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Consider the third-order system modeled by: + m- dt2 dx + kx dt 4+3 sin(3t) sin(5t) dt3 1. Using Routh-Hurwitz, determine all conditions required

  

Consider the third-order system modeled by: + m- dt2 dx + kx dt 4+3 sin(3t) sin(5t) dt3 1. Using Routh-Hurwitz, determine all conditions required for m, c, and k in order that system is stable. 2. Using Routh-Hurwitz, determine all conditions required for m; c and k (if any) such that system settling time is less than 4 seconds.

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