Title: An overview of the model reduction problem and some new results Speaker: Thanos Antoulas Abstract: In many applications one is faced with the task of simulating or controlling complex dynamical systems. Such applications include for instance, weather prediction, electronic system design, control of high-rise buildings, and many others. In all these cases complexity manifests itself as the number of first order differential equations which arise. For the above examples, depending on the level of modeling detail required, complexity may range anywhere from a few thousand to a few million first order equations, and above. Simulating (controlling) systems of such complexity becomes a challenging problem, irrespective of the computational resources available. In this talk we will first give a brief overview of the model reduction problem and will subsequently state two recent results which have application to electronic system design.