When we take up design of systems, ideally how do we define the stability of a system?

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answerhappygod
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When we take up design of systems, ideally how do we define the stability of a system?

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a) A system is stable, if a bounded input gives a bounded output, for some values of the input
b) A system is unstable, if a bounded input gives a bounded output, for all values of the input
c) A system is stable, if a bounded input gives a bounded output, for all values of the input
d) A system is unstable, if a bounded input gives a bounded output, for some values of the input
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