Malinen, Jarmo (Helsinki Univ. of Tech.), Staffans, Olof (Åbo Akademi)

Semigroups of Impedance Conservative Boundary Control Systems

Scheduled for presentation during the Regular Session "Linear Systems I" (TuP13), Tuesday, July 25, 2006, 17:00−17:25, Room 101

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 27, 2023

Abstract

The external Cayley transform is used for the conversion of linear dynamical systems between scattering and impedance forms. We study this transform in the formal setting of colligations which includes all impedance (energy) conservative boundary control systems. Practically motivated sufficient conditions are given to describe when such colligations have well-defined semigroups. We apply these results to a model problem, namely the transmission line equations. We explain how all this relates to the abstract boundary space construction for symmetric operators.