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What is the physical interpretation of the poles and zeros?

Engineering
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let there is a function \[F(s)=\frac{ sE(s) }{ (s-P_1)(s-P_2)}\] in this equation u can see when\[s=P_1 \] or \[s=P_2\] then the function \(F(s)\) will become infinite or simply the function will blow out so here P1 and P2 are the poles. and look when \[s=0\] or \[s= \infty\] then the function will simply vanish so hete s=0 or infinity are the zeroes for which the function will vanish hope this helps :) @Talha_Talha
in the analysis of Control System, the poles (usually determined at denominator of transfer function) will give you system's behavior or steady state response using the unit step function \(f(t) = u(t)\)...
You can also determine system's Stability...

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Other answers:

i agree with orion1213 poles and zeroes are required to determine the system stabality

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