Carnegie Mellon University

Electrical and Computer Engineering

College of Engineering

Course Information

18-771: Linear Systems

Units:

12

Description:

A modern approach to the analysis and engineering applications of linear systems. Modeling and linearization of multi-input-- multi-output dynamic physical systems. State-variable 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, eigenvalue-eigenvector and least-squares 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 state-variable feedback controller and asymptotic observer design. Design and computer applications to electronic circuits, control engineering, dynamics and signal processing. 4 hrs. lec. Pre-Reqs: 18-470 or 18-474 and Graduate standing in CIT or MCS.


Last Modified: 2023-04-13 12:12PM

Semesters offered:

  • Fall 2023
  • Fall 2022
  • Fall 2021
  • Fall 2020
  • Fall 2019
  • Fall 2018
  • Fall 2017
  • Spring 2017
  • Fall 2016
  • Fall 2015
  • Fall 2014
  • Fall 2013
  • Fall 2012
  • Fall 2011
  • Fall 2010
  • Fall 2009
  • Fall 2008
  • Fall 2007
  • Fall 2006
  • Spring 2006
  • Spring 2005
  • Spring 2004
  • Spring 2003
  • Spring 2002
  • Spring 2001