Which of the following systems is stable?
A. y(t) = log(x(t))
B. y(t) = exp(x(t))
C. y(t) = sin(x(t))
D. y(t) = tx(t) + 1
Answer:A
Which of the following systems is stable?
A. y(t) = log(x(t)) B. y(t) = exp(x(t)) C. y(t) = sin(x(t)) D. y(t) = tx(t) + 1
Explanation: Stability implies that a bounded input should give a bounded output. In a,b,d there are regions of x, for which y reaches infinity/negative infinity. Thus the sin function always stays between -1 and 1, and is hence stable.