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GATE EC 2021: Control Systems Quiz 9
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Question 1
The state transition matrix of a system is given below:
Find the characteristic equation of the system.
Find the characteristic equation of the system.
Question 2
Consider the state space model of a system, as given below
The system is
The system is
Question 3
A single flow graph of a system is given below
The set of equations that correspond to this signal flow graph is
The set of equations that correspond to this signal flow graph is
Question 4
Consider a system characterised by the non-homogenous state equation:
Where
are states of the system and ‘u’ is the unit-step input function. Find the zero-input response of the system considering the initial state as 
is given by
Where
are states of the system and ‘u’ is the unit-step input function. Find the zero-input response of the system considering the initial state as is given by Question 5
Consider the electrical network given below.
Find the state-space representation of the system if the output is the current through the resistor.
Find the state-space representation of the system if the output is the current through the resistor.
Question 6
Transfer function of a system is given as
Find the state-space representation of the above system.
Find the state-space representation of the above system.
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