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Simulating a dynamical system

Simulating a dynamical system

Simulating a dynamical system

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
๐ด =
[โˆ’0.045 0.036 0 โˆ’32.2
โˆ’0.369 โˆ’2.02 176 0
0.0019 โˆ’0.0396 โˆ’2.948 0
0 0 1 0]
๐ต =
[0 39.6429
28.1464 0
โˆ’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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