18-771 Linear Systems

12 units, Carnegie Mellon University

A modern approach to the analysis and engineering applications of linear systems. Modeling and linearization of multiinput multioutput dynamic physical systems. Statevariable and transfer function matrices. Emphasis on linear and matrix algebra. Numerical matrix algebra and computational issues in solving systems of linear algebraic equations, singular value decomposition, eigenvalueeigenvector and leastsquares problems. Analytical and numerical solutions of systems of differential and difference equations. Structural properties of linear dynamic physical systems, including controllability, observability and stability. Canonical realizations, linear statevariable feedback controller and asymptotic observer design. Design and computer applications to electronic circuits, control engineering, dynamics and signal processing. 4 hrs. lec. PreReqs 18470 or 18474 and Graduate standing in CIT or MCS.

Prerequisites: 18-370 (min C) or 18-474 (min C)

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