Determine the stability of each of the systems of Problem.
Consider a causal system with each of the subsequent system characteristic equations.
(a) Give the modes of the system.
(b) Give the natural response for each of the systems.
(i) z – 0.9 = 0
(ii) z2 + 1.5z – 1 = 0
(iii) z2 – 2z + 1 = 0
(iv) z2 – 1.7z + 0.72 = 0
(v) z3 – 1 = 0
(vi) (z – 0.9)3 = 0
(vii) (z – 0.9) (z – 1.2) (z + 0.85) = 0
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