GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 16 of 65

Marks: +1, -0

The characteristic equation of a linear time-invariant (LTI) system is given by

∆(s)=s^{4}+3 s^{3}+3 s^{2}+s+k=0

The system is BIBO stable if

Solution:

Given data :

∆( {s})= {S}^{4}+3 {S}^{3}+3 {S}^{2}+ {S}+ {K}=0

(\;{\;{8}/{3}-3 K}/{{8}/{3}})>0

(\;{8}/{3}-3 k) \;\; 0

3 K<\;{8}/{3}

K<\;{8}/{9}

(0 < K < \;{8}/{9})

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