Linear State Space Systems

Host University

University of Virginia


Fall 2022

Course Number

MAE 6620


Mechanical and Aerospace Engineering


 Gang Tao

Course Information

A comprehensive treatment of the theory of linear state space systems, focusing on general results which provide a conceptual framework as well as analysis tools for investigation in a wide variety of engineering contexts. Topics include vector spaces, linear operators, functions of matrices, state space description, solutions to state equations (time invariant and time varying), state transition matrices, system modes and decomposition, stability, controllability and observability, Kalman decomposition, system realizations, grammians and model reduction, state feedback, and observers. Cross-listed as SYS 6012 and ECE 6852.


Graduate standing