1. Spring semester 2006 ESE 601: Hybrid Systems Review materials on continuous systems II

2. Contents Controllability Observability Invariant subspace Controller design: controlled invariance Controller design: pole placement

3. Reachability

4. Reachability of linear systems

5. Controllability

6. ?

8. the inverse exists because of controllability

9. Controllable subspace

11. Contents Controllability Observability Invariant subspace Controller design: controlled invariance Controller design: pole placement

12. Observability

16. Observable subspace

18. Contents Controllability Observability Invariant subspace Controller design: controlled invariance Controller design: pole placement

19. Invariant subspace

21. Contents Controllability Observability Invariant subspace Controller design: controlled invariance Controller design: pole placement

22. Controlled invariance

23. Geometric interpretation

24. Controlled invariance

27. Contents Controllability Observability Invariant subspace Controller design: controlled invariance Controller design: pole placement

28. Pole placement

29. SYSTEM Feedback controller

30. Pole placement