On inter-sampling times for event-triggered large-scale linear systems

We consider the problem of stabilizing large-scale linear systems by distributed controllers, where the controllers exchange information via a shared limited communication medium. A small-gain approach for the design of stabilizing event-triggering schemes is discussed in this context. Using the line of thought that was recently used in the definition of parsimonious triggering, we derive lower bounds on the inter-sampling times associated to such event-triggering schemes.