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Realization theory

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Mathematical Control Theory

Part of the book series: Systems & Control: Foundations & Applications ((SCFA))

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Abstract

This chapter is devoted to the input–output map generated by a linear control system. The input–output map is characterized in terms of the impulse response function and the transfer function.

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Realization theory was created by R.E. Kalman [56]. He is the author of Theorems 5.2, 5.3 and 5.4. The proof of Theorem 5.1 is borrowed from R.W. Brockett [12].

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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_5

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