4 papers
Beyond Carleman Linearization of Nonlinear Dynamical System: Insights from a Case Study
Panpan Chen, Nader Motee, Qiyu Sun
Nonlinear dynamical systems are widely encountered in various scientific and engineering fields. Despite significant advances in theoretical understanding, developing complete and…
Carleman-Fourier linearization of nonlinear real dynamical systems with quasi-periodic fields
Nader Motee, Qiyu Sun
This paper presents Carleman-Fourier linearization for analyzing nonlinear real dynamical systems with periodic vector fields. Using Fourier basis functions, this novel framework t…
Carleman-Fourier Linearization of Complex Dynamical Systems: Convergence and Explicit Error Bounds
Panpan Chen, Nader Motee, Qiyu Sun
This paper presents a Carleman-Fourier linearization method for nonlinear dynamical systems with periodic vector fields involving multiple fundamental frequencies. By employing Fou…
Scalable Networked Feature Selection with Randomized Algorithm for Robot Navigation
Vivek Pandey, Arash Amini, Guangyi Liu +4
We address the problem of sparse selection of visual features for localizing a team of robots navigating an unknown environment, where robots can exchange relative position measure…