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Handout 1 .pdf


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7/9/2017

AST 303 (Control Systems)
Lec. Mohammad Mehdi GOMROKI

Laplace Transform and Partial-Fraction
Expansion

Faculty of Aeronautics and Astronautics

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Laplace Transform
Complex Variable. A complex number has a real part and an imaginary part, both of
which are constant. If the real part and/or imaginary part are variables, a complex
quantity is called a complex variable. In the Laplace transformation we use the notation
s as a complex variable; that is,

where 𝜎 is the real part and 𝜔 is the imaginary part.

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Laplace Transform

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Laplace Transform

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Laplace Transform

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Laplace Transform

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Laplace Transform

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Laplace Transform

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Laplace Transform

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Laplace Transform

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Partial-Fraction Expansion

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Partial-Fraction Expansion

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Partial-Fraction Expansion

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Partial-Fraction Expansion

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Partial-Fraction Expansion

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Partial-Fraction Expansion

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