메뉴 건너뛰기




Volumn 7, Issue 3, 1997, Pages 293-308

A Powerful Numerical Technique Solving Zakai Equation for Nonlinear Filtering

Author keywords

Galekin approximation; Gaussian series; Measurement residual; Nonlinear filtering; Zakai equation

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION;

EID: 0031177628     PISSN: 09254668     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008206719489     Document Type: Article
Times cited : (20)

References (19)
  • 1
    • 0041596087 scopus 로고
    • Nonlinear filtering: The exact dynamical equations satisfied by the conditional modes
    • Kushner, H. J., "Nonlinear filtering: the exact dynamical equations satisfied by the conditional modes," IEEE Trans. Aut. Contr., vol. 12, pp. 262-267, 1967.
    • (1967) IEEE Trans. Aut. Contr. , vol.12 , pp. 262-267
    • Kushner, H.J.1
  • 2
    • 84937998663 scopus 로고
    • Nonlinear filtering theory
    • Bucy, R. S., "Nonlinear filtering theory," IEEE Trans. Aut. Contr., vol. 10, pp. 198-212, 1965.
    • (1965) IEEE Trans. Aut. Contr. , vol.10 , pp. 198-212
    • Bucy, R.S.1
  • 4
    • 0001702452 scopus 로고
    • On the optimal filtering of diffusion processes
    • Verw. Geb.
    • Zakai, M., "On the optimal filtering of diffusion processes," Z. Wahrsch., Verw. Geb. 11, pp. 230-243, 1969.
    • (1969) Z. Wahrsch. , vol.11 , pp. 230-243
    • Zakai, M.1
  • 6
    • 0020735138 scopus 로고
    • Maximum principle and dynamic programing approaches to the optimal control of partially observed diffusion
    • Bensoussan, A., "Maximum principle and dynamic programing approaches to the optimal control of partially observed diffusion," Stochastics, vol. 9, pp. 169-222, 1983.
    • (1983) Stochastics , vol.9 , pp. 169-222
    • Bensoussan, A.1
  • 8
    • 0019903312 scopus 로고
    • On Lie algebra and finite dimensional filtering
    • Hazewinkel, H., "On Lie algebra and finite dimensional filtering," Stochastics, vol. 7, pp. 29-62, 1982.
    • (1982) Stochastics , vol.7 , pp. 29-62
    • Hazewinkel, H.1
  • 9
    • 0019559476 scopus 로고
    • Edgeworth expansions in state perturbation estimation
    • Willman, W. W., "Edgeworth expansions in state perturbation estimation," IEEE Trans. on Aut. Contr., vol. AC-26, pp. 493-498, 1981.
    • (1981) IEEE Trans. on Aut. Contr. , vol.AC-26 , pp. 493-498
    • Willman, W.W.1
  • 12
    • 0018768309 scopus 로고
    • Stochastic partial differential equations and filtering of diffusion processes
    • Pardoux, E., "Stochastic partial differential equations and filtering of diffusion processes," Stochastics, vol. 3, pp. 127-167, 1979.
    • (1979) Stochastics , vol.3 , pp. 127-167
    • Pardoux, E.1
  • 15
    • 0003931109 scopus 로고
    • Interscience Publishers Inc.: New York
    • Tricomi, F. G., Integral Equations, Interscience Publishers Inc.: New York, 1957.
    • (1957) Integral Equations
    • Tricomi, F.G.1
  • 16
    • 0000575447 scopus 로고
    • On convergence of ordinary integral to stochastic integral
    • Wong, E., and Zakai, M., "On convergence of ordinary integral to stochastic integral," Ann. Math., vol. 36, pp. 1560-1564, 1965.
    • (1965) Ann. Math. , vol.36 , pp. 1560-1564
    • Wong, E.1    Zakai, M.2
  • 19
    • 0019660565 scopus 로고
    • Exact finite dimensional filter for certain diffusions with nonlinear drift
    • Beneš, V. E., "Exact finite dimensional filter for certain diffusions with nonlinear drift," Stochastics, vol. 5, pp. 65-92, 1981.
    • (1981) Stochastics , vol.5 , pp. 65-92
    • Beneš, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.