1 citations · 2 across the 5 of their papers we have counts for
5 papers
Continuation Method with the Trusty Time-stepping Scheme for Linearly Constrained Optimization with Noisy Data
Xin-long Luo, Jia-hui Lv, Geng Sun
The nonlinear optimization problem with linear constraints has many applications in engineering fields such as the visual-inertial navigation and localization of an unmanned aerial…
A Visual-inertial Navigation Method for High-Speed Unmanned Aerial Vehicles
Xin-long Luo, Jia-hui Lv, Geng Sun
This paper investigates the localization problem of high-speed high-altitude unmanned aerial vehicle (UAV) with a monocular camera and inertial navigation system. It proposes a nav…
Symplectic Geometric Methods for Matrix Differential Equations Arising from Inertial Navigation Problems
Xin-Long Luo, Geng Sun
This article explores some geometric and algebraic properties of the dynamical system which is represented by matrix differential equations arising from inertial navigation problem…
Symmetric-adjoint and symplectic-adjoint methods and their applications
Geng Sun, Siqing Gan, Hongyu Liu +1
Symmetric method and symplectic method are classical notions in the theory of Runge-Kutta methods. They can generate numerical flows that respectively preserve the symmetry and sym…
Preservation of stability properties near fixed points of linear hamiltonian systems by symplectic integrators
Xiaohua Ding, Hongyu Liu, Zaijiu Shang +2
Based on reasonable testing model problems, we study the preservation by symplectic Runge-Kutta method (SRK) and symplectic partitioned Runge-Kutta method (SPRK) of structures for…