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Observability and controllability of piecewise affine and hybrid systems

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3 Author(s)
A. Bemporad ; Inst. fur Autom., Swiss Fed. Inst. of Technol., Zurich, Switzerland ; G. Ferrari-Trecate ; R. Morari

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

Published in:

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on  (Volume:4 )

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