe, F.C.1
  • 20
    • 33746895132 scopus 로고    scopus 로고
    • Parameter reconstruction for biochemical networks using interval analysis
    • Tucker W., and Moulton V. Parameter reconstruction for biochemical networks using interval analysis. Reliable Computing 12 5 (2006) 389-402
    • (2006) Reliable Computing , vol.12 , Issue.5 , pp. 389-402
    • Tucker, W.1    Moulton, V.2
  • 21
    • 34547118379 scopus 로고    scopus 로고
    • Estimating parameters for generalized mass action models using constraint propagation
    • Tucker W., Kutalik Z., and Moulton V. Estimating parameters for generalized mass action models using constraint propagation. Mathematical Biosciences 208 (2007) 607-620
    • (2007) Mathematical Biosciences , vol.208 , pp. 607-620
    • Tucker, W.1    Kutalik, Z.2    Moulton, V.3
  • 22
    • 33847342464 scopus 로고    scopus 로고
    • Parameter range reduction for ODE models using cumulative backward differentiation formulas
    • Willms A.R. Parameter range reduction for ODE models using cumulative backward differentiation formulas. Journal of Computational and Applied Mathematics 203 1 (2007) 87-102
    • (2007) Journal of Computational and Applied Mathematics , vol.203 , Issue.1 , pp. 87-102
    • Willms, A.R.1
  • 23
    • 33749666077 scopus 로고    scopus 로고
    • Guaranteed nonlinear parameter estimation in knowledge-based models
    • Walter E., and Kieffer M. Guaranteed nonlinear parameter estimation in knowledge-based models. Journal of Computational and Applied Mathematics 199 2 (2007) 277-285
    • (2007) Journal of Computational and Applied Mathematics , vol.199 , Issue.2 , pp. 277-285
    • Walter, E.1    Kieffer, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.