Abstract
This paper considers the impulsive behavior of a switching system interconnection described by the implicit representation. The switching interconnection consists of two system interconnections which are switched at a certain instant. We define the concatenability of the behaviors of these interconnections, and derive a necessary and sufficient condition for this concatenability. If the behaviors are concatenable, then every trajectory before the switching instant can be switched to an appropriate trajectory without causing any impulses. Moreover, the regular feedback structure of the interconnection after the switching instant guarantees that the concatenability condition is always satisfied.
