Switched systems and the logical foundation of circuit theory
arXiv:0812.2930
Abstract
Switched (singular) systems become very common, which requires some revision of the conceptual basis of system theory.
19 pages, 8 figures. The complete, initial version of a work submitted (in a much more contracted form) to a journal, with both scientific and pedagogical stresses. The given classification of dynamic equations is concerned with the system-theoretical concept of "input", and may be of interest even for a pure mathematician