Abstract
For some systems, it may be difficult, or sometimes impossible, to obtain a mathematical dynamical model from physical laws. In that case, one can try to describe the dynamical behavior through so-called input-output relations, where the input signals correspond to perturbations or actions, and the outputs to system measurements. This “input-output representation” approach is also called the “frequency-domain” approach.
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Notes
- 1.
The symbol \(\mathrm O \) corresponds to the Big-O notation: \(f(z)=\mathrm O \big (g(z)\big )\) as \(z\rightarrow z_{0}\) if and only if there exist a positive constant \(\alpha \) and a neighborhood \(V\) of \(z_{0}\) such that \(|f(z)| \le \alpha |g(z)|\), \(\forall z \in V\).
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© 2013 Springer-Verlag Berlin Heidelberg
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d’Andréa-Novel, B., De Lara, M. (2013). Input-Output Representation. In: Control Theory for Engineers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34324-7_3
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DOI: https://doi.org/10.1007/978-3-642-34324-7_3
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