2 citations · 3 across the 5 of their papers we have counts for
5 papers
Data-Driven optimal control via Koopman operators and Hamilton-Jacobi-Bellman equations
Guuyuan Chen, Gaosheng Zhu
This paper presents a data-driven stable manifold (DD-SM) method, which integrates Koopman operator representation learning with the geometric stable manifold approach to Hamilton-…
The minimal periodic solutions for superquadratic autonomous Hamiltonian systems without the Palais-Smale condition
Yuming Xiao, Gaosheng Zhu
In this paper, we prove the existence of periodic solutions with any prescribed minimal period for even second order Hamiltonian systems and convex first order Hamiltonian sy…
Morse index and Maslov-type index of the discrete Hamiltonian system
Gaosheng Zhu
In this paper, we give the definition of Maslov-type index of the discrete Hamiltonian system, and obtain the relation of Morse index and Maslov-type index of the discrete Hamilton…
Symplectic algorithms for stable manifolds in control theory
Guoyuan Chen, Gaosheng Zhu
In this note, we propose a symplectic algorithm for the stable manifolds of the Hamilton-Jacobi equations combined with an iterative procedure in [Sakamoto-van~der Schaft, IEEE Tra…
A Positive Solution for a Nonlocal Schrödinger Equation
Yongchao Zhang, Gaosheng Zhu
We provide an existence result of radially symmetric, positive, classical solutions for a nonlinear Schrödinger equation driven by the infinitesimal generator of a rotationally inv…