2 problems

Let $\Sigma(A,[0,B_1])$ and $\Sigma(A,[0,B_2])$ denote the two linear systems associated with a bilinear system, and suppose that the bilinear system satisfies the hypothesis of Se…

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…