Discuss a continuous-time lti system

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Assignment:

Inverse System: Consider a continuous-time LTI system (A, b, c, d, x(0)) with d != 0 and input-output map u → y.

(a) Determine a realization for the inverse mapping y → u.

(b) What is the corresponding transfer function HI (s)?

(d) Suppose the given system is one dimensional (i.e., n = 1). At what frequency s0 is u ∗ ?

Could use help with (c) & (d).

For (a) I took the dual (A', c', b', d'). For (b) Hi(s) = Hdual(s) = H(s) = c(sI-A)^-1b+d

Reference no: EM133930239

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