Yannis G. Kevrekidis
Princeton University
Abstract: I will discuss two aspects of the nonlinear dynamics of closed loop systems. The first comes from discrete-time adaptive control, and the main issue is the noninvertible (in time) behavior of the evolution of the system and its effects on the types of bifurcations observed. The second comes from the control of distributed systems, and the issue is the use of model reduction methodologies (such as empirical eigenfunctions) as a first step in controller design. A number of computational examples will be discussed, as well as a simple experiment.