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GATE 2023 Control system Quiz 68
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Question 1
A state-space representation of a system is given by 
and 
. The zero input time response of the system is 
sin 
The value of 
is ______.
and . The zero input time response of the system is sin The value of is ______.Question 2
Consider the system 
The conditions for completer state controllability and complete observability are,
Question 3
Consider a state model of a system given by the equations
and 
Which of the following option is true.
and Which of the following option is true.
Question 4
Consider the state equation of a system given below,
Where ‘u’ is unit-step input function. Find the value of determinant of the inverse of the state transition matrix.
Where ‘u’ is unit-step input function. Find the value of determinant of the inverse of the state transition matrix.
Question 5
State variable model of a system is__________.
Question 6
A system is described by the state equation, X = AX + BU, The output is given by Y = CX where 
Transfer function G(s) of the system is _____
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Nov 16ESE & GATE EC
