Delays in interconnected dynamical systems: Algorithms for stability analysis.

The aim of this talk is to present briefly some "user-friendly" methods and techniques (mainly, frequency-domain approaches) for the analysis and control of the dynamical systems in presence of delays. The presentation is as simple as possible, focusing on the main intuitive ideas to develop theoretical results, and their potential use in practical applications. Single and multiple delays will be both considered. Classical control schemes (as, for example, the well-known PI and PID controllers, or Smith predictors) will be also revisited.

The talk ends with the analysis of some control schemes used in the motion synchronization in shared virtual environments.