… a linearized relative motion model in rectilinear coordinates. The conclusion was that, when
… the Gauss variational equations (GVE) and Lagrange planetary equations (LPE), provides …

… , as we obtain unbiased filters that minimize the … coordinates or an extended Kalman filter.
The drawbacks associated with use of generalized coordinates and the extended Kalman filter …

… We use a low-dimensional Lagrangian representation of the flow field by tracking the …
Indeed, equation (3.14) constitutes a change of coordinates for the Kalman gain between the …

… A sparsity-aware Kalman filter is then proposed to estimate … introduce the sparsity promoting
Kalman filtering problem. Then, … In (8), the matrix is the dual variable or Lagrange multiplier …

… coordinates, while target measurements are directly available in the polar or spherical
coordinate… It can be solved by Lagrange multiplier technique [24]. The closed-form solutions of (15…

… , a methodology to design distributed Kalman filters by the spatial … that the correction step
of Kalmanfiltering is basically an … To proceed, we define the Lagrangian to solve the problem (…

… For the purpose of subsequent computation, we consider the coordinate system for the k-…
Introducing a k × k matrix Bmn of Lagrange multipliers, we form the following quantity …

… filters and as subcomponents of more powerful sequential Monte Carlo methods (particle
filters). … be gained by applying Sigma-Point Kalman filters to areas where EKFs have been used …

… constrained Kalman filtering by alternative perspectives, all of them remaining on the Lagrange
… (2.5), in this section it is assumed that some coordinates of the initial state vector 1 have …

… A Kalman filter used image coordinates to identify riser … An important contribution of this work
is the use of a linear Kalman filter … In the present article we use the Lagrangian formalism to …