4 citations · 5 across the 7 of their papers we have counts for
8 papers
From Hamilton-Jacobi-Bellman to Riccati via Carleman: The Scalar Case
Philip J. Elias, Qiyu Sun, Nader Motee
The Hamilton-Jacobi-Bellman (HJB) equation of a nonlinear system is a nonlinear partial differential equation, and in that form it gives little away. This paper shows that it hides…
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…
Carleman Linearization of Nonlinear Systems and Its Finite-Section Approximations
Arash Amini, Cong Zheng, Qiyu Sun +1
The Carleman linearization is one of the mainstream approaches to lift a finite-dimensional nonlinear dynamical system into an infinite-dimensional linear system with the promise o…
Koopman Performance Analysis of Nonlinear Consensus Networks
Hossein K. Mousavi, Christoforos Somarakis, Qiyu Sun +1
Spectral decomposition of dynamical systems is a popular methodology to investigate the fundamental qualitative and quantitative properties of these systems and their solutions. In…
Sparsity and Spatial Localization Measures for Spatially Distributed Systems
Nader Motee, Qiyu Sun
We consider the class of spatially decaying systems, where the underlying dynamics are spatially decaying and the sensing and controls are spatially distributed. This class of syst…