Course Schedule and Catalog

Long Title: DATA DRIVEN APPROXIMATION OF DYNAMICAL SYSTEMS

Department: Electrical & Computer Eng.

Grade Mode: Standard Letter

Language of Instruction: Taught in English

Course Type: Lecture

Credit Hours: 3

Description: Model reduction seeks to replace a large-scale system described in terms of differential or difference equations by a system of much lower dimension that has nearly the same response characteristics. Model (order) reduction (MOR) is commonly used in the simulation and control of complex physical process. The systems that inevitably arise in such cases are often too complex to meet the expediency requirements of interactive design, optimization, or real time control. MOR has been advised as a means to reduce the dimensionality of these complex systems to a level that is amendable to such requirements. The ensuing methods have been an indispensable tool for speeding up the simulations arising in various engineering applications involving large-scale dynamical systems. In this course we will develop the underlying approximation theory paying particular attention to its data-driven aspects.