You are given a system with impulse response h(t) = ebt u(t), b > 0.(a) Is the system b...

You are given a system with impulse response h(t) = ebt u(t), b > 0.

(a) Is the system bounded-input bounded-output stable?

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(b) You now hook the system up into a feedback system as shown in Figure P7.27. Find the new system transfer function from the input x(t) to the output y(t).

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(c) Finally, find the range of the parameter A such that the system is bounded-input bounded-output stable.