1. State Space Method

2. Transfer Function

3. An Example
Linear differential equation
The Laplace transform is:

4. An Example
Differential equation:

5. General Equation

6. State Variable Equations

7. State Variable Equations

8. High order D.Eq. => T.F. => State Variable Eqs.

9. Example

13. Solutions of state equations

14. Solutions of state equations:
Scalar Variable no Input:

15. Solutions of state equations:
Vector Variable no Input:

16. Solutions of state equations:
Scalar Variable with Input:

17. Solutions of state equations:
Vector Variable with Input Signal:

18. Transfer Function and State Space

19. Example

20. Example

21. Example

22. Example

23. Example

24. Example

25. Review