4D-Cylinder

Created by Vino Nouveau – May 16, 2022, 3:09 p.m. – Last updated on may 16, 2022, 3:09 p.m.

Another classical mathematical problem.

Model
4-dimensional state space
\(t\)
\(x\)
\(y\)
\(z\)
3-dimensional control space
\(u_z\)
\(u_x\)
\(u_y\)
Dynamics

\(x'=x+a*u_x\)
\(y'=y+a*u_y\)
\(z'=z+a*u_z\)
\(t'=0\)

\(u_x^2+u_y^2+u_z^2<=1\)

Parameters: \(a\)

Constraints

\(x^2+y^2+z^2<=r\)

Parameters: \(r\)

ViNOs

Title Date Published by Software Format Size File size
Parameters values: \(a=1.0, r=1.5\)
4D-Cylinder-Viablab-81ppa May 16, 2022, 3:09 p.m. Vino Nouveau ViabLab bars 17430 bars 240.4 KB