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According to the property of state transition method, e0 is equal to _____

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According to the property of state transition method, e0 is equal to _____

(a) I

(b) A

(c) e^-At

(d) -e^At

I have been asked this question in an interview for internship.

This interesting question is from State Variable Analysis in chapter Time Response Analysis, Design Specifications and Performance Indices of Control Systems

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The correct answer is (c) e^-At

Explanation: By definition state transition matrix is defined as e^-At and this is the matrix that comes into the picture when the total response is considered that is with the free response and forced response.

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