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In MATLAB, how can we check linearity of systems represented by transfer function?

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In MATLAB, how can we check linearity of systems represented by transfer function?

(a) Check waveforms after superpostion

(b) Compare rank of matrices

(c) Go for Rouche’s Theorem

(d) Intuition

This question was posed to me in class test.

This interesting question is from Linear Systems in section Beyond the Basics of MATLAB

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The correct choice is (a) Check waveforms after superpostion

Explanation: Since we have the transfer function of a system, we need to apply superposition and compare the waveforms generated after applying the method of superposition. Rouche’s Theorem is for a system of equations represented by matrices and it is the method of comparing ranks.

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