메뉴 건너뛰기




Volumn 36, Issue 5, 1998, Pages 1618-1637

Robustness of nonlinear filters over the infinite time interval

Author keywords

Asymptotic stability; Birkhoff's contraction coefficient; Hubert metric; Model robustness; Nonlinear filtering

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL THEORY; ERRORS; MARKOV PROCESSES; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS); SENSITIVITY ANALYSIS; STOCHASTIC CONTROL SYSTEMS; WHITE NOISE;

EID: 0032166438     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012997318481     Document Type: Article
Times cited : (23)

References (13)
  • 1
    • 0030833508 scopus 로고    scopus 로고
    • Lyapunov exponents for finite state nonlinear filtering
    • R. ATAR AND O. ZEITOUNI, Lyapunov exponents for finite state nonlinear filtering, SIAM J. Control Optim., (1996).
    • (1996) SIAM J. Control Optim.
    • Atar, R.1    Zeitouni, O.2
  • 5
    • 0031139499 scopus 로고    scopus 로고
    • Exponential stability of discrete time filters without signal ergodicity
    • A. BUDHIRAJA AND D. OCONE, Exponential stability of discrete time filters without signal ergodicity, Systems Control Lett., 30 (1997), pp. 185-193.
    • (1997) Systems Control Lett. , vol.30 , pp. 185-193
    • Budhiraja, A.1    Ocone, D.2
  • 6
    • 0002210840 scopus 로고
    • Lyapunov exponents for filtering problems
    • M.H.A. Davis and R.J. Elliot, eds., Gordon and Breach, New York
    • B. DELYON AND O. ZEITOUNI, Lyapunov exponents for filtering problems, in Applied Stochastic Analysis, M.H.A. Davis and R.J. Elliot, eds., Gordon and Breach, New York, 1991, pp. 511-521.
    • (1991) Applied Stochastic Analysis , pp. 511-521
    • Delyon, B.1    Zeitouni, O.2
  • 7
    • 0001442283 scopus 로고
    • Asymptotic behavior of the nonlinear filtering errors of Markov processes
    • H. KUNITA, Asymptotic behavior of the nonlinear filtering errors of Markov processes, J. Multivariate Anal., 1 (1971), pp. 365-393.
    • (1971) J. Multivariate Anal. , vol.1 , pp. 365-393
    • Kunita, H.1
  • 8
    • 0342611595 scopus 로고
    • Approximate and limit results for nonlinear filters with wide bandwidth observation noise
    • H. KUSHNER AND H. HUANG, Approximate and limit results for nonlinear filters with wide bandwidth observation noise, Stochastics, 16 (1986), pp. 65-96.
    • (1986) Stochastics , vol.16 , pp. 65-96
    • Kushner, H.1    Huang, H.2
  • 10
    • 0000345142 scopus 로고
    • Decay of correlations
    • C. LIVERANI, Decay of correlations, Ann. Math., 142 (1995), pp. 239-301.
    • (1995) Ann. Math. , vol.142 , pp. 239-301
    • Liverani, C.1
  • 11
    • 0029760763 scopus 로고    scopus 로고
    • Asymptotic stability of the optimal filter with respect to its initial condition
    • D. OCONE AND E. PARDOUX, Asymptotic stability of the optimal filter with respect to its initial condition, SIAM J. Control Optim., 34 (1996), pp. 226-243.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 226-243
    • Ocone, D.1    Pardoux, E.2
  • 12
    • 0000744184 scopus 로고
    • On invariant measures of filtering processes
    • Stochastic Differential Systems, Lecture Notes in Control and Inform Sci., K. Helmes, N. Christopeit, and M. Kohlmann, eds., 1989
    • L. STETTNER, On invariant measures of filtering processes, in Stochastic Differential Systems, Proc. 4th Bad Honnef Conf., 1988, Lecture Notes in Control and Inform Sci., K. Helmes, N. Christopeit, and M. Kohlmann, eds., 1989, pp. 279-292.
    • (1988) Proc. 4th Bad Honnef Conf. , pp. 279-292
    • Stettner, L.1
  • 13
    • 0000936027 scopus 로고
    • Invariant measures of pair: State, approximate filtering process
    • L. STETTNER, Invariant measures of pair: State, approximate filtering process, Colloq. Math. LXII, (1991), pp. 347-352.
    • (1991) Colloq. Math. , vol.62 , pp. 347-352
    • Stettner, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.