The document discusses linear time-invariant systems and their properties. It introduces the concept of a system being described by an input-output relationship function f(t) that is the sum of scaled input signals. It also introduces various input and output signals including current and position signals related to an electrical circuit. The document examines differentiating input signals to determine velocity and acceleration terms.

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𝒚 = 𝒇(𝒕)
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𝑦 𝑡 = 𝛼𝑥1 𝑡 + 𝛽𝑥2 𝑡

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𝑦[𝑛] = 𝛼𝑥1[𝑛] + 𝛽𝑥2[𝑛]

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• 𝒊𝒓(𝒕)
• 𝒊𝑪(𝒕)
• 𝒊𝑳(𝒕)
• 𝒙:
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𝒙
• ሷ
𝒙

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(𝒕)
(𝒕)
(𝒕)
=? ?

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