Feedback Stabilization and motion synchronization of systems with time-delay in the communication network

This paper is dedicated to the stabilization problem of dynamical systems in the presence of variable time-delay in the communication channel which is handled at the discretization stage by means of a guaranteed uncertainty approximation technique. In this context, the proposed stabilization methodology will be based on a Lyapunov-Krasovskii candidate leading finally to Linear Matrix Inequalities formulations for the controller synthesis. The motion synchronization control of two interconnected subsystems linked by a network is considered a possible application of these techniques.