36 citations · 76 across the 3 of their papers we have counts for
3 papers
math.NA2024★ 20 cited
Continuous-discrete derivative-free extended Kalman filter based on Euler-Maruyama and Itô-Taylor discretizations: Conventional and square-root implementations
Maria V. Kulikova, Gennady Yu. Kulikov
In this paper, we continue to study the derivative-free extended Kalman filtering (DF-EKF) framework for state estimation of continuous-discrete nonlinear stochastic systems. Havin…
math.OC2024★ 36 cited
SVD-based factored-form Cubature Kalman Filtering for continuous-time stochastic systems with discrete measurements
Maria V. Kulikova, Gennady Yu. Kulikov
In this paper, a singular value decomposition (SVD) approach is developed for implementing the cubature Kalman filter. The discussed estimator is one of the most popular and widely…
math.OC2024★ 20 cited
On derivative-free extended Kalman filtering and its Matlab-oriented square-root implementations for state estimation in continuous-discrete nonlinear stochastic systems
Maria V. Kulikova, Gennady Yu. Kulikov
Recent research in nonlinear filtering and signal processing has suggested an efficient derivative-free Extended Kalman filter (EKF) designed for discrete-time stochastic systems.…