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ESE 2021 Technical Quiz 30 || State Space Analysis
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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
The state model of a system is given as
Find the condition for controllability and observability.
Find the condition for controllability and observability.
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.
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