Semigroups of Impedance Conservative Boundary Control Systems
نویسندگان
چکیده
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.
منابع مشابه
Impedance Passive and Conservative Boundary Control Systems
The external Cayley transform is used for the conversion between the linear dynamical systems in scattering form and in impedance form. We use this transform to define a class of formal impedance conservative boundary control systems (colligations), without assuming a priori that the associated Cauchy problems are solvable. We give sufficient and necessary conditions when impedance conservative...
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