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A linear time invariant system is stable if :

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A linear time invariant system is stable if :

(a) System in excited by the bounded input, the output is also bounded

(b) In the absence of input output tends zero

(c) Both a and b

(d) None of the mentioned

I got this question in homework.

Question is from Stability of Nonlinear System topic in portion Nonlinear Systems of Control Systems

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Correct answer is (c) Both a and b

For explanation: A system is stable only if it is BIBO stable and asymptotic stable.

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