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Cited by 633

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Observability and controllability of piecewise affine and hybrid systems

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Bemporad, A., Ferrari-Trecate, G., Morari, M.·2000·IEEE Transactions on Automatic Control

Abstract

We prove, in a constructive way, the equivalence between piecewise affine systems and a broad class of hybrid systems described by interacting linear dynamics, automata, and propositional logic. By focusing our investigation on the former class, we show through counterexamples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixed-integer linear programming.

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Metadata

Authors
Bemporad, A., Ferrari-Trecate, G., & Morari, M.
Venue
IEEE Transactions on Automatic Control
Published
2000-10
Volume
45
Issue
10
Pages
1864-1876
ISSN
0018-9286 (ISSN-L)
OpenAlex
W2562854303
Cited by
633
References
1
FWCI
60.83
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Observability and controllability of piecewise affine and hybrid systems. https://app.cochat.ai/papers/10.1109/tac.2000.880987
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Bemporad, A., Ferrari-Trecate, G., & Morari, M. (2000). Observability and controllability of piecewise affine and hybrid systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2000.880987

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.