Abstract
This chapter illustrates complications which arise in control theory when control parameters have to satisfy various constraints. Controllable systems with the set of controls being either a bounded neighbourhood of \(0\in \mathbb {R}^m\) or the positive cone \(\mathbb {R}_+^m\) are characterized.
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Results on positive systems are borrowed from the paper [89] by T. Schanbacher. In particular, he is the author of Theorem 4.3 and its generalizations to infinite-dimensional systems.
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Zabczyk, J. (2020). Systems with constraints. In: Mathematical Control Theory. Systems & Control: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-44778-6_4
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DOI: https://doi.org/10.1007/978-3-030-44778-6_4
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-44776-2
Online ISBN: 978-3-030-44778-6
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