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Pariz-Karimpour Apr 2010 1 Chapter 2 Reference: Switched linear systems control and design Zhendong Sun, Shuzhi S. Ge.

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Presentation on theme: "Pariz-Karimpour Apr 2010 1 Chapter 2 Reference: Switched linear systems control and design Zhendong Sun, Shuzhi S. Ge."— Presentation transcript:

1 Pariz-Karimpour Apr 2010 1 Chapter 2 Reference: Switched linear systems control and design Zhendong Sun, Shuzhi S. Ge

2 Pariz-Karimpour Apr 2010 2 Linear Spaces Maps and Matrices Invariant Subspaces and Controllable Subspaces Reachability of Linear Systems Variety and Genericity Stability and Lyapunov Theorems Campbell-Baker-Hausdorff Formula and Average Systems Differential Inclusions Lie Product and Chow’s Theorem Language and Directed Graph

3 Pariz-Karimpour Apr 2010 3 Linear Spaces Maps and Matrices Invariant Subspaces and Controllable Subspaces Reachability of Linear Systems Variety and Genericity Stability and Lyapunov Theorems Campbell-Baker-Hausdorff Formula and Average Systems Differential Inclusions Lie Product and Chow’s Theorem Language and Directed Graph

4 Pariz-Karimpour Apr 2010 4 Linear Spaces

5 Pariz-Karimpour Apr 2010 5 Linear Spaces

6 Pariz-Karimpour Apr 2010 6 Linear Spaces

7 Pariz-Karimpour Apr 2010 7 Linear Spaces

8 Pariz-Karimpour Apr 2010 8

9 9 Linear Spaces

10 Pariz-Karimpour Apr 2010 10 Linear Spaces

11 Pariz-Karimpour Apr 2010 11 Linear Spaces

12 Pariz-Karimpour Apr 2010 12 Linear Spaces Maps and Matrices Invariant Subspaces and Controllable Subspaces Reachability of Linear Systems Variety and Genericity Stability and Lyapunov Theorems Campbell-Baker-Hausdorff Formula and Average Systems Differential Inclusions Lie Product and Chow’s Theorem Language and Directed Graph

13 Pariz-Karimpour Apr 2010 13 Maps and Matrices

14 Pariz-Karimpour Apr 2010 14 Maps and Matrices

15 Pariz-Karimpour Apr 2010 15 Maps and Matrices

16 Pariz-Karimpour Apr 2010 16 Maps and Matrices

17 Pariz-Karimpour Apr 2010 17 Maps and Matrices

18 Pariz-Karimpour Apr 2010 18 Maps and Matrices

19 Pariz-Karimpour Apr 2010 19 Maps and Matrices

20 Pariz-Karimpour Apr 2010 20 Maps and Matrices

21 Pariz-Karimpour Apr 2010 21 Maps and Matrices

22 Pariz-Karimpour Apr 2010 22 Linear Spaces Maps and Matrices Invariant Subspaces and Controllable Subspaces Reachability of Linear Systems Variety and Genericity Stability and Lyapunov Theorems Campbell-Baker-Hausdorff Formula and Average Systems Differential Inclusions Lie Product and Chow’s Theorem Language and Directed Graph

23 Pariz-Karimpour Apr 2010 23 Invariant Subspaces and Controllable Subspaces

24 Pariz-Karimpour Apr 2010 24 Invariant Subspaces and Controllable Subspaces

25 Pariz-Karimpour Apr 2010 25 Invariant Subspaces and Controllable Subspaces

26 Pariz-Karimpour Apr 2010 26 Invariant Subspaces and Controllable Subspaces

27 Pariz-Karimpour Apr 2010 27 Invariant Subspaces and Controllable Subspaces

28 Pariz-Karimpour Apr 2010 28 Invariant Subspaces and Controllable Subspaces

29 Pariz-Karimpour Apr 2010 29 Invariant Subspaces and Controllable Subspaces

30 Pariz-Karimpour Apr 2010 30 Invariant Subspaces and Controllable Subspaces

31 Pariz-Karimpour Apr 2010 31 Invariant Subspaces and Controllable Subspaces

32 Pariz-Karimpour Apr 2010 32 Linear Spaces Maps and Matrices Invariant Subspaces and Controllable Subspaces Reachability of Linear Systems Variety and Genericity Stability and Lyapunov Theorems Campbell-Baker-Hausdorff Formula and Average Systems Differential Inclusions Lie Product and Chow’s Theorem Language and Directed Graph

33 Pariz-Karimpour Apr 2010 33 Reachability of Linear Systems

34 Pariz-Karimpour Apr 2010 34 Reachability of Linear Systems

35 Pariz-Karimpour Apr 2010 35 Reachability of Linear Systems

36 Pariz-Karimpour Apr 2010 36 Reachability of Linear Systems

37 Pariz-Karimpour Apr 2010 37 Linear Spaces Maps and Matrices Invariant Subspaces and Controllable Subspaces Reachability of Linear Systems Variety and Genericity Stability and Lyapunov Theorems Campbell-Baker-Hausdorff Formula and Average Systems Differential Inclusions Lie Product and Chow’s Theorem Language and Directed Graph

38 Pariz-Karimpour Apr 2010 38 Variety and Genericity

39 Pariz-Karimpour Apr 2010 39

40 Pariz-Karimpour Apr 2010 40 Linear Spaces Maps and Matrices Invariant Subspaces and Controllable Subspaces Reachability of Linear Systems Variety and Genericity Stability and Lyapunov Theorems Campbell-Baker-Hausdorff Formula and Average Systems Differential Inclusions Lie Product and Chow’s Theorem Language and Directed Graph

41 Pariz-Karimpour Apr 2010 41 Stability and Lyapunov Theorems

42 Pariz-Karimpour Apr 2010 42

43 Pariz-Karimpour Apr 2010 43 Stability and Lyapunov Theorems

44 Pariz-Karimpour Apr 2010 44

45 Pariz-Karimpour Apr 2010 45

46 Pariz-Karimpour Apr 2010 46 Stability and Lyapunov Theorems

47 Pariz-Karimpour Apr 2010 47 Stability and Lyapunov Theorems

48 Pariz-Karimpour Apr 2010 48 Stability and Lyapunov Theorems

49 Pariz-Karimpour Apr 2010 49 Stability and Lyapunov Theorems

50 Pariz-Karimpour Apr 2010 50 Stability and Lyapunov Theorems

51 Pariz-Karimpour Apr 2010 51

52 Pariz-Karimpour Apr 2010 52 Linear Spaces Maps and Matrices Invariant Subspaces and Controllable Subspaces Reachability of Linear Systems Variety and Genericity Stability and Lyapunov Theorems Campbell-Baker-Hausdorff Formula and Average Systems Differential Inclusions Lie Product and Chow’s Theorem Language and Directed Graph

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