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 intersampling times associated to such event-triggering schemes. © 2013 IEEE.