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Volumn , Issue , 2008, Pages 4867-4872

Balancing of partially-observed stochastic differential equations

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; HAMILTONIANS; MOLECULAR DYNAMICS; STOCHASTIC SYSTEMS;

EID: 62949246371     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4739161     Document Type: Conference Paper
Times cited : (8)

References (19)
  • 1
    • 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. Auto. Contr. AC-26(1):17-32, 1981.
    • (1981) IEEE Trans. Auto. Contr , vol.AC-26 , Issue.1 , pp. 17-32
    • Moore, B.C.1
  • 3
    • 0000395295 scopus 로고
    • On the support of diffusion processes with applications to the strong maximum principle
    • D.W. Stroock and S.R.S. Varadhan. On the support of diffusion processes with applications to the strong maximum principle. Proc. Sixth Berkeley Symp. Math. Statist. Prob. 3: 333-359, 1972.
    • (1972) Proc. Sixth Berkeley Symp. Math. Statist. Prob , vol.3 , pp. 333-359
    • Stroock, D.W.1    Varadhan, S.R.S.2
  • 4
    • 84990727081 scopus 로고
    • The rate function of hypoelliptic diffusions
    • G.B. Arous and J.-D. Deuschel. The rate function of hypoelliptic diffusions.Comm. Pure Appl. Math. 47:843-860, 1994.
    • (1994) Comm. Pure Appl. Math , vol.47 , pp. 843-860
    • Arous, G.B.1    Deuschel, J.-D.2
  • 5
    • 0033147724 scopus 로고    scopus 로고
    • Martingale problems for large deviations of Markov processes
    • J. Feng. Martingale problems for large deviations of Markov processes. Stochastic Process. Appl. 81:165-216. 1999.
    • (1999) Stochastic Process. Appl , vol.81 , pp. 165-216
    • Feng, J.1
  • 6
    • 62949104431 scopus 로고    scopus 로고
    • C. Hartmann, V.-M. Vulcanov, and Ch. Schütte. Balanced truncation of linear second-order systems: A Hamiltonian approach, submitted to Mult. Mod. Sim., 2007.
    • C. Hartmann, V.-M. Vulcanov, and Ch. Schütte. Balanced truncation of linear second-order systems: A Hamiltonian approach, submitted to Mult. Mod. Sim., 2007.
  • 7
    • 62949109406 scopus 로고    scopus 로고
    • B. Øksendal. Stochastic differential equations : an introduction with applications. Springer, 2003.
    • B. Øksendal. Stochastic differential equations : an introduction with applications. Springer, 2003.
  • 8
    • 38349056191 scopus 로고    scopus 로고
    • Dissertation thesis, Freie Universität Berlin, available via
    • C. Hartmann. Model Reduction in Classical Molecular Dynamics. Dissertation thesis, Freie Universität Berlin, 2007, available via http://www.diss.fu-berlin.de/2007/458.
    • (2007) Model Reduction in Classical Molecular Dynamics
    • Hartmann, C.1
  • 9
    • 84990716831 scopus 로고
    • Stability theory for dissipatively perturbed Hamiltonian systems
    • J.H. Maddocks and M.L. Overton. Stability theory for dissipatively perturbed Hamiltonian systems. Comm. Pure Appl. Math. 48: 583-610, 1995.
    • (1995) Comm. Pure Appl. Math , vol.48 , pp. 583-610
    • Maddocks, J.H.1    Overton, M.L.2
  • 10
    • 0036789329 scopus 로고    scopus 로고
    • Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise
    • J.C. Mattingly, A.M. Stuart, and D.J. Higham. Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise. Stochastic Process. Appl., 101(2):185-232, 2002.
    • (2002) Stochastic Process. Appl , vol.101 , Issue.2 , pp. 185-232
    • Mattingly, J.C.1    Stuart, A.M.2    Higham, D.J.3
  • 11
    • 0027641967 scopus 로고
    • Balancing for nonlinear systems
    • J.M.A. Scherpen. Balancing for nonlinear systems. System & Control Letters 21:143-153, 1993.
    • (1993) System & Control Letters , vol.21 , pp. 143-153
    • Scherpen, J.M.A.1
  • 15
    • 62949148814 scopus 로고    scopus 로고
    • Structure-preserving model reduction of partially observed differential equations: Molecular dynamics and beyond
    • 33-37
    • C. Hartmann. Structure-preserving model reduction of partially observed differential equations: molecular dynamics and beyond. Oberwolfach Reports 21: 33-37, 2008.
    • (2008) Oberwolfach Reports , vol.21
    • Hartmann, C.1
  • 16
    • 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. on Bifurcation and Chaos 53):997-1013, 2005.
    • (2005) Int. J. on Bifurcation and Chaos , vol.53 , pp. 997-1013
    • Rowley, C.W.1
  • 17
    • 0036566376 scopus 로고    scopus 로고
    • A subspace approach to balanced truncation for model reduction of nonlinear control systems
    • S. Lall, J.E. Marsden, and S. Glavaši. A subspace approach to balanced truncation for model reduction of nonlinear control systems. Int. J. Robust Nonlin. Control 12: 519-535, 2002.
    • (2002) Int. J. Robust Nonlin. Control , vol.12 , pp. 519-535
    • Lall, S.1    Marsden, J.E.2    Glavaši, S.3
  • 19
    • 55149108337 scopus 로고    scopus 로고
    • Likelihood-based estimation of multidimensional Langevin models and its application to biomolecular dynamics
    • I. Horenko and Ch. Schütte. Likelihood-based estimation of multidimensional Langevin models and its application to biomolecular dynamics.To appear in Mult. Mod. Sim., 2008.
    • (2008) To appear in Mult. Mod. Sim
    • Horenko, I.1    Schütte, C.2


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