1. Review materials on continuous systems II
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. Controllability ?

7. Controllability

8. Controllability
the inverse exists because of controllability

9. Controllable subspace

10. Controllable subspace

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

12. Observability

13. Observability

14. Observability

15. Observability

16. Observable subspace

17. Observable subspace

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

19. Invariant subspace

20. Invariant subspace

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

22. Controlled invariance

23. Controlled invariance
Geometric interpretation

24. Controlled invariance

25. Controlled invariance

26. Controlled invariance

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

28. Pole placement

29. Pole placement
SYSTEM
Feedback controller

30. Pole placement