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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

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  • 1. 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