# For A System Whose Input Output Relation Is Given With The Differential Equatio

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System Analysis

For a system whose input- output relation is given with the differential equation :“^ ( t) + 1 0^ ^ ( # ] + 23} &quot; ( * ) + 10 y&quot; ( t ) + 1 6y(t ) _ Kule )All the initial conditions are considered to be zero !` different expressions are given below . Explain if the expressions are &quot; True &quot; or &quot; False &quot; withadmissible reasonsa ] The order of system is 1 .Lil Hosts of system are located on the imaginary axis .[ ] System is stable .*] System is converted to the closed- loop system with a unit feedback for K – 16 . Over -shout of the closed- loop system will be about 15% ( Hint : Note that dominant poleshave the greatest impact on system behavior for higher ander systems ] .{ ] For the above case , settling time of the closed – loop system will be about ?’ seconds .( july ) = I'( t) – I(t ) is given | | |Dj = . The resulting new system ( input It ) – outputW / t’! ) is an unstable system .{ ) For the above case / Part I], the order of the system will be increased by 1 .hi ) Again for the ahave case ( Part I ) , if the imput signal I !’t. ) _ ? is applied to the system .output of the system will be settled to a negative value ( * = 1 1.

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