… Kalman filter to an under-actuated nonlinear system is proposed. The theory of the Kalman
filter … [3], andfocusing our interest relative to the Lagrangian coordinate φ(the sway angle), in …

… For example, the Lagrangian of the system can be used so that the generalized coordinates
are selected as r, l, and θ: the trolley displacement, the cable length, and the sway angle of …

… In online closed-loop control, the ARX model parameters are feedback corrected by
using the Extended Kalman Filter (EKF) algorithm; and the corresponding ARX-based MPC …

… This paper proposes a new reduced-order nonlinear Kalman filter to emulate nonlinear
behaviors of biological deformable tissues. This approach defines the deformable modelling …

… electromagnetic interferences, we use the Extended Kalman Filter (EKF) by incorporating the
… The Lagrange equations stay invariant related to all the generalized coordinates used [23]. …

This paper derives the limit of the Kalman filter and smoother as the inverse of the process …
Two forms of the filter in the limit are derived with the second being a standard Kalman filter …

… For this purpose, we can write down the Lagrangian function associated with the cost
function in Eq. (24) and Eqs. (1) and (2) that describe the behavior of the dynamical system: …

… For example, in [9], an augmented Lagrangian formulation of index 3 (ALI3P) using
natural coordinates is employed. Meanwhile, in [10], the multibody model is based on a semi-…

… The Kalman filter (Kalman Citation1960) has been applied extensively in the area … Kalman
filter is derived as either a best predictor (BP) or a best linear predictor (BLP), see eg Kalman (…

… This study presents a novel application of the ensemble Kalman filter (EnKF, Evensen, 2003)
used to assimilate satellitebased SIC and SIT data in the Lagrangian neXt generation Sea …