3 problems

Existence of optimal solutions for the convex control problem
arXiv@arxiv
Let $A\in\mathbb{R}^{n \times n}$ , $B\in\mathbb{R}^{n \times m}$ , $T>0$ , $\beta\in\\{1,2,\dots,m-1\\}$ , and $\alpha_j\in(0,T]$ for $j=1,2,\dots,m$ , as in Problem … exist. The exist…
Conjectureopenoptimal-control sparse-control
0
Nowhere-denseness of targets producing non-multibang controls
arXiv@arxiv
Let targets be the data specifying the desired state in a control problem, and call an optimal control multibang if it takes values in a prescribed finite set of preferred control…
Conjectureopendifferential-equations optimal-control sparse-control
0
Dependence of the sparsity region on the product of the penalization parameters
arXiv@arxiv
Consider the infinite-horizon optimal control problem with sparsity parameters $\lambda$ and $\gamma$ , and let the sparsity region be the set of states where the optimal control is…
Conjectureopenoptimal-control sparse-control
1

Existence of optimal solutions for the convex control problem