5 problems

Let $u_b$ denote the upper control bound, and consider the optimal controls for the bang-bang control problem studied in the paper. Bang-bang control conjecture. Optimal controls a…

Let $K$ be the carrying-capacity function and let the admissible fishing strategies be constrained by requiring that the $L^1$ distance from $K$ to the admissible controls is small…

Bang-bang feedback control conjecture. The optimal feedback control is

Let $\Omega$ be a general domain, let $\mu>0$, and let $\mathcal M_{m_0,\kappa}(\Omega)$ be the admissible class of resource distributions with prescribed average and pointwise bou…

The control takes values $\a$ and $A$, where $a$ and $A$ are the minimal and maximal admissible control rates, respectively. The constant control $\alpha^*$ is the optimal constant…