On controllability, observability and stabilizability of the heat equation on discrete graphs

Florentin Münch, Christian Seifert, Peter Stollmann +1

We consider linear control problems for the heat equation of the form $\dot{f}(t)=-Hf(t)+1_{D}u(t)$, $f(0)\in {\ell }_2(X,m)$, where $H$ is the weighted Laplacian on…