ESE 5000 Linear Systems Theory
ESE 5000 Linear Systems Theory
[Course Catalog]This graduate-level course focuses on continuous and discrete n-dimensional linear control systems in a time domain based on linear operators. The course is structured around six modules which include a review of linear algebra, complete system response of linear systems with inputs and outputs (both time invariant and time varying), internal, Lyapunov and input-output stability notions and criteria, controllability and observability, control via state and output feedback, observer and estimator design, and the theory of linear quadratic regulator. TIme permitting we also discuss optimal state estimation and Kalman filtering.