4 papers
On the finite energy classes of quaternionic plurisubharmonic functions
Thai Duong Do, Van Thien Nguyen
We investigate the finite -energy classes of quaternionic plurisubharmonic functions of Cegrell type. We also construct an example to show that the optimal constant in the…
Robust and Safe Autonomous Navigation for Systems with Learned SE(3) Hamiltonian Dynamics
Zhichao Li, Thai Duong, Nikolay Atanasov
Stability and safety are critical properties for successful deployment of automatic control systems. As a motivating example, consider autonomous mobile robot navigation in a compl…
On the weighted m-energy classes
Thai Duong Do, Van Thien Nguyen
In this article, we investigate the weighted subharmonic functions. We shall give some properties of this class and consider its relation to the Cegrell classes. We also pr…
Safe Autonomous Navigation for Systems with Learned SE(3) Hamiltonian Dynamics
Zhichao Li, Thai Duong, Nikolay Atanasov
Safe autonomous navigation in unknown environments is an important problem for mobile robots. This paper proposes techniques to learn the dynamics model of a mobile robot from traj…