… 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 …

… -based Ensemble Kalman Filter method … Kalman Filter that provides prediction of the
depth-averaged ocean currents in a domain, combining the Eulerian flow map with the Lagrangian …

… 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…

… 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 …

… ) model can be formulated and solved accurately and efficiently in Lagrangian coordinates.
In Lagrangian coordinates, disturbances move along one direction instead of two directions …

… However, unlike the traditional Kalman filter, the PLKF … into the Kalman filter to construct the
state-constrained Kalman filter [28] is … the power spectral densities of w k in two coordinates. …

… methodologies: the extended Kalman filter, the unscented Kalman filter and the ensemble …
now given by means of a penalized Lagrangian approach to incorporate the property that the …

… based on the network of emitters with known coordinates, such as WiFi, Bluetooth, and ultra…
Lagrange multiplier method can be used to realize constrained optimization. The Lagrangian …