Consider the mechanical system with the following dynamics: 1.1. Use the modal matrix 𝑷 = |𝒗𝟏 &#

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Consider the mechanical system with the following dynamics:

Consider The Mechanical System With The Following Dynamics 1 1 Use The Modal Matrix P V1 V2 To Determine The Jorda 1 (20.5 KiB) Viewed 20 times

1.1. Use the modal matrix 𝑷 = |𝒗𝟏 𝒗𝟐| to determine the Jordan
matrix J, the input matrix 𝐵𝑛𝑒𝑤 = 𝑃 −1𝐵 and the output matrix 𝐶𝑛𝑒𝑤
= 𝐶𝑃.
1.2. If we made the variable 𝑢 in Equation (1.1). to be zero (𝑢
= 0), determine whether the autonomous system has a stable
equilibrium.
[) 0 1 + u(t) -5 10-L 1:09]+[]-ces Co y(t) = [10] =