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EC EN
773

Linear System Theory

Hours

3.0 Credit, 3 Lecture, 0 Lab
Mathematical introduction to time-varying linear systems; state space descriptions, controllability, observability, Lyapunov stability, observer-based control. Design of linear quadratic regulators and infinite-horizon Kalman filters.

1.

The ability to represent multiple-input, multiple-output linear time-invariant systems using state space model and transfer matrices.

2

The ability to analyze stability properties of MIMO linear systems including internal stability, and input-output stability.

3

The ability to analyze the controllability and observability properties of MIMO linear systems.

4

The ability to design LQR/LQG/LTR controllers for MIMO time-invariant linear systems, and to understand the resulting properties.