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1. (30%) Consider a dynamic system described with the following model. 100 [0] z= 0 a bz+Ou 1 22 (a) Find values a, and

1. (30%) Consider a dynamic system described with the following model. 100 [0] z= 0 a bz+Ou 1 22 (a) Find values a, and b that make the system stable with eigenvalues -1, -1 and -2. (b) Find the equilibrium point of the system if there is no input. (c) Find any set of values for a, and b where the system is unstable.

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