Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Discrete-Time Minimum Tracking Based on Stochastic Approximation Algorithm With Randomized Differences. / Granichin, O.; Gurevich, L.; Vakhitov, A.
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009). IEEE Canada, 2009. p. 5763-5767 (Proceedings of the IEEE Conference on Decision and Control).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Discrete-Time Minimum Tracking Based on Stochastic Approximation Algorithm With Randomized Differences
AU - Granichin, O.
AU - Gurevich, L.
AU - Vakhitov, A.
PY - 2009
Y1 - 2009
N2 - In this paper application of the stochastic approximation algorithm with randomized differences to the minimum tracking problem for the non-constrained optimization is considered. The upper bound of mean-squared estimation error is derived in the case of once differentiable functional and almost arbitrary observation noise. Numerical simulation of the estimates stabilization for the multidimensional optimization with unknown but bounded deterministic noise is provided. Stabilization bound has sufficiently small level comparing to significant level of noise.
AB - In this paper application of the stochastic approximation algorithm with randomized differences to the minimum tracking problem for the non-constrained optimization is considered. The upper bound of mean-squared estimation error is derived in the case of once differentiable functional and almost arbitrary observation noise. Numerical simulation of the estimates stabilization for the multidimensional optimization with unknown but bounded deterministic noise is provided. Stabilization bound has sufficiently small level comparing to significant level of noise.
KW - NOISE
U2 - 10.1109/CDC.2009.5400839
DO - 10.1109/CDC.2009.5400839
M3 - статья в сборнике материалов конференции
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 5763
EP - 5767
BT - PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009)
PB - IEEE Canada
Y2 - 15 December 2009 through 18 December 2009
ER -
ID: 74014650