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Observability and controllability of piecewise affine and hybrid systems

Bemporad, Alberto and Ferrari-Trecate, Giancarlo and Morari, Manfred Observability and controllability of piecewise affine and hybrid systems. In: Decision and Control Conference. IEEE, Phoenix, Arizona, pp. 3966-3971. ISBN 0-7803-5250-5 (1999)

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Abstract

We prove, in a constructive way, the equivalence between hybrid and piecewise affine systems. By focusing our investigation on the latter class, we show through counter-examples 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

Item Type: Book Section
Identification Number: https://doi.org/10.1109/CDC.1999.827980
Uncontrolled Keywords: hybrid systems; mixed-integer linear programming; piecewise affine systems; controllability; integer programming; linear programming; linear systems; observability
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 09:18
Last Modified: 16 Jul 2014 14:22
URI: http://eprints.imtlucca.it/id/eprint/611

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