Zeros and poles are fundamental concepts in the field of complex analysis, particularly in control theory and signal processing, where they are used to analyze and design linear systems. ### Zeros: - **Definition**: Zeros are the values of the input variable (often \( s \) in the Laplace domain) that make the transfer function of a system equal to zero.
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Zeros and poles describe the positive and negative local orders of a meromorphic function. Locally with holomorphic and nonzero at : is a zero, is a pole, and is a regular nonzero value. A simple pole has , and the order of vanishing records .