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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…
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…