… 2 as generalized coordinates, the Lagrange equations lead … the corresponding algorithm for
a Kalman Filter that is used to … original formulation of the Kalman Filter. The characterization …

… to minimal coordinates is employed. The resulting equations are then exploited in an extended
Kalman filter where … In general, a system can be described by the Lagrange equations: …

… We propose a novel framework to integrate a Kalman filter (KF) with spatial-temporal
regularized correlation filters (… We can then formulate the augmented Lagrangian form of (1) as …

… Kalman Filter (SKF), a natural extension of the Kalman Filter and Extended Kalman Filter to
… Away from hybrid events, the SKF is a standard Kalman filter. When a hybrid event occurs, …

… The proposed Kalman Filter allows for exact constraint … : (i) elimination of the Lagrange
multipliers from the system state via a … coordinates after correction of the independent coordinates …

… Kalman filter (UKF) to predict the human motion based on future human dynamics.
Specifically, we focus on human arm motion, and apply RNN and Lagrangian … coordinates of q, …

… the Lagrange equation with generalized coordinates. Scholars have explored various coordinate
… Recent advancements have introduced the transient coordinate system to tackle issues …

… with the Lagrange multipliers … coordinates vector, λ ∈ R n λ is known as Lagrange multipliers
and u ∈ R n u is the input vector. Through the definition of the assembled body coordinates …

… the right-handed coordinate system by pointing down in … Lagrange function of the system
is L = T − P , where the motion of the system can be determined with the help of the Lagrange …

… contact forces when the lateral coordinates and velocities are zero. These matrices and
vectors are obtained using symbolic computation: Lagrange Equations are used to find the inertia…