State space systems

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Elec 302: state space systems overview

0.1 "the mars global surveyor"

1 Matrix inversion

2 Controllability

3 The concept of state

4 Controllability and observability grammians

5 Observability

6 Diagonalizability

7 Laplace example

8 Linear systems with constant coefficients

9 Dynamical systems

10 Cayley-hamilton theorem

11 Eigenvalue decomposition

12 Generating sets and bases

13 Matrix exponential

14 Laplace properties and transforms

15 Laplace domain solutions to state and output equations

16 Time domain state and output equations

17 Matrix inversion

18 Matrix representation of systems

19 Defining the state for an n-th order differential equation

20 Partial fraction expansion

21 Linear time invariant systems

22 I/o and i/s/o relationships in time and frequency

Source: OpenStax, State space systems. OpenStax CNX. Jan 22, 2004 Download for free at http://cnx.org/content/col10143/1.3

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