A linear dynamical system can be created for two masses conn

A linear dynamical system can be created for two masses connected by springs between one another, and connected to opposing walls. The state vector at time t is a 4?×?1 vector consisting of the displacement and velocity of each of the two masses. The transition matrix for this dynamical system is given by the following matrix.

[?i

i

? 30

? ? 30]

Solution

  

A linear dynamical system can be created for two masses connected by springs between one another, and connected to opposing walls. The state vector at time t is

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