Abstract
It is shown in this chapter how, by knowing the input–output map of a control system, one can determine the impulse-response function of its linearization. A control system with a given input–output map is also constructed.
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Theorem 8.2 is a special case of a theorem due to B. Jakubczyk [52]. The construction introduced in its proof applies also to nonregular systems, however, that proof is much more complicated.
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Zabczyk, J. (2020). Realization theory. In: Mathematical Control Theory. Systems & Control: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-44778-6_8
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DOI: https://doi.org/10.1007/978-3-030-44778-6_8
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