Boundary control state/signal systems and boundary triplets (Q2849106)

The authors of the paper under review briefly discuss the connections between standard input/state/output boundary control systems and the boundary control state/signal systems, and illustrate the abstract concepts using the example of a finite-length conservative \(\mathcal{LC}\)-transmission line with distributed impedance and capacitance. They consider boundary triplets and show that every one of them can be transformed into a conservative boundary control state/signal system of impedance form; however, the converse is not true, which the authors prove by giving an appropriate example.NEWLINENEWLINEFor the entire collection see [Zbl 1269.47001].