Overview

Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Interpolatory methods are among the most widely used model reduction techniques, and Interpolatory Methods for Model Reduction is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks. This textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.

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9781611976076

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Athanasios C. Antoulas is a professor in the Department of Electrical and Computing Engineering at Rice University. He is a fellow of the Max-Planck Society, a fellow of the IEEE, and an adjunct professor of molecular and cellular biology at the Baylor College of Medicine. Christopher Beattie is a professor in the Department of Mathematics and in the Division of Computational Modeling and Data Analytics at Virginia Tech. Serkan Gugercin is the Class of 1950 Professor of Mathematics, deputy director of the Division of Computational Modeling and Data Analytics, and an affiliated faculty in the Department of Mechanical Engineering at Virginia Tech.

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