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In non-linear system stability is :

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In non-linear system stability is :

(a) Dependent on the input

(b) Independent on initial state

(c) Independent on input

(d) Dependent on input and initial state.

I got this question in my homework.

My doubt is from Necessary Conditions for Stability and Non-Linear Systems topic in chapter Stability and Algebraic Criteria of Control Systems

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Right answer is (d) Dependent on input and initial state.

The explanation is: In non-linear system the stability is dependent on the input and initial states.

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