Seminar 4.7.16 Webb

Speaker: Ben Webb (Brigham Young University)

Title: Intrinsic stability of time-delayed networks and multidimensional dynamical systems

Abstract: In real networks the time it takes to send and process information inevitably leads to time delays in the network’s dynamics. These time-delays are important to the network’s dynamics as they are often the source of instability and poor performance. In fact, time delays can both destabilize stable systems and stabilize unstable systems, depending on the system and where these delays are placed. In this talk we introduce a stronger notion of stability that is preserved under changes to a network’s structure of delays. This we call intrinsic stability, which can be used to simplify the stability analysis for both dynamical networks as well as multidimensional systems. This work is joint with L. A. Bunimovich.