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stability of control system

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1. A system has the transfer function:
H(z) = (z2-3z+1)/(z3+ z2-0.5z+0.5)

Is the system stable, marginally stable, or unstable?

2. A discrete-time system is give by the input/output difference equation:

y[n+2]-y[n+1]+y[n]=x[n+2]-x[n+1]

Is the system stable, marginally stable, or unstable?

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The solution explains how to determine the stability of control system.

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