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Rational
continuous system functions
Let
the system function
We can represent graphically
the system function by showing all poles(zero's
of D(s) )
and zero's (zero's of H(s)
) and it's ROC
in s-plane.
eg: 
Complete pictorial representation
of the above system function H(s)
in s-plane.
From this graph we can write
the system function as
expression_page5.gif)
Now for stability, Re{s}
= 0 should lie in ROC.
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