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Simulating a dynamical system

Simulating a dynamical system

(OP)
I have a question I am trying to figure out how to approach. My Matlab code is not outputting as I would like. Is there any way I can get some help modeling this system?

Consider a linear dynamic time invariant system given by:
๐ฅ = ๐ด๐ฅ + ๐ต๐ข
where
๐ด =
[โ0.045 0.036 0 โ32.2
โ0.369 โ2.02 176 0
0.0019 โ0.0396 โ2.948 0
0 0 1 0]
๐ต =
[0 39.6429
28.1464 0
โ12.0182 0
0 0]
1: Simulate the dynamical system for the state variables
1. ๐ฅ(0) = [0,0,0,0]^T
2. ๐ฅ(0) = [1,0,1,0]^T

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