Where the new system is linear without any approximations

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Reference no: EM13282320

(a) Consider the system
x' = -ax + x^2 + r
where x is a state variable and r is an input variable.
Perform a change of variables in r, i.e., r (t) --> u (t),where the new system is linear without any approximations (hint: assume x (t) ismeasurable)

(b) Consider the system
z' = -2z + exp(r)
where x is a state variable and r is the input variable.
Perform a change of variables in r, i.e., r (t) --> u (t),where the new system is linear without any approximations.

Reference no: EM13282320

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