Two students Amy and Jeff disagree about an analog system fu

Two students, Amy and Jeff, disagree about an analog system function given by H1(s) s. Sensible Jeff claims the system has a zero at s 0. Rebellious Amy, however, notes that the system function can be rewritten as H1(s) 1/s and claims that this implies a system pole at s oo. Who is correct? Why? What are the poles and zeros of the system H2(s) 1/s?

Solution

H1(S)=S.

means that H1(S)=S/1.

so the system has a zero at S=0.

FOR A GIVEN TRANSFER FUNCTION, THE ROOTS OF THE NUMERATOR EQUATION IS ZEROS OF THE SYSTEM AND THE ROOTS OF THE DENOMINATOR EQUATION IS POLES OF THE SYSTEM.

H2(S)=1/S.

HERE THE SYSTEM HAS A POLE AT S=0.