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# GATE EC 2022: Control System Quiz 8

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Question 1

The state equation of an LTI system is given by

The Eigen values are

The Eigen values are

Question 2

The state model of a system is given as

The above system is

The above system is

Question 3

A system has the state variable representation y =[1 1]x. It transfer function is

Question 4

The state model of a control system is given by

Where,

The system is said to be

Where,

The system is said to be

Question 5

A system is described by the following state equations and output equation

Where u (t) is the input and y(t) is the output. The state-transition matrix of the above system is

Where u (t) is the input and y(t) is the output. The state-transition matrix of the above system is

Question 6

Let the state transition matrix of a system be given as

Then which of the following is equal to

Then which of the following is equal to

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Jun 28ESE & GATE EC

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