ECE 6210
Theory of Linear Systems
State-space and multi-input-multi-output linear systems in discrete and continuous time. The state transition matrix, the matrix exponential, and the Cayley-Hamilton theorem. Controllability, observability, stability, realization theory. At the level of Linear Systems by Kailath.
Topics
- Students will have an ability to develop state space models of dynamic linear systems in continuous time and discrete time based on physics models, input/output models, or rudimentary input/output experimental data.
- An ability to determine whether a system is controllable or observable.
- An ability to design stable state observers using pole placement.
- An ability to design stable full-state feedback controllers and observer-based controllers using pole placement.
- An ability to analyze system stability using pole locations and using the Lyapunov equation.
Official roster learning outcomes
Prerequisites & course information
background equivalent to: MAE 3260 or ECE 3250 or permission of instructor.
Sources
- Course catalogue ↗2026-2027