event
Tuesday 08 Feb 2022: Deterministic & stochastic contraction theory and their applications on network systems
Zahra Aminzare - University of Iowa
https://Universityofexeter.zoom.us/j/98128535238?pwd=b1NNR1MwV295VHRWWFh4b1NDTjJoZz09 Meeting ID: 981 2853 5238 Password: 561487 13:30-14:30
Contraction theory is a methodology for assessing the global convergence of trajectories of a dynamical system to each other instead of convergence to a pre-specified attractor. The choice of an appropriate norm is crucial for characterizing a contractive system. In this talk, I first review contraction theory for deterministic systems, and motivated by an elementary biochemical model, I will discuss the need for non-Euclidean norms. Then, I generalize the theory to Itô stochastic differential equations and show how noise can induce contractivity. Finally, I apply the theory to diffusively coupled systems and provide sufficient conditions for network synchronization.
