This document discusses different types of systems and their properties. It contains mathematical equations describing systems including equations for position over time, voltage over time, force over time, input-output relationships, time delays, differential equations, and linear systems. Variables used include x, y, t, v, i, R, F, A, b, f, p, and u. Systems can be classified based on their properties, characteristics or interactions with their environment.

4. 𝒙𝟎
𝒙𝟏
𝒙𝟐
𝒙𝒏
⋮
𝒚𝟎
𝒚𝟏
𝒚𝟐
𝒚𝒏
⋮

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6. <

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𝑭
𝑷
𝐹 =
𝑑𝑃
𝑑𝑡

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15. Los sistemas se pueden clasificar de acuerdo sus propiedades,
características o su interacción con el ambiente.

16. 𝒙𝟎
𝒙𝟏
𝒙𝟐
𝒙𝒏
⋮
𝒚𝟎
𝒚𝟏
𝒚𝟐
𝒚𝒏
⋮

17. 𝑣 𝑡 =
1
𝐶
න
−∞
𝑡
𝑖 𝜏 𝑑𝜏
𝐹 𝑡 = 𝐾𝑥(𝑡)

18. 𝑣 𝑡 = 𝑅𝑖(𝑡)

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21. 𝑦 𝑡 = 𝑥(𝑡 − 𝑡0)

22. 𝑦 𝑡 = 𝑥(𝑡 + 𝑡0)

23. 𝑦 𝑥 = 𝑓(𝑥1, 𝑥2,…,𝑥𝑛)

24. ሶ
𝑥1 𝑡 = 𝑓1(𝑥1, 𝑥2,…,𝑥𝑛, 𝑢1, 𝑢2,…,𝑢𝑛, 𝑝1, 𝑝2,…,𝑝𝑛)
ሶ
𝑥2 𝑡 = 𝑓2 𝑥1, 𝑥2,…,𝑥𝑛, 𝑢1, 𝑢2,…,𝑢𝑛, 𝑝1, 𝑝2,…,𝑝𝑛
⋮
ሶ
𝑥3 𝑡 = 𝑓3(𝑥1, 𝑥2,…,𝑥𝑛, 𝑢1, 𝑢2,…,𝑢𝑛, 𝑝1, 𝑝2,…,𝑝𝑛)

25. 𝑥 = 𝐴𝑥 + 𝑏
•

27. • "𝑓(𝑡)“
𝑓 𝑡.
•
"𝑓(𝑡)“ 𝑓
𝑓 𝑡

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