Control Theory

- State-space description of multivariable linear dynamic systems, interconnections, block diagrams

- Linearization, equilibria, stability, Lyapunov functions and the Lyapunov equation

- Dynamic response, relation to modes, the matrix exponential and the variation-of-constants formula

- Realization of transfer matrix models by state space descriptions, coordinate changes, normal forms

- Controllability, stabilizability, uncontrollable modes and pole-placement by state-feedback

- LQ regulator, robustness properties, algebraic Riccati equations

- Observability, detectability, unobservable modes, state-estimation observer design

- Output feedback synthesis (one- and two-degrees of freedom) and separation principle

- Disturbance and reference signal modeling, the internal model principle