9 citations · 17 across the 15 of their papers we have counts for
4 papers · 1 filter
Poisson Reduction of Controlled Hamiltonian System by Controllability Distribution
Tudor S. Ratiu, Hong Wang
In this paper, we first study the Poisson reductions of controlled Hamiltonian (CH) system and symmetric CH system by controllability distributions. These reductions are the extens…
Symmetric Reduction and Hamilton-Jacobi Equations of the Controlled Underwater Vehicle-Rotor System
Hong Wang
In this paper, we first give the regular point reduction and the two types of Hamilton-Jacobi equation for a regular controlled Hamiltonian (RCH) system with symmetry and momentum…
Hamilton-Jacobi Theorems for Regular Controlled Hamiltonian System and Its Reduced Systems
Hong Wang
In this paper, we give precisely the geometric constraint conditions of canonical symplectic form and regular reduced symplectic forms for the dynamical vector fields of a regular…
Hamilton-Jacobi Theorems for Regular Reducible Hamiltonian Systems on a Cotangent Bundle
Hong Wang
In this paper, some of formulations of Hamilton-Jacobi equations for Hamiltonian system and regular reduced Hamiltonian systems are given. At first, an important lemma is proved, a…