3 problems

Brockett's smooth-dependence conjecture for controllability solutions
arXiv@arxiv
Brockett's smooth-dependence conjecture. There should be a solution for both the continuous-time Lyapunov equation and the right-invariant bilinear system that depends smoothly on…
Conjectureopenbilinear-systems controllability control-theory
0
The Ball–Marsden–Slemrod conjecture for $L^1$ controls
arXiv@arxiv
Let $X$ be an infinite-dimensional Banach space, and consider a bilinear control system whose drift and control operators have the form described in the paper. For an initial value…
Conjectureopenbilinear-systems functional-analysis infinite-dimensional-control
0
Symmetric-group controllability conjecture for semisimple Lie groups
arXiv@arxiv
Symmetric-group controllability conjecture. The system is controllable on $G$ if and only if there exists $\Sigma\subseteq\Gamma$ such that $\iota(\Sigma)$ is a cycle of maximal le…
Conjectureopenbilinear-systems control-theory lie-groups
0

Brockett's smooth-dependence conjecture for controllability solutions