1. Robustness of linear systems/ system analysis
• Boundary crossing theorem of Frazer and Duncan
• Mikhailov criterion
• Kharitonov criterion
• Frequency response approaches
2. Selected control design techniques/ control synthesis
• Parameter-space approach of Ackermann and Kaesbauer
• Eigenvalue and eigenvalue domain assignment
• H-infinity control
• Frequency response approaches (Sensitivity function approaches in the frequency domain)
3. Robust LMI-based control techniques
• Lyapunov stability
• Polytopic uncertainty modeling
• Optimality of solutions
4. Duality between control and observer synthesis
• Robust state estimation
• Sliding mode observers
5. Interval methods: Solution of static and dynamic problems (Enclosing function values, Branch-and-bound techniques, Verification techniques for differential equations)
6. Fundamentals: Fault detection and fault-tolerant control